§1. Wrapping up composites: the marriage of materials [00:05]
We were talking about composites and I just wanted to wrap up a little bit. We use huge amounts of structural composites — concrete for buildings, asphalt for roads — but most of the work done on composites is on aerospace composites, because there are certain things that just can't be built without the lightweight advantages of aerospace composites. I put up the V-22 Osprey before; that aircraft could never have flown if it weren't for high-performance composites.
Concrete and asphalt are not exactly high-performance composites, although there are still people who do research — actually quite a bit of research now over in civil engineering on improved concrete, because there's so much concrete used and so inexpensive, and they'd like to perfect it, particularly in tensile strength. A lot of work is done on asphalt particularly in colder climates, because the asphalt expands and contracts. In Alaska you get much above Fairbanks and they don't even bother to pave the roads, because you'd have to rebuild the road every spring. The winters are so severe it would contract and crack.
I was at University of Alaska in Fairbanks ten or fifteen years ago and they had a big program for the southern half of Alaska to get better asphalts, because they spend a tremendous amount of money repairing those roads — not because of a deficiency in the material, but there just is no material that survives the severe winters. That's why you can watch Ice Road Truckers — go north of a certain level and they just use ice for the road.
Composites are fundamentally the marriage of several materials to get, what the composites people tell you, the benefits of both. The other side of that is to get the detriments of both, which they don't usually talk to you about. Thirty-five years ago, someone up in Canada developed a technique to mix silicon carbide in with aluminum and cast it. So you had a very inexpensive way of making aluminum silicon carbide composites. I can't remember the name of the company, but in the late seventies, early eighties, they were getting press all over the place. There was lots of interest in their material because they were good public relations people.
I sort of modeled this particular graph on that material. This graph comes out of probably the mid-eighties. The problem is, looking at the metal specifically — in this case I'm thinking of aluminum — for any material, if you're going to select it there's not just one parameter, there's a number of parameters that might be important, and depending on the application those parameters vary. Strength is always an important property in structural materials. Toughness is an important property. Aluminum is just not a very strong material compared to a lot of other things like the ceramics or steels, so it would be great to improve its strength. Aluminum has excellent formability, excellent joinability if it's not too highly alloyed, pretty good corrosion resistance in general, it's reasonably affordable, and it's lightweight.
The circle here is supposed to represent how much of a property you need. If you're beyond the circle, you've got enough of the property. Aluminum just doesn't have enough strength for many applications, and so people thought, well, you just marry that with the ceramic. A ceramic has tremendous strength, and ceramics — bricks and mortar, aluminum oxide — have reasonable affordability. The ceramics people like to tell you they have fantastic corrosion resistance, and in many applications they do — certainly atmospheric or aqueous corrosion, ceramics are excellent. They've got lousy formability — you ever try to whack a piece of ceramic with a hammer, you end up with lots of pieces of ceramic. Joinability is a problem. Toughness is a problem. But you could marry it with the metal which has deficient strength, and hopefully you'll get an improved product that has the advantages of both.
But in fact if you look at what you get with the composite — these aluminum silicon carbide composites for example — yeah, you can get the strength you need as you add the hard silicon carbide particles to the aluminum, but your toughness is lousy, your formability is lousy, your joinability is lousy, your corrosion resistance turns out is lousy, and your affordability bites the dust. So if you put everything together on one plot it kind of looks like this. You started out with one material with high strength, one material with low strength; you marry the two and you get a composite that is beyond what you need for strength, beyond the circle, but you lose everything in these other areas.
So composites can be used as a marriage of materials to get the advantages you must have, but you're going to pay a price — cost price, and property price. Virtually every composite has paid a big price in recyclability, formability, sometimes corrosion resistance. Composites have very specialized niche applications. Concrete and asphalt have the largest application and huge volumes, but they're still sort of niche. What else do you build out of asphalt rather than roads? Concrete can be used in a lot of things and it's fairly inventive. If you've seen artisans in concrete, there are some people who do buildings that look like fancy stonework and it's fantastic. I've always been surprised they didn't do more of that. But the point is composites enhance a few of the properties while degrading others, and you've got to be aware of that. You can't just buy one thing.
