SMS_F2013_12

Structural Materials Selection Fall 2013 Session · 9 sections 15 cases · Watch on YouTube ↗ all files
Layer 3 — readable edition

§1. Course logistics and presentation scheduling [00:02]

§1.p1

I looked over those of you that had topics. There's still a few that haven't picked a topic. I just talked to the two of you that I had some questions about your topics being a little broad. If you have more questions about that, I'd be happy to sit down with you individually and flesh things out.

§1.p2

Over the next couple of days I'll put together a tentative schedule of what days we're going to do it and who's going to present. You're welcome to come to all of them. I'd like you to come to half, but I'm not going to require that you come to all six or seven days of presentations unless you want to. You may find that they're more interesting than the lectures. I find they're more interesting than the lectures — I've heard the lectures before.

§1.p3

It's going to be towards the end of October, beginning of November, and it'll be spread out over a couple of weeks. I might try to pick different days, some Tuesdays and some Mondays, because some people have scheduling issues. I think we solved most of the scheduling problems with the 8:30, 9:30 slot.


§2. Aloha Airlines and aircraft pressure-vessel fatigue [01:20]

§2.p1

We were talking about aluminum, and I want to finish up by giving you some idea of the scale of aluminum production, compare and contrast it with steel, which is forty times the scale in terms of amount of material made. I also want to talk about some of the corrosion or fatigue problems. Anybody know what this is a picture of?

§2.p2

Aloha Airlines. This was twenty-five years ago now. It was a 737, basically flying scheduled flights between islands in Hawaii. Except for being flown out to Hawaii, it was always just doing these twenty-minute flights from island to island. As a result it had something like sixty thousand cycles in about half the time of a regular aircraft, because its flights were an average of twenty or thirty minutes as opposed to forty-five minutes or an hour — the islands are so close together.

§2.p3

The fuselage of a pressurized aircraft is a pressure vessel. You've got higher pressure inside than you do outside. It might be eight tenths of an atmosphere inside, so it's like being in Denver at a higher altitude. Outside it might be four tenths of an atmosphere. I don't remember what it is at forty thousand feet, but there's a pressure differential. You have to build this thing as a pressure vessel, and every cycle — we call them GAG cycles, ground-air-ground — taking off and landing, you pressurize it and depressurize it. That's a fatigue cycle. So this thing had forty-some thousand cycles and finally it just let go at all the rivet holes and the whole top came off. Only one person died — a stewardess who was not sitting down and seat-belted in. The people who were in a seat with seat belts didn't get pulled out. She got pulled out and perished, but the thing landed.

§2.p4

Student: [inaudible question about cycle count and hours]

§2.p5

Yeah, this was around 60,000 cycles, but it was like 40,000 hours — a lot fewer hours. This is what happens in corrosion or fatigue: whoever's the leader is going to be the first one who fails. I'm going to give you another example, but this happens to be a fatigue failure. It was partly corrosion fatigue.

§2.p6

I was amazed until I stopped to think about it: there really is a keel beam down here. I always thought if you lost over half your pressure vessel the whole thing would just crack up, but in fact it's got this great big I-beam down here made out of aluminum. So it was just a pressure vessel canopy, if you will. With aluminum, we have to worry about some of the lifetime problems.


§3. Blackhawk washer stress-corrosion cracking [04:47]

§3.p1

Another example I have here is this washer. [Tom holds up an aluminum washer and a steel nut.] It's got a gray edge which means it came from a Seahawk helicopter. This is a steel nut that goes on top of it. The holes don't line up because of the design — instead of having a cotter pin, you put the washer on, put the nut on, tighten to the proper torque, and there's one more hole in one than in the other, so there'll always be one that lines up and you put a screw through it. This holds the tail rotor of a Blackhawk or Seahawk helicopter — one's an Army part, one's a Navy part. This particular alloy was 6061, which I told you yesterday was the workhorse aluminum alloy.

§3.p2

It was supposed to be 6061-T6 heat treatment, which is solutionized and artificially aged. And it was supposed to be a -51, meaning they would take the bar and stretch it one percent to relieve residual stresses. This is made from a three-inch bar, machined into a washer. When they bought it from Alcoa or whomever, they would heat-treat it to the T6 condition. In aluminum, because of the good thermal conductivity, the quenching process introduces residual stresses, and the -51 is a way to relieve them.

§3.p3

Tensile relief of residual stresses by mechanical means is common in a lot of aluminum alloys. They take whole plates at the Davenport, Iowa world's largest rolling mill — which is not for steel, it's for aluminum. In Davenport they have these about twelve-foot-wide rolls with four-foot-diameter steel rolls to roll the world's largest aluminum plates. What do we use the world's largest aluminum plates for? The world's largest aircraft wings. All the aircraft wings for Boeing — not necessarily for Airbus, they may get theirs from somewhere else — and when McDonnell Douglas was in business, all came out of the Alcoa Davenport works.

§3.p4

There are residual stresses, and they take these huge plates that are four inches thick — I've been to the room where they have these big hydraulic expanders — and they grab the plates, which might be thirty feet long, and pull them one to three percent in plastic strain to relieve the residual stresses from heat treatment. The residual stresses from heat treatment can lead to stress corrosion cracking, which is exactly what happened to the washer. It was on an Army Sikorsky Blackhawk. It cracked. They lost the tail rotor — it wouldn't spin because it no longer had the tension on it holding it together, and the helicopter starts spinning around. It crashed and killed a bunch of soldiers in Arkansas.

§3.p5

So they started looking around: why did this happen? Of course they said, oh, we shouldn't have been using the T6 heat treatment, we should have been using the T73. T73 is aged past the peak — T6 is aged for optimum strength, T73 is over-aged. You get about ten percent lower strength. If you look at the tempering curves for aluminum, time versus temperature, T6 is optimum age; T73 is past peak by about ten percent, but the toughness doubles. And the stress corrosion cracking resistance increases by about a factor of two on stress, which is like a factor of ten on life in terms of corrosion fatigue.

§3.p6

They had actually had this problem in a different helicopter — not the Blackhawk or the Seahawk. The Coast Guard version is the Jayhawk. They make basically the same helicopter for all the different services, but each has its own name. There's also another form of the Blackhawk which is the Presidential helicopter, and if you go down to Sikorsky where they make that version, it's in a super-secure area with all kinds of super-secret communications gear.

§3.p7

The washer is exactly the same. When they investigated this failure that killed people in Arkansas, they found that this other helicopter group had seen the problem and had switched from T6 to T73 to double the stress corrosion cracking resistance by going to the over-aged condition. They said, we'd better order new washers in T73. They started looking and found these things sitting on the shelf in Navy supply depots with stress-corrosion cracks in them — never been put in service, just the residual stresses from the original manufacture.

§3.p8

We measured them — that's why this one has a little cut in it. We didn't take strain gauges, we just measured the distance between these flats before and after cutting, and estimated the residual stresses at eight ksi. Five ksi is the stress corrosion cracking threshold. So the residual stresses were enough to crack this on the shelf without ever putting it in service. The Navy saw it first. Why? Because the Navy is the corrosion leader in the military — everything they've got is surrounded by salt water. The Navy will crack things first.

§3.p9

The Blackhawk design team went and found out from this other design team, oh yeah, we switched those to T73. So they order 1500 of them, fifteen-month lead time. In the meantime the helicopter goes down in Arkansas. Unfortunately it wasn't the Presidential helicopter — although it depends on whether you're a Democrat or Republican at the time.


§4. Alclad and continuously cast clad aluminum [12:09]

§4.p1

Aluminum in general has very good corrosion resistance as pure aluminum. That picture of the Aloha Airlines — the outside skin is a clad aluminum. For sixty, seventy years we've been making roll-bonded aluminum. You take a heat-treatable aluminum plate, typically 2024 — in fact when I had that FAA manual, the old MIL-Handbook-5, I opened it up and it was 2014 Alclad. They call it aluminum-clad aluminum.

§4.p2

They basically roll pure aluminum — 1100 aluminum — into about one-inch-thick plate. They take an ingot of 2014 or 2024 heat-treatable alloy. They roll-bond the one-inch-thick pure aluminum onto the surface of the heat-treatable aluminum. The pure aluminum has no copper, so it doesn't set up little galvanic cells between the aluminum and the copper precipitates that lead to corrosion. The 1100 aluminum is fantastic in corrosion resistance. We use it for things like cookware in the kitchen — not much strength, but if all you're doing is lining the bottom of a stainless steel pan to give it good thermal conductivity and corrosion resistance, you don't want it to pit, so you use pure aluminum.

§4.p3

That's what they started doing with the skin of aircraft. It was very expensive, so they learned to roll-bond a very thin layer. You'd roll this big ingot with clad surfaces of aluminum down to a sixteenth of an inch thick, with one or two thousandths of pure aluminum on the surface — called Alclad, clad aluminum.