Student: [question about concrete in tension, inaudible]
Essentially you give concrete zero strength in tension. It actually has two or three ksi strength in tension, but in compression it's got like 60 ksi strength. So if you're loading a beam, the bottom's in tension but the top's in compression. Concrete's great there. When they calculate the strength of that concrete beam, they treat it as only steel on the bottom — the cross-sectional area of that rebar. The rebar doesn't have to be welded, you can overlap it. [Tom produces a piece of galvanized rebar and passes it around.] They rolled on these notches to give it mechanical interlock into the concrete. You can overlap it, and as long as you have enough overlap it's as if it was joined, in terms of the tensile strength. In the design they give it zero strength in tension, but that's a little unfair.
§2. Fiberglass and the cost of composites [09:07]
Composites people will talk about composites being inexpensive. Don't believe that. Composites inherently require more processing steps. That was one of the reasons the aluminum and silicon carbide was so exciting — you could make it with casting technology, so it wasn't going to be much more expensive. But most of the time you have to make material A, you have to make material B, and then you have to join them together.
There are some intermediate composites that have been used widely. The one I'm thinking of, rather than playing the quiz game, is fiberglass. We've been using it for sixty, seventy years, ever since plastics really started to become popular in the 1950s. After World War Two plastics started coming into their own, and people found, oh, you can take glass which can be extremely strong. People don't realize how strong glass fibers can be. Freshly made glass, in terms of strength not toughness, is stronger than steel. It's just like piano wire, it's super strong. And if you coat the surface so it doesn't get attacked by the moisture in the air, the glass will retain much of its strength. If you have lots of fibers you have the redundancy and you can get a very good structure.
When I talk about glass being strong when it's freshly made: glass has no imperfections on the surface if it's made properly. And it's the imperfections on the surface of a brittle material that weaken it. My old thesis advisor used to teach 3.091, and he still lives up on the North Shore. They had a Sylvania lightbulb plant up there in Danvers, and he used to stop in the morning before his lecture and get freshly made lightbulbs — fresh-blown glass — and bring them in for his 10 o'clock lecture. He could throw them across the room and they would bounce, because they were freshly made. The glass had not been attacked by the humidity in the air. After a few days you throw it across the room and it'll shatter just like any lightbulb you know of. But freshly made glass, before it starts to get etched by the moisture in the air — it actually does on a microscopic scale, but it's so brittle these submicron imperfections destroy its strength.
Fiberglass people realized you can have tremendous strength, and you marry a protective adhesive coating — basically the plastic — with the fiberglass, and you end up making boats that don't corrode. What were the first fiberglass automobiles? The Corvette. Anybody can make a fiberglass $50,000 car; you can't make a $20,000 car out of fiberglass. In the 1990s we tried to start making truck beds out of plastics, or plastic resin molds and composites, and it turns out people love them. Joel Clark was working with Ford, I think, and they made some of these truck beds for pickup trucks. They gave them to a mine site to get a lot of wear on them, along with some steel truck beds. They were supposed to put them in service for six months and send them back so they could evaluate them at the research center. The coal companies didn't want to give back the resin mold composite beds, because they didn't crack — they were resilient. The steel dented and you couldn't close the tailgate, if you're dumping things into a pickup truck and abusing it like they do in a coal mine. Now what they do is they give you liners; it's still steel on the outside, and the reason is the plastic is still just more expensive.
This is something I put together years ago for high-volume structural materials. We look at both cost and fracture resistance. We quickly find that for constant volume, the approximate cost per pound — steels back then was about 20 cents, about 40 cents now. Aluminum is a buck twenty. Simple composites like this truck bed were two to ten dollars a pound. Now you get five times the volume with that, so it's down to 40 cents to $2 on a volume basis, but it's still more expensive. And plastic, just simple plastics not composite plastics, are still more expensive — even wood is more expensive than steel. Aluminum has a two-and-a-half-fold advantage in density, so doing this on a cost-per-pound basis is not necessarily the fairest way to do it. There are all kinds of metrics you can use to figure out what is best. That's about all I'm going to say about composites right now.