§4.p4

A couple of years ago, a guy in Spokane, Washington, whose father and uncle had invented the process for casting essentially all the aluminum in the world, developed a process to jointly cast one aluminum alloy next to another. Instead of roll-bonding, they could cast continuously. The 1100 aluminum here, the alloy aluminum over here — etched a little different color — and this is actually a casting fusion line where they cast it in shape. They no longer had to roll-bond, and made clad aluminum sheet much cheaper. That's coming to the market and bringing aluminum into things like kitchen appliances — stoves and refrigerators — where it didn't have as big a market, because you can now have a corrosion-resistant surface with a high-strength core. Essentially it's a composite grown from the melt. They reduced the price of this aluminum composite dramatically, and that came on the market about five or seven years ago.

§4.p5

It's a continuous casting process. They pour one molten alloy in here and the other in here. For aluminum, the two fuse together. This is actually a fairly broad fusion line — a millimeter wide, and if you got in there you'd see a fair amount of mixing. It builds on the whole aluminum casting process, called direct chill. You start with a water-cooled copper plate about the size of a desk — which is going to be the size of your ingot — and water-cooled copper molds. The bottom of the mold withdraws, and you pour aluminum that freezes on the bottom and on the water-cooled sides. It's called DC casting, direct chill casting. You withdraw it and make an ingot that's twenty to forty feet long by five or six feet wide by two feet high.

§4.p6

Now you can make it with one or two clad layers — actually up to double layers of cladding. You may want a brazed alloy in there. It's not always corrosion resistance you want; sometimes you want a brazed alloy. All the aluminum in automotive radiators is brazed. There's a tremendous volume of radiator sheet.


§5. America's Cup hydraulic cylinder: design-to-failure philosophy [17:20]

§5.p1

You've got to worry about some of the corrosion resistance of aluminum. Since one of you is interested in sailing, I brought one of my America's Cup projects. [Tom produces a fractured hydraulic cylinder.] I don't know if you can see it. It was always hard to see — I never etched it. This is a fractured hydraulic cylinder from America's Cup. The fracture origin is right here, but over time it's hard to see unless I put it in a microscope.

§5.p2

The America's Cup is sort of interesting. In most cases we don't want things to fail, and we don't want them to fail for a long period of time. The America's Cup doesn't last that long. I've talked to one of the guys who used to be — a graduate of mechanical engineering here at MIT — who makes components like this. He brought this to me once. He's down in Connecticut, has a company called Navtec, and they make high-end marine equipment, hydraulic cylinders and things, one-of-a-kind special purpose things for the America's Cup.

§5.p3

Stainless steel turnbuckles and aluminum cylinders. This is a 7,500 psi hydraulic system for raising and lowering the sails. If you know anything about hydraulics, 7,500 psi is pretty high pressure. The Blackhawk helicopter went to 3,000 psi hydraulics to save weight, but nowhere close to 7,500. The V-22 Osprey went to 3,000. Typical hydraulics might be 1,500 or 2,000. But when you get really weight-critical, rather than steel hydraulic cylinders they go to aluminum, and they'll make them so thin that they expect them to fail. What he told me is, if they don't fail, then you're making them too heavy — in the America's Cup trade.

§5.p4

You don't want them to fail; you want it to last as long as a race. But they don't care. They're spending a hundred million dollars on these vessels, and you've got a multi-multi-billionaire who wants bragging rights at the yacht club — he doesn't care if it fails and he has to spend another five thousand dollars for a silly little hydraulic cylinder. But you do want them to fail safely. The problem was, these things were exploding when they failed. It was a little stress corrosion fatigue crack starting from the outside. He brought me this thing and wanted to know, what do we do about it?

§5.p5

It was 7075-T6 — I have my notes here from the letter he sent me originally. 7075 is an aluminum-zinc alloy. It was stress corrosion cracking. They had gone to T6. I don't think they had the -51 stretching heat treatment in there. The solution to his problem — it was only about an eighth of an inch thick — was to go from three millimeters to four millimeters thick, to increase the wall a little bit. We're going to get less strength, but we double our stress corrosion cracking threshold.

§5.p6

With that we made it into a leak-before-break. When the crack went all the way through, it would just spray out a little stream of oil, people get oily but they wouldn't get shrapnel going through them. You don't mind being oily because you've got slickers on anyway. You expect them to fail. If your hardware doesn't fail on a regular basis in the America's Cup, you've made it too heavy. A little different philosophy — actually one of the only industries I know where you design things right on the edge of failure.


§6. Ratio analysis diagram and the Ashby framework [21:56]

§6.p1

What else do I have on aluminum? I guess to give you a feel for what we do in aluminum: it's the heat-treatable alloys with their copper and magnesium and zinc that give them their strength by precipitation hardening. But it also decreases the corrosion resistance. I taught you about scandium on baseball bats to decrease the grain size.

§6.p2

When we look at trying to get both toughness and strength — this is the old ratio analysis diagram I put up earlier in the semester. This one is for steel, and it was developed out of the Liberty ships at the Naval Research Laboratory in the 50s and 60s. It plots toughness versus tensile or yield strength. This is called the technological limit. At low-strength steel you get very high toughness. As you go to higher yield strengths up to 300 ksi, toughness goes down and your critical flaw size gets smaller. These lines here — critical section thickness — show two and a half inches. You can build a pressure vessel out of a steel with properties anywhere along this line, two and a half inches thick, and it would leak before it breaks. You don't want a brittle fracture where it shatters like glass and sends shrapnel around in a pressure vessel or a submarine — which is also an externally pressurized pressure vessel. But you get down here to 300 ksi steels and your critical flaw size is a tenth of an inch.

§6.p3

You'd like to have a ratio of toughness to yield strength — K squared over sigma — of two and a half. That's the difference between your plastic deformation region and your plane strain region. If you want to be in the elastic-plastic region, which is where we can usually afford to design structures, you've got to have fracture toughness squared over stress of two and a half. This is for aluminum: it has one-fifth the fracture toughness. It has about one-seventh the strength unless you go way out here, and it still has only one-third the strength. The critical flaw size, when you start getting into baseball bats or aluminum-lithium alloys, is down to a tenth or two-tenths of an inch.

§6.p4

Here's titanium. Let me go back to the Ashby plot and talk about structural materials in general. The Ashby toughness versus strength — for mechanical structural material we're interested in toughness and strength as the two measures. Strength is the force, toughness is the energy of fracture. If I have yield before fracture, it's going to deform before it shatters. If I have fracture before yield, I've got a brittle material that just shatters — like a hand grenade, sending shrapnel around.

§6.p5

This K1c over sigma-f constant of two and a half has this slope. There's another criterion for safe design — K1c squared over pi sigma squared. The K1c over sigma is actually the dimensionless number for the fundamental equation of fracture mechanics. This two and a half — on the little log scale on these dashed lines — I've put a blue line in. On this side we'd like to design: elastic-plastic. On the other side, brittle material — we've got to be careful when we start using these types of materials.

§6.p6

Let's look at what we've got. Steels overlap. Nickel — mostly on that side. Titanium overlaps. All of your composites — graphite reinforced, carbon fiber reinforced, Kevlar reinforced — overlap. Aluminum alloys overlap, copper alloys, magnesium out once, overlapping. That's the metals. If we look at woods: this is parallel with the grain — that's how we use a two-by-four. Perpendicular to the grain, it's a brittle material. You'd never put wood in that direction if you're trying to do a structural material. Wood is actually an anisotropic composite material.

§6.p7

This two and a half line splits right — here are your ceramics: rocks, pottery, most ceramics over here. Even your high-performance ceramics and glasses are down here. So if we really look at structural materials, it's on this side of the line that we're usually working. But we still have to be careful, because this blue line cuts through most of these materials. This alloy's great and this alloy's lousy, and it's the same base system.


§7. Periodic table survey: alkalis, alkaline earths, and beryllium [27:31]

§7.p1

I'm trying to bring it back to why we spent so much time talking about certain types of materials. I'm pretty much done with aluminum, and I was going to go into magnesium, which I probably will. Tomorrow we have a guest lecturer, Adam Powell, coming to talk about the company that he and Professor Paul — both used to be faculty members in this department in chemical metallurgy.

§7.p2

Periodic table. I'll finish up on Friday. Cross out iron, we've sort of done aluminum, we're going to do magnesium. As structural materials we have not gotten very far according to the periodic table. However, you can sort of cross out everything. Among the alkali metals, hydrogen is not much of a structural material unless you're down at less than twenty degrees Kelvin. Lithium, sodium — these are all too soft. You may not want to push on them with your finger because they'll react with the moisture in your skin and cause sodium hydroxide and a burn. But they're very soft materials, inherently soft.

§7.p3

Francium — we can't even isolate it. The only time we've ever discovered it is in the spectra of some impurities in other things. It's almost a non-existent material on Earth. It exists, but only as an impurity. You can't go buy a lump of francium. Cesium — we use cesium for a few functional applications. Rubidium — it concentrates in tobacco stocks, and they use tobacco stocks to make welding electrodes because they like the rubidium. Anything here is an easy electron donor, so we like to put sodium and potassium and rubidium and lithium into welding electrode fluxes. But they're not structural materials.

§7.p4

This column — beryllium is a structural material. If you went back to Ashby's book and looked at the price of beryllium, it's probably several hundred thousand dollars a ton. You get a lot of it per ton — it's a very light element. If you've ever picked up a piece of beryllium, which most of you haven't, it's like picking up a piece of paper, it's so light. It has a very high melting point — 1560 centigrade. It melts at a higher temperature than steel.

§7.p5

It's used, at $400,000 a ton or whatever it costs, for spacecraft. That's the only structural application, but it's used all the time in spacecraft because it's so light. It's a very rigid material, with a fantastic specific strength ratio. It's way off the chart if you looked at one of these Ashby charts. But it's expensive. Why? Toxic. If you get any pure beryllium powder, or any compound, in your lungs, and you're part of the ten percent of the population with a genetic predisposition to berylliosis, you'll get nodules forming in your lungs that consume your lungs, and you slowly die of suffocation. For the ninety percent, it's not a problem.

§7.p6

This was discovered right up here on the corner of Mass Ave. Not where we have Building 35, but on the corner of the other side of the railroad tracks — or it could have been on this side where the little bank kiosk is in the parking lot. MIT, during the Manhattan Project in World War II, was working on beryllium for some nuclear warheads. It was a new material. There were faculty members here working on the metallurgy of beryllium, with a little machine shop, machining beryllium parts. Towards the end of World War II, beginning of just after the war, a few of the machinists started dying of this lung disease. They tracked it down to berylliosis, which had never been discovered before because it was a new material.

§7.p7

They showed through contaminating rats — it wasn't until years later that they learned there's a genetic predisposition. I think one of the students in this class did a presentation on berylliosis once, and that may have been where I found out it was only ten percent. But people are deathly afraid of using beryllium. I was cleaning out an old lab — Professor Grant's lab — when I was department head. It's right around the corner from headquarters. Professor Shu, now a professor at Northwestern but a young professor here at the time, came in in a fit because he'd found a bottle of beryllium powder. I said, David, it had been sitting there since 1946 or whatever. It's got a cap on it. He says it's dusty. I said, yeah, but that's dust from the air. It's had the cap on it for twenty years. I went and picked it up — it's in the jar. I'm not going to dust it and throw it in the air and find out if I've got that genetic predisposition.

§7.p8

People are deathly afraid of beryllium, beyond what they ought to be. It has to be in powder form — beryllium chloride, beryllium oxide, beryllium metal — get inside your lungs, and if you're in that ten percent, you've got serious problems. It's toxic, but it's also expensive to manufacture, partly because it's toxic — they have to have all these controls so manufacturing workers don't get berylliosis.

§7.p9

It has one application I keep thinking how to bring in. Non-sparking tools. You can take copper alloys and give them 180 or 200 ksi strength by precipitation heat treatment — copper-beryllium. You make a copper-two-or-three-percent-beryllium alloy, heat-treat it, and end up with a copper alloy as strong as some of your strongest steels. They use it in mines for non-sparking equipment. In a mine, you've seen steel shovels get a spark when you hit them. It's not a good thing in a mine full of methane — you could have a ka-boom.

§7.p10

In mines they use high-thermal-conductivity tools — copper is high-thermal-conductivity. You make beryllium-copper hammers, and you can bang them against a copper-beryllium nail or pick, and it won't spark. You can do it all day long. There's just enough heat transfer that when the frictional heating goes in, it carries the heat away faster than the ability to generate temperatures sufficient to cause sparking. That's not true in steel. You'd love to do it in aluminum because it'd be cheaper than copper-beryllium, but aluminum — it's got good thermal conductivity, but you can't get 200 ksi strength in aluminum.


§8. Calcium as Portland cement; barium, radium aside [36:39]

§8.p1

That's beryllium. Let's go down the periodic table — I'm going to skip magnesium for a second. Calcium — we've actually talked about that. How? It's used in larger quantities than steel. It's called Portland cement. I gave you the formula. You take calcium carbonate, called limestone — all these little sea critters gave their lives and deposited themselves at the bottom of the ocean over millions of years, and earthquakes brought them to the top. We mine it, turn it into powder, spread it on our lawns to get rid of acid rain. But we also can take it, put it in a kiln, drive off the CO2 at a thousand degrees centigrade, and end up with calcium oxide — burnt lime. Mix it with water and you get calcium hydroxide.

§8.p2

It's not always pure calcium limestone. Some of those little critters had magnesium in them. Dolomite is fifty percent calcium with fifty percent magnesium carbonate. Some of your Portland cement is a calcium-magnesium alloy. We do use calcium as a structural material — Portland cement. It's used in larger quantity than iron.

§8.p3

Magnesium — let me finish up these. Strontium and barium start to get very soft. Radium — some forms are radioactive. They used to drink it back in the 1920s. Have you ever heard about that? When radioactivity was new, people thought they'd make radium cocktails — they thought drinking it would make them feel better, sort of like five-hour energy. But it was very expensive. The longer they drank it, they started having other effects. There's one guy who was very wealthy, and to his dying day would drink a glass of radium every day. His dying day didn't take too many months, because his bones started decalcifying and he started turning into just sort of an amoeba, no structure. So maybe we call this an anti-structural material. But this was the 1920s, so these things don't really count.


§9. Magnesium: applications, anodes, and burning [39:27]

§9.p1

Magnesium does count for something. Let's talk about the quantities used in the world. Shipments of magnesium from '83 to '88 — it doesn't matter too much, they didn't change dramatically. 28,000 metric tons used for die castings, then 37,000 tons for gravity and wrought products. Only seven thousand of the thirty-seven thousand is wrought products — wrought meaning sheet. Someone wanted to deform magnesium, and I said it's not easy. This is an example. To work it you have to do it warm. It's a hexagonal close-packed metal. It can be made into sheet, but you have to really know what you're doing.

§9.p2

Mostly we use it — structural, non-structural. Magnesium is used to make the 6000 series or 7000 series aluminum alloys. About half of all the magnesium made goes into alloying for aluminum. Desulfurization — that goes into steel, to get the sulfur out and just form manganese sulfide. Nodular iron — you can make cast iron and change the graphite morphology and call it ductile iron. That's a growing market segment, growing fairly dramatically up until '80, even beyond '87.

§9.p3

Metal reduction — magnesium is so reactive, you can make magnesium metal and react it with a chloride or fluoride of something else, like tantalum chloride, to make tantalum metal. All your tantalum capacitors are made by magnesium reduction of tantalum chloride or tantalum fluoride. Metal reduction, chemical uses of magnesium.

§9.p4

Electrochemicals — if you own a hot water heater, it probably has a magnesium anode going down the center, a sacrificial electrochemical anode. It corrodes, just like zinc on galvanized steel becomes the anode that corrodes and cathodically protects the steel in a hot water tank. To protect the copper, brass, steel — anything the water comes into contact with — you use magnesium as a sacrificial anode.

§9.p5

Student: Do they use aluminum?

§9.p6

They use aluminum, yeah. Magnesium is better. The problem with aluminum: if you have certain ions in your water, the aluminum can form a passive scale on the surface, and all of a sudden the aluminum becomes non-anodic, becomes cathodic. Aluminum is sometimes called amphoteric, which means it can switch its polarity in the galvanic series. In proper conditioned waters, aluminum is fine as an anode material, but magnesium is better. If you look at the galvanic series, all the way over here the most reactive is magnesium, and all the way over here the least reactive is graphite. It's like an extra half volt you get out of magnesium compared to zinc. Magnesium is really the most electroactive of our common sacrificial anodes.

§9.p7

Two structural applications. The US Navy out in Port Hueneme, California, where they have a diving school, developed about thirty or forty years ago — people around 1980, 70s and 80s, were very interested in these ceramic-metal composites, the aluminum-silicon-carbide composites I mentioned. The Navy was trying to make lightweight magnesium composites with silicon carbide or graphite. Professor Latanision, who worked on corrosion here, was working on some of these things. He found that if he tried to polish them to make a metallographic sample, they would corrode faster than he could polish. They had to polish in oil rather than water, because you've got graphite and magnesium, the two far ends of the galvanic series. It corroded so fast.