§3. Steel: scale, productivity, and the technologically advanced material [15:04]
I want to talk now about specific materials and their advantages and disadvantages. The first material I'm going to talk about is steel, because it's in such high volumes. It's made everywhere. There are literally hundreds of very large steel companies around the world, and I told you whole countries will invest in building their steel mill, because the big integrated steel mills are too expensive for a single company to build.
Let's take aluminum, the second most widely used metal. On a weight basis there's forty times less aluminum made than steel. Aluminum is a little over two percent of all metals; steel's over ninety percent. On a weight basis aluminum's forty times less; on a volume basis it's fifteen or twenty times less. Aluminum's been around technologically almost as long as steel, but steel has this unique combination of strength, toughness, and cost.
There are hundreds of steel companies. How many aluminum companies can you think of? You can think of one — Alcoa. There are other aluminum companies. You've heard of Kaiser Aluminum, maybe — if you're from the West Coast you would have heard of Kaiser Aluminum. You've heard of Reynolds Aluminum. You might know how Reynolds Aluminum got started: it's the same Reynolds as Reynolds Tobacco. They needed something to wrap their tobacco in, so they started making a little foil around 1900 and they grew the aluminum business separate of the tobacco. It's the same R.J. Reynolds family out of Richmond, and that's the headquarters of Reynolds. There's Alcan, a little company of Canada, which is actually a spinoff — trust busters broke up Alcoa. I told you how Alcoa, Boeing, and Pratt & Whitney were all once together, and at some point they broke them up, and they also broke off the Aluminum Company of Canada, Alcan. Alcoa just had a monopoly. Charles Martin Hall was the founder of Alcoa, but Paul Héroult in France had also discovered the same thing and just got to the patent office a little bit too late. Hall beat him. Héroult's company was Pechiney in France, and Pechiney was just bought by somebody else. You can't even name very many aluminum companies. I can't name more than a dozen, and I've been in this business longer than you've been alive. But I could rattle off the names of dozens of steel companies.
To a certain extent steel companies have been consolidating into some huge conglomerates, mostly because their profitability was so bad. Why was their profitability bad for the last thirty years? Because their productivity was so good. They had improved their productivity so dramatically that they almost drove themselves out of business competing with each other. Wall Street, those people over at that side of campus, can't figure these things out. Steel wasn't an ancient material that was no longer useful — they thought they were just an unprofitable backward industry. Maybe some of their management was backwards, but it's still an important material. And there was this guy [Mittal] in India who just started buying up steel companies for a song, and now ArcelorMittal is probably the second largest steel company in the world, and he's making billions. Actually starting to lose some billions right now.
What is the most technologically advanced material you can think of? Most people would think silicon. We know a lot about silicon — it's fundamentally semiconductors. What's the size of the silicon industry that makes computer chips, the Intels of the world or Advanced Micro Devices out of Boise, Idaho? Tens of billions — Intel's about 30 billion last time I looked. It turns out about 200 billion total. Intel is a significant fraction of all the world's semiconductors, and I'm talking about the chips, the silicon. The foundry business to grow single-crystal silicon might be 10 billion dollars, but the actual chips when they add all that functionality to the single-crystal silicon, it's a couple hundred billion. Whereas the steel industry tends to be about a trillion-dollar industry worldwide, and the aluminum industry tends to be about a hundred to two hundred billion dollar industry. So the aluminum industry and the silicon industry are similar in size. If you go and look at the course offerings at MIT, you would think that silicon is the wonderful wonder material. This is the silicon age, and it is a wonder material in many ways, but in fact the most technologically advanced material in terms of how much we know scientifically about it is steel.
I've only said that to a few people a few times. I've had some faculty challenge me on that, and then I start pointing out some things. We know a tremendous amount just because of the size of the industry. There are all kinds of people around the world doing research on it because of this economics and importance. It has not seen tremendous growth in properties, whereas when you look at silicon you can say the number of transistors on a chip is doubling every two years according to Moore's Law, and that's true, and the performance of the semiconductor is much greater. People say, oh but silicon, it may only be two hundred billion dollars to sell the chips, but it goes into all kinds of products that are worth a lot more than that. And I said, yeah, but did you know steel goes into products like buildings and bridges and automobiles that are worth a lot more? About twenty-five percent of the world's GDP relates to structural materials — bridges, buildings, aircraft — and steel's a large fraction of that.