§9.p8

The Navy said, ah, it corrodes fast — we'll use that property of rapid corrosion. They found two uses. One: divers could take this composite down in a plastic bag. When doing salvage operations, sometimes you build a great big balloon and fill it with gas to lift the salvage to the surface. They didn't have to pump gas down a couple hundred feet. They could just break open this thing and it would corrode and generate hydrogen gas. You had to be careful when it got to the surface that you somehow attached it and dissipated the hydrogen before you blew it up. It was used as a salvage material. The other use: when divers were diving in cold water, they could strap it in these plastic things, and if they got cold they could pierce the plastic and it would corrode and generate enough heat to keep them warm.

§9.p9

You have to understand one of the Achilles heels. They only made 200,000 tons in 1983, 250,000 tons in 1988 — a quarter million tons. Aluminum is like forty million tons. Steel's a billion tons. So yes, magnesium is one of our structural materials, but it has several Achilles heels. One: it corrodes. It's a great corroding material — the Navy called these super-corroding alloys.

§9.p10

In addition to corrosion, it will burn if you get to certain temperatures. If you want to see this, go to New York City, go to one of the poor areas of town where they torch cars on the sidewalk to get the insurance money. Your car's a junker but it's got mag wheels. You torch it. Throw some gasoline on a car and on some magnesium, the fire will get hot enough, magnesium will ignite, and you get a really hot fire. It burns at about 4000 degrees. Magnesium is used in flares, used in fireworks in powdered form — gives bright white lights. It burns because it's so reactive.

§9.p11

You also develop residual stresses, so when you try to weld it, the humidity in the air will almost crack it right behind the weld. Not quite that fast — you come back two days later after fusion welding magnesium alloys, if you haven't stress-relieved it, just the humidity in the air will cause stress corrosion cracking. That's why most things are castings — castings don't have residual stresses. Most of the magnesium that went on automobiles used to be in the wheels, and they would just paint those for corrosion resistance. Now it's going underneath the dashboard, in very specialized applications.

§9.p12

It does come into play in some things like the Blackhawk helicopter — here's an old article about the Blackhawk and the use of high-performance magnesium. The US government is constantly spending tens of millions of dollars every year to try to develop a low-cost magnesium market, saying, we can build lightweight automobiles. You can't roll sheet very easily, and automobiles are made out of sheet. You can make castings, but I have yet to figure out why they do all this. Tomorrow when Adam Powell comes in, he'll tell you that one of the first things they did with his technology was to make magnesium, because they could get several million dollars from the US government to make low-cost magnesium.

§9.p13

Magnesium costs about twice as much as aluminum. In terms of energy costs, it really shouldn't cost any more. There's a guy, Joel Clark's first doctoral student here in the mid-70s, who did a thesis on the magnesium business and the cost of magnesium. He didn't say it as directly in his thesis because he could have been sued, probably, but his basic conclusion was that after World War II, Dow Chemical, which has sort of a monopoly on magnesium production — of this 250,000 tons, they may make 200,000 tons — they got a near monopoly. According to Dr. Kenney, you can track the price from 1946 all the way up to 1975, and the magnesium and aluminum prices tracked perfectly with one another. You can do statistics and correlation coefficients. There is no economic reason for that to be true other than an illegal cartel. But Americans don't do that. So obviously it's not true.

Cases referenced

  • Aloha Airlines Flight 243 §2.p1

    Used to introduce aluminum pressure-vessel fatigue. Tom emphasizes the high cycle count (~60,000) accumulated in only ~40,000 hours due to short inter-island flight legs, and uses the survival of the keel beam to introduce structural redundancy. Treated here as corrosion-fatigue.

  • Black Hawk helicopter tail rotor washer failure §3.p1

    Stress-corrosion cracking of 6061-T6 aluminum washer holding the tail rotor of an Army Sikorsky Blackhawk; helicopter lost rotor and crashed in Arkansas. Tom traces the design history: the Coast Guard / Jayhawk team had already switched to T73 and not told the Blackhawk team. Same washers found pre-cracked in Navy supply depots from residual stresses alone (measured 8 ksi vs. 5 ksi SCC threshold).

  • Davenport Iowa plate stress relief by hydraulic jacking §3.p3

    Referenced as the production-scale analog to the washer's -51 treatment. World's largest rolling mill — for aluminum, not steel — produces aircraft wing plates for Boeing and the former McDonnell Douglas. Hydraulic expanders pull 30-foot, 4-inch plates 1–3% in plastic strain to relieve quench stresses.

  • Aluminum aerospace clad-sheet manufacturing (Alclad and continuously cast variants) §4.p1

    Seventy-year history of roll-bonding 1100 aluminum onto 2014/2024 cores to prevent galvanic micro-cells from copper precipitates. Recent (~mid-2000s) commercial development by a Spokane WA inventor of continuous direct-chill casting that fuses two alloys at a single fusion line, dropping clad-sheet costs and opening kitchen-appliance and brazed-radiator markets.

  • America's Cup hydraulic cylinder stress corrosion cracking §5.p1

    7075-T6 aluminum hydraulic cylinder at 7,500 psi exploding from SCC initiated outside. Solution: 3 mm → 4 mm wall thickness, sacrificing strength to double SCC threshold and convert failure mode to leak-before-break. Used to introduce the America's Cup design philosophy: if your hardware doesn't fail, you've made it too heavy.

  • Naval Research Laboratory ratio analysis diagram (Liberty ships heritage) §6.p2

    Framing reference. Tom invokes the NRL diagram (developed out of Liberty ship failures, 1950s–60s) as the parent framework before pivoting to Ashby plots.

  • MIT Berylliosis cases §7.p6

    MIT Manhattan Project beryllium machining work (corner of Mass Ave) discovered berylliosis through machinist deaths in mid-to-late 1940s. Tom adds the contemporary anecdote of Professor Shu finding a 1946-era bottle of beryllium powder in Professor Grant's lab during a department cleanup. Used to explain beryllium's manufacturing cost (toxicity controls) and the 10% genetic predisposition figure.

  • Non-sparking copper-beryllium mining tools §7.p9

    Beryllium's principal non-aerospace structural application. Cu-2-3%Be precipitation-hardened to 180–200 ksi; high thermal conductivity prevents frictional sparking. Used as the closing reason to study beryllium beyond spacecraft. ## §8 — Calcium / radium

  • Portland cement as a structural material §8.p1

    Calcium counts as a structural material — used in larger quantity than iron, as Portland cement. Limestone → kiln → CaO → Ca(OH)₂ with water. Some Portland is calcium-magnesium from dolomite ore.

  • Radium cocktails (1920s) §8.p3

    Brief teaching aside in the periodic-table survey. Wealthy consumer drank a daily glass of radium and rapidly decalcified. Used as comic relief and as the "anti-structural material" punchline before Tom turns to magnesium proper. ## §9 — Magnesium

  • Magnesium supply, applications, and Dow Chemical cartel §9.p1

    Quantity overview (250,000 tons globally vs. 40 million for aluminum, 1 billion for steel). Half goes to Al alloying; rest to steel desulfurization, nodular iron, tantalum/Nb reduction, and sacrificial anodes in hot-water tanks. Tom closes with Joel Clark's first PhD student's thesis tracking magnesium and aluminum prices in lockstep 1946–1975, attributing it to a Dow Chemical illegal cartel.

  • Navy super-corroding magnesium composites (Port Hueneme) §9.p7

    Navy Port Hueneme diving school developed magnesium-graphite/SiC composites that corroded faster than they could be metallographically polished (Latanision's work). Navy weaponized the corrosion: (1) divers crack-open packets to generate H₂ for salvage lift balloons; (2) divers pierce packets in cold water for exothermic warmth.

  • Magnesium weld stress-corrosion cracking §9.p11

    Fusion-welded magnesium without stress relief will SCC from atmospheric humidity within two days. Reason most magnesium parts are castings (no residual stress) — auto wheels, dashboard structures.

  • Magnesium torched-car insurance fraud §9.p10

    Tom's vivid example of magnesium ignition temperature — NYC arson of junker cars with mag wheels. Magnesium burns at ~4000 °F once gasoline-ignited; used as a flare and fireworks material in powder form.

  • Blackhawk helicopter high-performance magnesium §9.p12

    Brief reference to a magazine article Tom has about Blackhawk magnesium use. Tied to US government's recurring multi-million-dollar low-cost-magnesium initiatives, foreshadowing the next lecture's Adam Powell guest talk. ## Figures referenced (not cases)

Layer 2 — cleanup edit
p1 00:02

Um, so I looked over those of you that had topics. There's still a few that haven't picked a topic. And I think I just talked to the two of you that I had some questions about your topics being a little broad. If you have some more questions about that, I'd be happy to sit down with you individually and kind of flesh things out.

p2 00:20

I will probably over the next couple of days put together a schedule, a tentative schedule of what days we're going to do it and who's going to present and things like that, and what day. And again, you're welcome to come to all of them. I'd like you to come to half, but I'm not going to require that you come to all six or seven days of presentations unless you want to. You're welcome to. You may find that they're more interesting than the lectures. I find they're more interesting than the lectures. I've heard the lectures before. Uh, yes.

p3 00:56

Uh, it's going to be towards the end of October, beginning of November, and it'll be spread out over a couple of weeks, okay. And I might try to pick different days, like some Tuesdays and some Mondays, because some people have scheduling things. Although we're, I think we solved most of the scheduling problems with the 8, 8:30, 9:30 slot. But in any case, so we were talking about aluminum. Any other questions? Okay.

p4 01:20

We were talking about aluminum and I just want to finish up a little bit with, give you some idea of the scale of aluminum production and compare it and contrast it with steel, which is forty times the scale in terms of amount of material made. But also I want to talk about some of the corrosion or fatigue problems. Anybody know what this is a picture of?

p5 01:47

Aloha Airlines, okay. This was twenty-five years ago now. Uh, it was a while ago, but this was, I think, a 737, and it was fl— basically flying on chartered, not chartered, but on scheduled flights between islands in Hawaii. And it never went, except for being flown out to Hawaii, it was always just doing these twenty-minute flights from island to island, okay. Uh, and so as a result it had like a hundred thousand cycles, or sixty thousand cycles, in about half the time of a regular aircraft, because its flights were an average of twenty minutes or thirty minutes as opposed to forty-five minutes or an hour, because the islands are so close together.

p6 02:35

It turns out the fuselage of an aircraft, a pressurized aircraft, is a pressure vessel. You've got higher pressure inside than you do outside. It might be eight tenths of an atmosphere, so it's like being in Denver at a higher altitude. But outside it might be four tenths of an atmosphere. I don't remember what it is at forty thousand fi— feet, but it's, there's a pressure differential. And so you actually have to build this thing as a pressure vessel, and every cycle there, we call GAG cycles, ground-air-ground, taking off and landing, you pressurize it and depressurize it. That's a fatigue cycle. So this thing had forty-some thousand cycles and finally it just let go at all the rivet holes and the whole top came off. Only one person died. There was a stewardess who was not sitting down and seat-belted in. The people who were sitting in a seat and had seat belts didn't get pulled out. She got pulled out and perished, but the thing landed. Yes?

p7 03:43

Okay, yeah. Yeah. This was, as I remember, this was around 60,000 cycles, but it was like 40,000 hours or something. It was a lot fewer hours. And this is what happens in corrosion or fatigue. The, uh, whoever's the leader is going to be the first one who fails. I'm going to give you another example, but this happens to be a fatigue failure. It was partly corrosion fatigue, as far as that goes.

p8 04:15

I was amazed until I started, stopped to think about it, there really is a keel beam down here. I always thought if you lost over half your pressure vessel the whole thing would just crack up, but in fact it's got this great big I-beam down here made out of aluminum. And so, you know, it was just sort of a pressure vessel canopy, if you will, so far as that goes. But so aluminum has, we have to worry about some of the, some, we have to worry about some of the, um, lifetime problems.

p9 04:47

Another example I have here is this washer, which it's got a gray edge which means it came from a Seahawk helicopter. [Tom holds up a washer and a steel nut.] This is a steel nut that goes on top of it. And the holes don't line up because it's designed — instead of having a cotter pin or something, you put the washer on and you put the nut on and you tighten it to the proper torque, and there's one more hole in one of these than in the other, and so there'll always be one that lines up and you put a screw through it to keep it in place rather than a lock nut or a lock wire or washer or something. And this essentially holds the tail rotor of a Blackhawk helicopter or a Seahawk helicopter. And like I say, one's an Army part, one's a Navy part. I don't have a lot of these, but in fact what had happened is, this particular alloy was 60-61, which I told you was the workhorse aluminum alloy yesterday.

p10 05:57

And it was supposed to be 6061-T6 heat treatment, which is solutionized and artificially aged. And it was supposed to be a 51, means they would take the bar and they'd stretch it one percent to relieve residual stresses. This is made from like a three inch bar and machined into a washer. And when they bought it from Alcoa or whomever, they would, when they make the bar they would heat treat it to the T6 condition. But in aluminum, because of the good thermal conductivity, the quenching process introduces residual stresses, and the 5-1 is a way to relieve residual stresses.

p11 06:48

Now this tensile relief of residual stresses by mechanical means is common in a lot of aluminum alloys. I mean they will take whole plates at the Davenport, Iowa world's largest rolling mill — is not for steel, it's for aluminum. And in Davenport, Iowa they have this kind of twelve foot wide, about, I've only been there once, but anyway, about twelve foot wide rolls with four foot diameter steel rolls to roll the world's largest steel plates. And what do we use the world's largest steel plates for? The world's largest aircraft wings, okay. All the aircraft wings, you know, for Boeing and, uh, not necessarily for Airbus, they may get theirs from somewhere else, but anyway, for Boeing, or when McDonnell Douglas was in business, they all came out of the Alcoa Davenport works.

p12 07:40

And there are residual stresses, and they will take these huge plates that are four inches thick, and that, I've been to the room where they have these big hydraulic expanders, and they just grab the plates, which might be thirty feet long or something, and they just pull them one to three percent in plastic strain to relieve the residual stresses from heat treatment. And that's because the residual stresses from heat treatment can lead to stress corrosion cracking, which is exactly what happened to the washer. Actually was on an Army helicopter, Sikorsky Blackhawk, but it cracked. They lost the tail rotor. It wouldn't spin because it no longer had the tension on it it's supposed to have holding it together, and it's just sort of freewheeling, and the helicopter starts spinning around and crashed and killed a bunch of soldiers in Arkansas.

p13 08:34

So anyway, they started looking around, saying, well, why did this happen? And it turns out, so of course he says, oh, we shouldn't have been using the T6 heat treatment, we should have been using the T-73 heat treatment. And T-73 is a heat treatment, this is aged for optimum strength, this is actually over-aged. You go past the peak strength and you get about ten percent lower strength. If you look at the tempering curves for aluminum, they'll kind of go like this. This is time versus temperature. And if you actually, this is optimum age, that's T6, and T73 is a temper that's just passed by about ten percent, but the toughness like doubles, okay. And the stress corrosion cracking resistance increases by about a factor of two on stress, which is like a factor of ten on life in terms of corrosion fatigue.

p14 09:34

So they had actually had this problem in a different helicopter, not the Blackhawk or the Seahawk — it's a Navy, or it's the Jayhawk if it's the air, for the Coast Guard, or I can't remember where the Air Force, it's all, they make the same helicopter, basically the same helicopter for all the different services, but they have their own name for it. There's also another form of the Blackhawk which is called the Presidential helicopter, and if you go down to Sikorsky, that where they make that version, is in a super secure area. It has all kinds of super-secret stuff on it, and communications gear and stuff.

p15 10:12

Well, it turns out the washer is exactly the same. And what had happened is, they investigate this failure that killed a few people in Arkansas, and they said, oh, this other helicopter group had seen this problem and they had switched from T6 to T73 to get rid, to double the strength of stress corrosion cracking in the aluminum alloy by going to the over-age condition. And so, of course he said, oh well, we better order some new washers of T-73 that won't stress corrosion crack, because they started looking and they found these things sitting on the shelf in Navy supply depots with cracks, explosion [stress-corrosion] cracks in them, never been put in service, just the residual stresses from the original manufacturer.

p16 11:02

We measured them — that's why it's got a little cut in it, but we put some strain gauges, actually we didn't take strain gauges, we just measured the distance between these flats before and after cutting, and then calculated, estimated the residual stresses is eight ksi. Turns out five ksi is a stress corrosion cracking, uh, limit. So this was, the residual stresses were enough to crack this thing on the shelf without ever putting it in service. The Navy saw it first. Why? Because the Navy is the corrosion leader in the military. They put everything they've got and surrounded by salt water, okay. And so the Navy will crack things first.

p17 11:42

Anyway, the Navy had seen some, the Blackhawk design team kind of went and found out from this other design team, oh yeah, we switched those over to T73. So they order 1500 of them, fifteen-month lead time. In the meantime, the helicopter goes down in Arkansas, okay. But unfortunately it wasn't the Presidential helicopter. Although it depends on whether you're a Democrat or Republican at the time, okay.

p18 12:09

Aluminum in general has very good corrosion resistance, as pure aluminum. That picture of the Aloha Airlines, the outside skin is a clad aluminum. They, for sixty, seventy years we've been making roll-bonded aluminum, where you take a heat-treatable aluminum plate, 2024 typically — in fact when I had those, that FAA manual, the old MIL Handbook 5, I opened it up, it was 2014 Alclad. They call it aluminum clad. It's aluminum-clad aluminum. And I'll tell you, explain what this is in a second.