§4. The Achilles heel: corrosion and the forms of attack [22:22]
Why does steel have some of these advantages? Strength, toughness, cost — but also the ability to form it. It's very easy to form steel and stamp it out, you can bend big heavy sections, you can join it easily. One of the advantages — Christine's thing about wanting two swords — is you can form it when it's soft and you can transform it to being hard. That's also an advantage with aluminum. Steel's about thirty, thirty-five ksi basic strength, and you can harden it to almost ten times that in certain conditions. Aluminum is about eight ksi, and you can get even better than ten times — about twelve times the strength. Your homework problem for Monday is to think about what is the highest-strength application for aluminum alloys, and I'll bet none of you get it. You're going to guess aircraft and missiles or spacecraft — it's not. You can find it on the web, but you'd have to know where to look. Dr. Bell [Ballinger] Martin tells me he gave it away earlier this semester.
What is the Achilles heel of steel? Corrosion, rust. Why do they galvanize that rebar? Why, when you're driving around New England in the summer, are they always tearing up the bridges on the highways? Because the rebar in the concrete rusted. The rust expands, causes the concrete to fall, and you end up with potholes on your highways. If someone hits them at 70 miles an hour they'll have a wreck. So they have to go in about every twenty years and rebuild the bridge deck to replace the rebar. People have tried plastic-coating the rebar, going to stainless steel rebar, they've even gone to nickel-base rebar — you couldn't afford to build all the bridges, there's not enough nickel in the world to do that. People have tried all kinds of things to fight that form of corrosion. The corrosion scientists estimate that in the United States we lose about 200 billion dollars a year in corrosion. And guess what — probably 80, 90 percent of that is steel, because 90 percent of all the metal made is steel.
So the Achilles heel is corrosion, and I have a handout for you on the eight forms of corrosion. There are actually two different eight forms of corrosion. One comes out of a book, the third edition, Fontana and Greene — Ohio State has a big corrosion research center going all the way back to the 1930s. Professor Lou Tennyson, who used to be Professor Ballinger's thesis advisor, came out of Penn State and Ohio State studying corrosion. Fontana and Greene's index talks about the eight forms of corrosion, except their eight forms are different than this eight forms.
This is mechanics of attack, and the eight forms that Fontana and Greene break corrosion into are sort of the chemistry of attack. So they're a little different. There's uniform attack — in the area of steel we call that rust. We have localized attack, which can be pitting or gouges with crevice corrosion. We have erosion, cavitation where you have bubbles collapse and great pressures that break off the protective surface oxide. One of the problems is that most steel does not have a protective surface oxide. Now there is a lot of steel that does. [Tom produces a piece of black iron pipe.] Here's black iron pipe — if you go around the basement of most buildings or a boiler room you'll see this stuff, it's unpainted. Black iron pipe, when it's hot coming off the rolling mill, will form at high temperatures Fe3O4, which is called magnetite, a magnetic form of iron.
Rust, which forms at lower temperatures in the air with the moisture around, is Fe2O3 dot a bunch of H2Os — that's hematite. There's also wüstite at higher temperatures. Magnetite has a volume ratio and coefficient of thermal expansion such that when it forms on steel, it will adhere. Rust on the other hand, when it forms, can have a four to ten times volume change depending on how many H2Os are in it and how much chlorine might be around, and it will flake off. Typical atmospheric corrosion rate of steel is about four thousandths of an inch per year. So in forty years you lose an eighth of an inch from both surfaces. If it's a big heavy steel beam — why are they going to rebuild the Longfellow Bridge? It's rusty, but it's been there for a hundred years.
They started out with big heavy sections, and even if it lost an eighth of an inch in forty years, the growth usually goes as the square root of time, so in eighty years it only loses a quarter of an inch. But after a hundred years, the Longfellow Bridge has gotten rusty in enough spots — if you've walked across it, the handrails where the snow sits — let's face it, snow in New England is acid rain, it's just frozen acid rain. When it melts, it's pH 5.5, and it will start eating away that steel. The guardrails to keep you from falling into the Charles are all rusted away, perforated, after a hundred years. Some of them are cast iron, and cast iron has a lot of silicon, and it forms a glassy silicon layer, so it grows less. Cast iron grows less.