p19 12:53

Um, and they've been using it for seventy years. They basically roll a pure aluminum, 1100 aluminum, and roll it into about one inch thick plate. They take an ingot of like 2014 or 2024 heat-treatable alloy. They roll-bond the one, that one inch thick pure aluminum on the surface of the heat-treatable aluminum. The pure aluminum has no copper, so it doesn't set up a little galvanic cells that can lead to corrosion between the aluminum and the copper precipitates. So the 1100 aluminum is fantastic in corrosion resistance. We use it for things like cookware in the kitchen, okay. Not much strength, but if all you're doing is lining the bottom of a pan to give it good thermal conductivity, and it's a stainless steel pan, you just want good thermal conductivity, but you want good corrosion resistance, you don't want it to pit and things like that, you use pure aluminum.

p20 13:46

Well, that's what they started doing with the skin of aircraft. Were very expensive, so they learned to roll bond a very thin layer. So if you had, end up rolling this big ingot that had clad surfaces of aluminum, you might roll it down to sixteenth of an inch thick, and it have one or two thousandths of pure aluminum on the surface — called Alclad aluminum, clad aluminum.

p21 14:14

A couple of years ago, a guy in Spokane, Washington whose father had invented, father and uncle had invented the process or the machinery for casting essentially all the aluminum in the world, developed a process to jointly cast one aluminum alloy next to another aluminum alloy. And so instead of roll bonding this, they could continue, they could cast continuously. And this would be the 1100 aluminum, this would be the alloy aluminum over here, etched a little different color, and this is actually a casting fusion line where they cast it in shape. And so they no longer had to roll bond and made clad type of aluminum sheet much cheaper. And that's kind of coming to the market and bringing aluminum into lots of things like kitchen appliances and other things where it didn't have as — kitchen appliances being like stoves and refrigerators and stuff, where it didn't have as big a market, because you can now have a corrosion-resistant surface with a high-strength core. Essentially it's a composite that they grew from the melt, so they reduced the price of this compot— aluminum composite dramatically, and that was about five or seven years ago that came on the market. Um, nope.

p22 15:47

It's a continuous casting process and they pour the molten aluminum in here, one alloy, and they pour the other aluminum in here. And it turns out for aluminum it works that the two of them just fuse together. This is actually a fairly broad fusion line, okay. Let it focus there a little bit. I mean, you can see it's a millimeter wide, and if you got it in there, you'd see a fair amount of mixing, okay. But they just cast together. And now it's the whole aluminum casting process, called direct chill. You start off with a water-cooled copper plate about the size of a desk, which is going to be the size of your ingot, and some water-cooled copper molds, and the bottom of that mold will withdraw, and you basically just pour aluminum, it freezes on the bottom and freezes on the soft, water-cooled sides. It's called DC casting, direct chill casting of aluminum. And you withdraw that thing and you make an ingot that's twenty, forty feet long by five or six feet wide by two feet high.

p23 16:51

But now you can make it with one or two clad layers, or actually you can have up to, well, they've done up to double layers of cladding. You may want to have a brazed alloy in there, okay. And it's not always you want corrosion resistance. Sometimes you want a brazed alloy. All the aluminum that goes into automotive radiators is a brazed. And so there's a tremendous volume of radiator sheet, so far as that goes.

p24 17:20

In any case, you've got to worry about some of the corrosion resistance of aluminum. Since one of you is interested in sailing, I brought one of my America's Cup projects. [Tom produces a fractured hydraulic cylinder.] I don't know if you can see it much anymore. It was always hard to see. Um, I never have etched it. Anyway, this is a fractured hydraulic cylinder from Amer— America's Cup, okay. The fracture origin is right here, but over time it's hard to see it unless I put it in a microscope. It's right there, okay.

p25 17:55

Um, but the America's Cup is sort of interesting. In most cases we don't want things to fail, and we don't want them to fail for a long period of time. The America's Cup doesn't last that long, and they say their philosophy — I've talked to one of the guys who used to be, graduate of mechanical engineering here at MIT, who makes components like this and he brought this to me once. He's down in Connecticut, has a company called Navtec, and they make high-end marine equipment, hydraulic cylinders and things like that. So that makes one-of-a-kind special purpose things for people like the America's Cup.

p26 18:35

Um, but stainless steel turnbuckles and aluminum cylinders. This is a 7,500 psi hydraulic system for raising and lowering the sails. And 7,500 psi, if you know anything about hydraulics, pretty high pressure, okay. The Blackhawk helicopter went to 3,000 psi hydraulics to save weight, but they didn't go anywhere close to 7,500. So they're not, the V-22 Osprey went to 3,000. Typical hydraulic might be 1,500 or 2,000 in most equipment. But when you get really weight-critical, they will go to, rather than steel hydraulic cylinders, they'll go to aluminum, and they'll make them so thin that they expect them to fail. In fact, what he told me is, if they don't fail, then you're not, you're making them too heavy, in the America's Cup trade, okay.

p27 19:31

You don't want them to fail, you want it to last as long as a race, but they don't care. I mean, they're spending a hundred million dollars on these, uh, vessels, and you know, you've got a multi-multi-billionaire who once had bragging rights at the yacht club, okay, that he, you know, funded the America's Cup, and so he doesn't care if it fails and he has to spend another five thousand dollars for a silly little hydraulic cylinder. But you do want them to fail safely, okay. And the problem was, these things were exploding when they failed. And it was a little stress corrosion fatigue crack starting from the outside. And he brought me this thing and wanted to know, what do we do about it?

p28 20:18

Well, it turns out, I think it was 7075-T6 — sure, I have my notes here from the letter he sent me originally. Yeah, with 7075, which is an aluminum-zinc alloy. So erase that and put in 7075. And it was stress corrosion cracking. They had gone to T6. I don't think they had the 5-1 heat treatment in there necessarily, the stretching. But in fact, uh, the solution to his problem was — it was only that, was like only an eighth of an inch thick — to go from three millimeters thick to four millimeters thick, to increase the wall a little bit. Because we're going to get less strength, but we could double our fracture toughness, or our corrosion, stress corrosion cracking threshold.

p29 21:13

And with that we made it into a leak-before-break. So when the crack went all the way through it would just spray out a little stream of oil and people get all oily, but they wouldn't get shrapnel going through them, okay. So you don't mind being as oily, because you got slickers on anyway. So, but you expect them to fail. And if they don't, if your hardware doesn't fail on a regular basis in the America's Cup, you've made it too heavy. A little different philosophy, okay. So actually one of the only industries I know where you design things so they're right on the edge of failure.

p30 21:56

But anyway, what else do I have on aluminum? Maybe, oh, maybe that's most of it. I guess to give you a feel for what we do in aluminum, it's the heat-treatable alloys with their copper and their magnesium and their zinc, that's what gives them their strength by precipitation hardening. But it also decreases the corrosion resistance, okay. I taught you about scandium on baseball bats to increase the, or decrease the grain size.

p31 22:26

When we look at trying to get both toughness and strength — and I'm going to put up here, this is the old ratio analysis diagram that I put up before, earlier in the semester. This is the one for steel, and this was developed out of the Liberty ships at the Naval Research Laboratory in the 50s and 60s. And it plots the toughness versus the tensile strength or yield strength of the material, and this is called the technological limit. At low strength steel you can get very high toughness. As you go to higher and higher yield strengths up to 300 ksi, your toughness goes down and your critical flaw size gets smaller and smaller. That's what these lines here, critical section thickness, is two and a half inches. So you can build a pressure vessel out of anywhere, a steel with properties anywhere along this line, and it could be two and a half inches thick and it would leak before it breaks. You don't want a brittle fracture where it shatters like glass and sends shrapnel all around in a pressure vessel or a submarine, which is also a externally pressurized pressure vessel. But you get down here to 300 ksi steels and your critical flaw size is a tenth of an inch, okay.

p32 23:49

It turns out you'd like to have a ratio of toughness to yield strength, uh, K squared over sigma, of two and a half is kind of the difference between your plastic deformation region and your plane strain region. If you want to be in the elastic plastic region, which is where we can usually afford to design structures, you've got to have a fracture toughness squared over stress of two and a half, okay. Well, it turns out, here's the, actually it's fracture toughness over yield strength, so this two and a half is kind of the ratio that we'd like to have. This is for aluminum. It has one-fifth of fracture toughness. It has about one-seventh the strength unless you go way out here, and it still has only one-third the strength. The critical flaw size, when you start getting into baseball bats or aluminum-lithium alloys, you've got critical flaw sizes, they're getting down to a tenth or two tenths of an inch, okay. Type of critical flaw size, critical depth of surface crack in inches, okay, depending on different ratios of these things.