§5. Hydrogen embrittlement and delayed cracking [29:48]
There are these eight forms of corrosion — I do a short corrosion course for the Navy folks, of about six or seven lectures. One form that does occur to steel is stress corrosion cracking. Steel will form cracks in certain environments even if it doesn't rust. Stress corrosion cracking is most common with the stainless steels, and we'll talk about that maybe on Monday. But the form of stress corrosion cracking that's most harmful to the steels is hydrogen embrittlement, and Dr. Ballinger talked about that. The steel has been around, exposed to the atmosphere, and iron and oxygen form Fe2O3, releasing hydrogen when it reacts with the water. If the hydrogen diffuses into the steel under certain conditions — or if it's there from the steel manufacturing — and you put it under tension, it will cause what we call delayed cracking.
They call it a static fatigue test. Take a bar of steel with hydrogen in it, or charge it with hydrogen while it's under tension. If it's got hydrogen in it and you're at more than maybe 40% of the yield strength in tension, the hydrogen will diffuse to little imperfections like inclusions in the steel. The hydrogen likes to go to the larger crystal lattice, which is the part that's in tension. If you have an imperfection around an inclusion and the inclusion is in tension, in your volumetric strain field there's more space on the sides, and the hydrogen will go there. It will weaken the steel, and you just hold it under constant stress — not fatigue, just constant stress — and in somewhere between 48 and 72 hours it will crack, it will separate.
They're welding nuclear submarines down in Groton, Connecticut, and if they don't control the hydrogen while they're welding these big egg-crate type of constructions to make a high-strength pressure vessel, guys will be welding during the day and the guys at night who are welding will hear a bang like a rifle shot in the shop. That's a brittle crack that just ran through the steel and broke it right in two. Hydrogen embrittlement, also called delayed cracking. It doesn't usually occur within the first one to four hours. If you look at ASTM specs, if you do something like electroplate steel, that could introduce hydrogen, the ASTM specs say you must put it in an oven at 375 degrees Fahrenheit. This is like cooking a cake, it's not terribly hot, and that will diffuse the hydrogen out of the steel before it has a chance to accumulate at the imperfections and cause cracks.
People have taken polished sections of steel and put them in a microscope in an aqueous solution, and they actually can look in the microscope and see bubbles of hydrogen forming right there at those crack tips. Over time the hydrogen accumulates at the tensile stress region, because there's more space, and if enough hydrogen gets there you get hydrogen embrittlement, and steel will crack. Dr. Ballinger sent around a piece of bolt that had cracked in service, and he and I are still debating about whether it's hydrogen embrittlement or stress corrosion cracking. The difference between hydrogen embrittlement and stress corrosion cracking — seventy percent of the time metallurgists make no distinction — but in fact one occurs at the anode and one occurs at the cathode. Hydrogen embrittlement occurs at the cathode; oxidation corrosion occurs at the anode. You can very simply change the polarity, and you'll either be cathodically protected — you won't get stress corrosion cracking if you're cathodically protected — but you might introduce hydrogen and get cracking from that.
There's a little heat-treating shop over here near the airport. A number of years ago, they put in a big steel tank where they were going to heat-treat steel toes — I'm surprised they're doing this in the United States, but the steel toes for steel-toe boots. Very high-strength steel, very ductile steel, because you want lightweight steel toes, and you don't want it to crack if you drop a brick on them. They were putting in a big heat-treating tank, all welded construction, and they were filling it up like a swimming pool — about 50 yards long, 5 yards wide, 3 yards deep — and all of a sudden it started leaking. There were cracks, and I looked at the cracks around the welds. Weld residual stresses, clearly looked like stress corrosion cracking. I go to look in the literature, and they were using sodium nitrate salts for the heat-treating bath, and I found, oh yeah, this is sodium steel and sodium nitrate is susceptible to stress corrosion cracking.
So the guys I was working with — this firm that Steve used to work with — wanted to run a test. We made a U-bend out of some of the pieces of steel, put a bolt through it, stuck it in the solution and made it anodic, couldn't crack it. We ran tests for three weeks and we couldn't crack it. Finally I thought, the literature says it's stress corrosion cracking, what if it's actually hydrogen embrittlement? I switched the polarity on the test, broke within 24 hours. Polarity does make a difference. It turns out the literature was wrong — they called it stress corrosion cracking, it was actually hydrogen embrittlement. Most of the time metallurgists don't even make a distinction. But there can be a distinction, and in that case it was a big distinction, and all of a sudden we had the right mechanism and everybody was happy.
Hydrogen embrittlement occurs all the time. The US Navy down in Groton was going to a higher-strength submarine steel, from HY-80 to HY-100. Didn't seem like a big change. They had promised Congress in the early nineties that they would eventually start making the 21st-century submarine out of HY-130, which they developed in the 1960s, but they never had the nerve to actually build a whole ship out of. So they're starting to build a whole ship out of HY-100 — this is the Sea Wolf, the first edition of the 21st-century submarine, around 1992. Higher strength by 20 ksi, going from 80 to 100 ksi yield strength. The inspectors look for flaws an eighth of an inch in size or larger, and they found none in the welds. Some guy's grinding the surface of the hull to make a smooth contour — you can't even have a little weld reinforcement, because going through the water it creates enough noise that they can pick it up on sonar. So they have to grind it smooth. This grinder noticed that the grinding swarf, the little iron oxide particles, was lining up in these little less-than-eighth-of-an-inch-long parts in the weld metal. He was smart enough to tell someone, and they came in and did more thorough non-destructive testing — and all the welds, 18 percent of the hull had been completed, all the welds were full of little microscopic cracks they had never seen before.
They had to scrap the whole 18 percent of the vessel. It slowed down the whole program by about a year. It ended up costing the Navy about two billion dollars to fix the problem. One of the ways you fix the problem is you heat the steel — you have to preheat the steel, so that when you're heating it, it's like it's already in an oven. The heat from welding raises the temperature above that 375 and it'll diffuse out. After you finish making your weld it's still hot and the hydrogen diffuses out. The harder the steel is to weld, the higher the temperature you have to preheat. For this particular steel which is highly alloyed, they actually had people going in and welding in what they call blue jelly suits, because they had to preheat the steel to 400 degrees Fahrenheit. These guys were literally welding inside an oven. They had a mask so they didn't have to breathe 400-degree air, and they would wear a suit with a blue liquid that they actually recirculated. These guys were sent into these closed containers in the ship to weld the steel together, heated to 400 degrees Fahrenheit. That's how desperate they were to keep welding so Congress wouldn't cancel the whole multi-billion-dollar program.
§6. Steel metallurgy: phase diagrams, hardness, and alloying [40:25]
There are lots of different types of steels. How many people in here are not Course 3? Okay, so half of you. I'm going to show you a phase diagram — I apologize, not everybody can appreciate phase diagrams. However, this phase diagram you should learn to appreciate, those of you in Course 3. This is the iron-carbon phase diagram. Is anyone in Course 3 who has not ever seen this before? Okay, so you've all seen it. I had a graduate student once who had been in mechanical engineering from another university, and Professor Elliot, who's passed away, put up the iron-carbon phase diagram in a class and just started talking about it. The student raised his hand, said, "Professor, can you explain what that is?" He said, "You've never seen this iron-carbon phase diagram?" Just tried to humiliate him in front of the class. Steels are everything on this side below about 1% carbon.
The maker of this diagram is a guy named John Chipman. Our departmental breakout room is the Chipman Room. John Chipman taught the world how to make steel about 1940, and in the steel industry he's a hero. Steel has a face-centered cubic crystal structure up here, body-centered cubic down here. You can heat it up in this region, quench it down to this region, and it will form a metastable body-centered tetragonal, similar to the body-centered cubic, which is martensite, which is extremely hard. You can go from this 30 ksi-type material that you started with, formed into a sword or bolt when it was soft, and you can quench it in water or oil. The swords — they used to take a living slave and quench it by sticking a hot sword through. They thought this gave the swords more power, gave the steel vitality. They'd lose more slaves that way. This is sort of making someone sick in the back, but the world was different. Actually the world is still the same way in certain parts of the world.