p33 25:03

But without going through all that, so that's the ratio analysis diagram, and here's titanium, but I'm going to go back to the Ashby plot and just talk a little bit about structural materials in general. If this is the Ashby toughness versus strength, and for mechanical structural material, we're interested in toughness and strength as the two measures. Remember, strength is the force, toughness is the energy of fracture. If I have yield before fracture, it's going to deform before it shatters. If I have fracture before yield, I've got a brittle material that just shatters. It's going to be like a hand grenade and send shrapnel all around.

p34 25:45

If I'm looking at this K1c over sigma-f constant of two and a half, it has this slope. There's another criteria for safe design of K squared over sigma — we won't worry about that one right now. But if here are the K1's — oh actually, we won't worry about it — K1c squared over sigma of pi sigma squared, okay. So this is the K1c over sigma. And that's actually that is kind of the dimensionless number for the fundamental equation of fracture mechanics. But this two and a half, this little log scale on these dashed lines down here, this two and a half, I put a blue line in here. So this is the material elastic plastic, we'd like to design. This is brittle material. We got to be careful when we start using these types of materials on that side of the diagram.

p35 26:38

Well, let's look and see what we've got. Steel's overlap. Nickel out, overlap, actually nickel is mostly on that side. Titanium overlaps. All of your composites — graphite reinforced, carbon fiber reinforced, Kevlar reinforced. Aluminum alloys overlap, copper alloys, magnesium out once, overlapping, okay. That's of the metals. If we look at woods, this is parallel with the grain — that's how we usually use a two-by-four. Perpendicular to the grain, it's a brittle material. You would never put wood in that direction, okay, if you're trying to do a structural material. So wood is actually an anisotropic composite material.

p36 27:31

This two and a half line splits right — here are your ceramics, you know, rocks, pottery, most of your ceramics over here. Even your high-performance ceramics and glasses are down here. So if we really look at structural materials, it's on this side of the line that we're usually working, okay. But we still have to be careful, because this blue line cuts through most of these things, most of these materials. Well, this alloy's great and this alloy's lousy, and it's the same base system. Yes, is that the question? No? Okay, sorry. No, you can twirl your pen, uh, okay, um, I just didn't know if you're raising your hand.

p37 28:16

In any case, I'm trying to bring it back to why we spent so much time talking about certain types of materials. So I'm pretty much done with aluminum, and I was going to go into magnesium, which I probably will. Remember tomorrow we've got a guest lecturer, Adam Powell, will be coming to talk about the company that he and Professor Paul — both of them used to be faculty members in this department in chemical metallurgy.

p38 28:52

But anyway, periodic table. I will finish up on Friday. We have gone through — cross out iron, we've sort of done aluminum, we're going to do magnesium in a little bit. Uh, but as structural materials, we have not gotten very far, right, according to the periodic table. However, you can sort of cross out everything. Among the alkali earths, hydrogen is not much of a structural material unless you're down at less than twenty degrees Kelvin. Uh, lithium, these things are all too soft. I mean, you may not want to push on them with your finger because they will react with the moisture in your skin and cause sodium hydroxide and cause a burn, okay. But they're very soft materials, inherently soft.

p39 29:38

Francium, we can't even isolate it. The only time we've ever discovered it is we can see it in the spectra of some, as an impurity in some other things. So it's sort of almost a non-existent material on Earth. It does exist on Earth, but only as an impurity in other things. We don't, there's, you can't go buy a lump of francium, okay. Cesium, well, we'd use cesium for a few functional material things. Rubidium, shoot, we put that, it concentrates in tobacco stocks, and they use tobacco stocks to make welding electrodes because they like the rubidium. Anything here is an easy electron donor, so we like to put sodium and potassium and rubidium and lithium into welding electrodes fluxes, okay. But they're not structural materials.

p40 30:27

And this column, well, beryllium is a structural material. So let's talk about beryllium real quick. Um, what's, if you look at, if you went back to Ashby's book and look at the price of beryllium, I haven't gone to look at it, but it's probably several hundred thousand dollars a ton. First of all, you get a lot of it per ton. It's very light element. If you ever picked up a piece of beryllium, which I'm sure most of you haven't, it's like picking up a piece of paper, it's so light, okay. It has a very high melting point. I can't, well, actually it should be on here. Melting point of beryllium is 16— it's 1560 centigrade. So it melts at a higher temperature than steel.

p41 31:18

It's used for, at $400,000 a ton or whatever it costs, spacecraft. That's the only structural application, but it's used all the time in spacecraft because it is so light. And it's a very rigid material, it's relatively rigid. It has a fantastic strength-to-density, a specific, uh, density or specific strength ratio. It's just way off the chart if you looked at one of these Ashby charts. But it's very expensive. Why is it expensive? Anybody know what the problem with beryllium is? Toxic. If you get any beryllium, pure beryllium powder, any compound, in your lungs, and you were part of ten percent of the population that has a genetic predisposition to berylliosis, you will get nodules forming in your lungs that just start consuming your lungs, and you slowly die of suffocation. But the ninety percent of people, it's not a problem.

p42 32:15

This was discovered right up here on the corner of Mass Ave, okay. Not where we have Building 35, but just on the corner of the other side of the railroad tracks. I believe that's where it is. It could have been on this side of the railroad tracks where the little bank kiosk is in the parking lot. But MIT, during the Manhattan Project in World War II, was working on beryllium for some nuclear warheads. It was sort of a new material. And there's some faculty members here working on the metallurgy of beryllium, and they had a little machine shop over there and they were machining beryllium parts. And towards the end of World War II, beginning of just after the war, when they were working on nuclear materials, all of a sudden a few of the machinists started dying of this lung disease, and they tracked it down and found out it was berylliosis, which had never been discovered before because it was a new material.

p43 33:09

But they showed, through whatever, contaminating rats — it wasn't until years later I learned that, or they learned, and then I had to learn, that there's apparently a genetic predisposition. I think one of the students in my, in the class did a little presentation on berylliosis once, and that may have been where I found out it was only ten percent of the population get it. But people are just deathly afraid of using beryllium. I remember I was cleaning out an old lab, Professor Grant's lab, where I had someone else cleaning out when I was department head, it's right around the corner from headquarters. And young Professor, actually Professor Shu's, professor at Northwestern, but he was a young professor here. He came in, he was in a fit because he found a bottle of beryllium powder. And I went and I said, David, it had been sitting there since 1946 or whatever. Uh, I said, it's got a cap on it. He says it's dusty. I said, yeah, but that's dust from the air. I mean, it's had the cap on it for twenty years. This has been a lot. Anyway, so, you know, I went and picked it up, you know, it's in the jar. I'm not going to dust it and throw it in the air and find out if I've got that genetic predisposition.

p44 34:23

But people are deathly afraid of beryllium. Um, I mean it's sort of beyond what they ought to be afraid of. It has to be in a powder form, can be beryllium chloride, beryllium oxide, beryllium metal, gets inside your lungs and you're part of that ten percent of the population, you've got serious problems. So it's toxic, but it's also expensive to manufacture, in part because it's toxic, so they have to have all these controls so the people manufacturing don't get berylliosis. That's one of the reasons it's expensive.

p45 34:55

But it has one application which I keep on thinking how to buy one of these tools and bring in. It's called non-sparking tools. You can take copper alloys and you can give them 180 or 200 ksi strength by a precipitation heat treatment by copper beryllium. So you can make a copper, two or three percent beryllium alloy, heat-treat it, and end up with a copper alloy that's as strong as some of your strongest steels, okay. And they use it in mines for non-sparking equipment. If you're in a mine, you've seen steel shovels or other tools get a spark when you hit them, right? It's not a good thing in a mine full of methane, okay. You could have a ka-boom, okay.

p46 35:40

So in mines they actually use high thermal conductivity tools — which copper is a high thermal conductivity material, and you make beryllium copper, you get a hard tool that's non-sparking. You can go with titanium, really copper-beryllium alloy hammers, and you can bang them against a copper-beryllium nail or, you know, uh, pick or something, and it won't spark. You can do it all day long. There's just enough heat transfer that when the frictional heating goes in there, it carries the heat away faster than the ability to generate temperatures sufficient to cause sparking. That's not true in steel. And you'd love to do it in aluminum because it'd be cheaper than copper beryllium. But aluminum just, it's got good thermal conductivity, but you can't get 200 ksi strength in aluminum.

p47 36:39

In any case, so that's beryllium. We just covered beryllium, okay, check that one off. So let's go down the periodic table here, but I'm going to skip magnesium for just a second. Calcium — we've actually talked about that. How do we talk about it? It's used in larger quantities than steel. It's called Portland cement, okay. I gave you the formula. You take calcium carbonate, called limestone — all these little, sea critters gave their lives and deposited themselves at the bottom of the ocean over millions of years, and earthquakes and stuff brought them to the top, and we go mine it, turn it into powders, spread it on our lawns to get rid of the acid rain. But we also can take it, put it in a kiln and drive off at a thousand degrees centigrade the CO2 and end up with calcium oxide, also known as burnt lime, okay. And then you take that, you mix it with water and you get calcium hydroxide.

p48 37:42

Now it's not always calcium, pure calcium limestone. Some of those little critters had magnesium in them. It might be, I think dolomite is fifty percent calcium with fifty percent magnesium carbonate. And so some of your Portland cement is a calcium-magnesium alloy. But we actually do use calcium as a structural material, and it's called Portland cement. It's used in a larger quantity than iron, so we've covered that, okay.

p49 38:13

Magnesium — well, let me finish up these. Strontium and barium start to get very soft. Radium is actually, some of that forms is radium's radioactive in it. Some of it's got a fair number of radioactive species. Yeah, they also used to drink it back in the 1920s. Have you ever heard about that? Uh, when radioactivity was sort of new, people thought they'd make these radium cocktails and they thought that by drinking it, it would make them feel better, sort of like five-hour energy, okay. But it was very expensive. And then people found, the longer they drank it, they started having other effects, and they decided maybe — it was expensive, but there's one guy who was very wealthy, and he, to his dying day, would drink a glass of radium every day. And it turns out his dying day didn't take too many months, because his bones started decalcifying and he started turning into just sort of like an amoeba and stuff, you know, no structure. So maybe we call this an anti-structural material. But anyway, this is in the 1920s, so these things don't really count.

p50 39:27

But magnesium, okay, magnesium does count for something, okay. Let's talk about magnesium a little bit. Magnesium, let's talk about the quantities of magnesium that are used in the world. So here's shipments of magnesium from '83 to '88. It doesn't really matter too much, they didn't change dramatically. The 28,000 tons, metric tons, was used for die castings, gravity, and then 37,000 tons for gravity and wrought products. Wrought — I mean only seven thousand of the thirty-seven thousand is wrought products. Wrought meaning sheet or wrought or something. Someone was talking to someone, they wanted to use magnesium, or they wanted to deform magnesium, and I said it's not easy. Well, this is an example. It's not easy. To heat it up, you have to do it warm. It's a hexagonal close-packed metal. Can be made into sheet, but you have to really know what you're doing, okay.

p51 40:36

Mostly we use this, that's structural, non-structural. Magnesium is used to make the 6000 series or 7000 series aluminum alloys. In fact, about half of all the magnesium made goes into alloying for aluminum, okay. Desulfurization, that goes into steel, to get the sulfur out, okay, and just form manganese sulfide. Nodular iron — you can make cast iron and you can change the graphite morphology and call it ductile iron. So that's actually a growing market segment. You can see it growing fairly dramatically up until '80, well even beyond '87.

p52 41:20

Metal reduction — we want to, magnesium so reactive, you can make magnesium metal and then you can react it with some chloride or fluoride of something else, like tantalum chloride, you could make tantalum metal, okay, out of magnesium metal and tantalum chloride. And they in fact do that. All your tantalum capacitive, capacitors are made by magnesium reduction of tantalum chloride or tantalum fluoride. So metal reduction, chemical uses of magnesium.

p53 41:54

Electrochemicals — if you own a hot water heater, or your parents own a hot water heater, it has probably has a magnesium anode, okay, going down the center of it, a sacrificial electrochemical anode. That will corrode just like zinc on galvanized steel becomes the anode that corrodes and cathodically protects the steel in a hot water tank. To correct, to protect the copper, the brass, the steel, anything you've got that the water is coming in contact with in the hot water tank, use magnesium as a sacrificial anode. Yes? They use aluminum, yeah.

p54 42:38

Magnesium is better. The problem with aluminum, if you have certain ions in your water, the aluminum can form a passive scale on the surface, and all of a sudden the aluminum becomes non-anodic, becomes cathodic. Aluminum is sometimes called amphim—, amphoteric, which means it can switch its polarity in the galvanic series. So aluminum, in proper conditioned waters, is fine as an anode material, but magnesium is better, because if you look at the galvanic series, all the way over here, the most reactive is magnesium, and all the way over here the least reactive is graphite. And it's like an extra half volt you get out of magnesium compared to zinc. I mean, magnesium has really got, it's really the most electroactive of our common, you know, sacrificial anodes.

p55 43:36

And one structural, actually two structural applications. The US Navy out in Port Hueneme, California, where they have a diving school, they developed about thirty or forty years ago — people were interested, I mentioned these aluminum silicon carbide composites. People around 1980 were, or 70s and 80s, were very interested in these ceramic-metal composites. And so the Navy was trying to make lightweight magnesium composites that had silicon carbide or graphite or whatever in them. And I remember Professor Latanision, who worked on corrosion here, he was working on some of these things, and he found that if he tried to polish them to make a metallographic sample, they would corrode faster than he could polish. So they had to polish them in an oil rather than a water system, because you got graphite and you got magnesium, and those are the two far ends on the galvanic series. It would corrode so fast.

p56 44:30

But the Navy said, ah, it corrodes fast, we will use that property of rapid corrosion of this composite. And they found two uses. One was, you could take this alloy, this composite, and in a plastic bag, down the divers could take it down, and when they're doing salvage operations, one of the things you sometimes do is build a great big balloon and then fill it with gas to lift the salvage to the surface. Just a great big bubble. Well, they didn't have to pump gas down, you know, a couple hundred feet. They could just break open this thing and it would corrode and generate hydrogen gas. You just had to be careful when it got to the surface that you somehow attached it before and dissipated the hydrogen before you blew it up. But anyway, it was, they used it as a salvage material. The other thing, it would corrode so fast that when divers were diving in cold water, they could strap it in these plastic things, and if they got cold they could just pierce the plastic and it would corrode and generate enough heat to keep them warm, okay.

p57 45:36

So, okay, but you have to understand one of the Achilles heels of — they only made 200,000 tons in 1983, they were making 250,000 tons in 1988, a quarter million tons. Well, aluminum's like forty million tons, right? And steel's a billion tons, okay. So yes, magnesium is one of our structural materials. It has several Achilles heels. One is the fact that it corrodes. It's a great corroding material. Actually the Navy called these super-corroding alloys, okay. Um, but it has other problems.

p58 46:16

In addition to corrosion, one problem is that it will burn if you get to certain temperatures. And if you want to see this, you go to New York City, you go to one of the poor areas of town where they torch cars on this part on the sidewalk to get the insurance money, okay. Your car's a junker but it's got mag wheels, okay. Uh, so you torch it. And the magnesium, you know, throw some gasoline on a car and on some magnesium, and the fire will get hot enough, magnesium will ignite, and you get a really hot fire. At that point burns at about 4000 degrees. Magnesium is used in flares, it's used in fireworks in powdered form, and gives bright white lights, okay. So it burns, because it's so reactive.

p59 47:06

It also, you develop residual stresses, so you try to weld it, and the humidity in the air will almost crack it right behind the weld. I mean, not quite that fast, but you come back two days later after having fusion welded magnesium alloys, if you haven't stress-relieved it, just the humidity in the air will cause stress corrosion cracking, okay. So that's why most things are castings, because castings don't have residual stresses. And most of the magnesium that goes on automobiles used to be in the wheels, and they would just paint those for corrosion resistance. But now it's kind of going underneath the dashboard in places like that, very specialized applications.

p60 47:48

It does come into play in some things like the Blackhawk helicopter. I mean, here's an old article about the Blackhawk helicopter and the use of high-performance magnesium. The US government is constantly spending tens of millions of dollars every year to try to develop a magnesium, low-cost magnesium market, because they say, oh, we can build lightweight automobiles. Well, you can't roll sheet very easily, and they sort of make automobiles out of sheet. You can make castings, but I have yet to figure out why they do all this. Uh, tomorrow when Adam Powell comes in, he will tell you that one of the first things they did was, with his technology, was to make magnesium because they could get several million dollars from the US government to make low-cost magnesium.

p61 48:38

Cost about twice as much as aluminum. In terms of energy costs, it really shouldn't cost any more. There's a guy, Joel Clark's first doctoral student here in the mid-70s, did a thesis on the magnesium business and the cost of magnesium. And he didn't say it as directly in his thesis because he could have been sued, probably, but his basic conclusion was that after World War II, Dow Chemical, which has sort of a monopoly on magnesium production — of this 250,000 tons, they may make 200,000 tons, they got a near monopoly on this stuff — they, according to Dr. Kenney, it appears that you can track the price from 1946 all the way up to 1975, and the magnesium and aluminum prices tracked perfectly with one another. And you can do statistics and correlation coefficients. There is no economic reason for that to be true other than an illegal cartel. Okay, but Americans don't do that, okay. So obviously it's not true, right.