Student: [comment about cauterizing, inaudible]
It cauterizes the wound, the hot steel. My oldest daughter was born in Saint Elizabeth's Hospital in Bethlehem, Pennsylvania — beautiful hospital, because they were always bringing maimed steelworkers down to the hospital. Some guy gets his arm cut off by a piece of hot steel — sliced through your arm like butter, but there's no bleeding because it cauterizes as it goes. So you quench it and you get an increase of five or ten in strength, except now it's so strong that it's somewhat brittle, and you have to temper the steel. You go to a True Value hardware store and you'll see True Temper tools. They've heated it, quenched it in water or oil, then have to temper it to 500 or 1000 degrees Fahrenheit. You tend to avoid the 600 to 900 range because the steel can get brittle for other reasons.
This explains one of the reasons why there are so many steels. There's hardness, hardenability, and hardening ability. Out of a materials dictionary: hardness is the resistance of any material to indentation. So a hardness test — you take either a diamond or a hard steel ball, put a weight on it, and see how deep it goes into the surface of the material. You're probably only going to go in a hundred microns deep, a little thicker than a human hair, to get a little indent. You measure the depth very precisely in a special machine, and you get a hardness number. If you go out and get a bunch of them done at some testing lab, they'll charge you five bucks a pop.
Hardenability — in ferrous alloys, the property associated with chemical composition of the base metal which determines the depth and distribution of hardness that can be induced by quenching. How deep will that go, and how is it distributed? The hardness will be maximum at the surface and it will die off, but how does it die off? There are whole books listing all the different steels showing you the depth of stuff. A hundred years ago if you'd been a graduate student in this department, you might have been generating these plots for different compositions of steels and trying to understand why different compositions behave the way they do.
Hardening ability is, in steels, the property that describes the maximum hardness the base metal can be treated to. It turns out the maximum hardness is very strongly a function of the carbon content of this iron-carbon alloy. If you're at a tenth of a percent carbon, like automotive steels, the maximum hardness might be Rockwell C 25, whereas if you're at six-tenths of a percent carbon — only six times as much — the maximum hardenability might be Rockwell C 60. Rockwell C 60 is as hard as a file. If I put it in a vise and hit it with a hammer, even if it's been tempered, I could probably shatter the file if I hit it hard enough. Take that 1010 steel that you might make an automotive sheet out of, quench it and temper it — I can't get 200 ksi strength like a nail file or a metal file. But if I put it in there and I quench it in water and I do it well enough, I might be able to get 100 ksi. I can't get 200 ksi. So the carbon content is important.
If I start looking at the actual compositions of steels — this is a plot of hardness versus carbon content, and you can see at low carbon contents you're going to be Rockwell C 25, and at higher carbon contents you'll get up — actually this one is hardness of pearlite, this is not the one I was thinking of. This one would be 0.1, but it's a similar shaped curve, increasing in carbon and then leveling off. There are lots of steels, and we'll talk some more on Monday, but they have different designations. A 1050 steel has 0.5 carbon, a 1065 has 0.65 carbon, and these are all the plain carbon steels.
Then you get down to the ones that are 4000 or 5000, and those are what we call alloy steels. They have nickel, chrome, vanadium, niobium alloying elements, and they will have different amounts of carbon. The plain carbon steels you probably can't harden more than an eighth of an inch deep. If you start putting nickel and chrome in, you can make something four inches thick or eight inches thick that has a hardening ability or hardenability that can go for eight inches deep. If you don't put the alloying elements in, you'll get just the top eighth of an inch that's hardened. You need to add alloying elements for heavy steels, you need to adjust the carbon for the maximum hardness you're going to get. If you're an automotive company you want just the right amount of everything, because it could make a difference of $10 a ton or $20 a ton, and if you're buying a million tons then it makes a difference.
There are literally hundreds of steel compositions, and you need to be a steel heat-treater to figure out which one of these you're going to use. The automotive and railroad industries want just the right composition for their thickness and their wear resistance or corrosion resistance. They use different alloying elements, different amounts of carbon. There are literally hundreds of variations because when people buy a million tons of steel they want the lowest possible price, and tenths of a penny per pound make a big difference. So I'll see you Monday.