§1. Scandium and the aluminum baseball bat [00:15]
At the end of the day yesterday I'd forgotten to bring my scandium baseball bat. If you look on here there are a number of things. One, it says TH-T 100 scandium alloy. It was really the Soviets who came up with using scandium. We use titanium in some aluminum alloys as a grain refiner — you get titanium nitrides or titanium borides that form as low precipitants and keep the grains from getting large, so you get fine-grained aluminum. But scandium works even better.
Who knows why the Soviets used it. They probably had a source of scandium where they had some expert in the old days in the Soviet system. All you needed was one very powerful person, scientifically, who had some pet idea — in this case maybe a pet metal. But it also has numbers on there like BPF 1.15, and I think it's ball protection factor or something. There are all kinds of different things to evaluate whether the baseball bat is safe, because they actually design it for performance — they claim they don't, okay. But aluminum bats hit further than wood bats, and you can prove it. I did a study for someone once.
It turns out, if you want to have the maximum energy and momentum transfer, which is what you want — I learned in freshman physics that you have to have equal mass things hitting each other. If I take two billiard balls which weigh the same and hit them together, you can have the maximum energy and mass transfer on the collision. If you take a tennis ball and roll it against a wall, the wall has a lot more mass than the tennis ball. It'll change its momentum by going in reverse, but you don't impart any momentum to that wall — it doesn't really move any substantial amount.
So if you have unequal masses — well, it turns out you can do the exact same thing for springs. Remember, the force of a spring is minus kx, and the energy of a spring is one-half kx squared. The energy of velocity and mass is one-half mv squared, and the momentum is mv. There's sort of an analogous mathematics here. So what you really want to match is the ball stiffness, or spring constant, to the spring constant of the aluminum.
It turns out the Naval Surface Weapon Center in China Lake actually has some fancy high-speed cameras, and the people who make the baseball bats are in Southern California, so they contracted with the Navy. You can now use government labs for things if you pay. They had them take some pictures of bats hitting balls at high speed. And it turns out wood is not a good match. If you're an electrical engineer, it's an impedance mismatch. You have different stiffness. If you have the same stiffness, which you can get as you get thinner and thinner on that back wall, then you can get the ball compressing similar to the amount of deformation of the bat when you hit it.
You hit a hard ball with one of those bats and it actually deflects about a half an inch. The ball also deflects about a half an inch. The only problem in all this analysis is the ball has a lot of hysteresis because it's got lots of fiber and other stuff if you cross-section a baseball, and it's got rubber cores and things, and that stuff has a lot of frictional or energy loss. So there's a hysteresis in the ball. There's not much hysteresis in the metal — it's pretty much linear.
They get them thinner and thinner so they can make them have excellent coefficient of restitution for hitting the ball. But the problem is you might get one hit before the bat cracks, it's getting so thin. They've gotten so thin that a lot of these bats only last one season, which is great for the companies, okay — they sell more baseball bats. And it turns out people want performance — there's absolutely no question, they're buying performance. They have all these things like the BPF 1.15 or other numbers on there.
The NCAA has actually got some of the stiffest requirements so that you don't have people hitting lots of home runs, but you have a safe system where the balls are not coming off so fast that people can't respond. That's the safety issue. There have been cases where pitchers have been blinded because the ball came off so fast, hit them in the eye, and they couldn't react. People have done studies of these things, and it's still very controversial because it's sports. Some people want to have the best performance and some people are worried about safety. It's just a big debate, okay.
§2. Magnesium welding — everything you need to know [05:36]
Before I keep going on aluminum, I want to tell you everything you need to know about magnesium welding. The problem with magnesium — and by the way, here's a bar of magnesium. [Tom passes around bars of magnesium, beryllium, zinc, and aluminum for comparison.] Beryllium and magnesium actually have about the same density. So if you want to know about beryllium — I wanted to get a piece of beryllium, but for a 15,000-thick piece one inch square they wanted $1,500, which I didn't want to pay. This is zinc, which is a little bit lighter than steel, but not much. That's magnesium. I don't have a one-inch bar a foot long of aluminum, but there's something similar. So you can feel the density differences, and you can see why people would like to get away from steel structures, similar to zinc, and go to aluminum. But if you compare aluminum and magnesium, you can see why they'd really like to go to magnesium. Or if you're in the space business and you can afford anything, you can go to beryllium, because the value of a pound saved in a spacecraft is twenty thousand dollars per pound to get payload into orbit.
The problem with magnesium is, it loves to stress-corrosion crack. If you look at that galvanic series we did in corrosion, you've got graphite down here, and the other far extreme for the anodic system is magnesium. It's more anodic than virtually anything else you can name on the periodic table. So it's going to be anodic to anything else that is anywhere near it. And if you have a conductive material like seawater around, it's not going to be good.
The problem is residual stresses, because you have a material that's very susceptible to corrosion. If you have any stress, the environment humidity in the air will stress-crack magnesium. So the only thing you can do is get rid of the stress. The only way we use magnesium is — anybody think of a use of magnesium and what form it's in? Just think of what you know that's made out of magnesium.
Student: NASCAR.
Yeah, a NASCAR vehicle is worth how much, about a half a million to a million dollars, right? You can afford it, and you only have to drive it for 500 miles. Sort of like a cruise missile — it has to last for an hour and a half, the engine in a cruise missile, limited time life. So NASCAR. But there are actually a lot of people driving around on magnesium wheels — mag wheels — on a car. Turns out most mag wheels today are actually aluminum. In the old days they were magnesium, and they would start pitting after a year. They'd put clear coat on them and all this other stuff, and they would still start pitting when they're made out of magnesium. So they mostly make them out of aluminum, but they'd love to make them out of magnesium, and they did make them out of magnesium.
Helicopters often use cast aluminum, cast magnesium parts. Today in automobiles there's about 15 or 20 pounds of magnesium in an automobile, mostly underneath the dashboard where it's protected from any road salt or anything like that. So it's basically in the occupant compartment, underneath the dashboard, so if it does start to show white rust, people don't see it. They also use magnesium sheet in some applications. So castings or sheet metal.
What about castings? Castings basically don't have residual stress if you make them properly and mount them properly. You don't have screws adding residual stress when you attach them to things. And sheet metal — three-eighths of an inch is the worst distortion, but sheet metal is too flexible and doesn't create a lot of residual stress. So we screw sheet metal, or we adhesively bond sheet metal magnesium parts. You don't generally weld magnesium, because even in sheet metal you'll get some residual stresses around that weld and you'll get cracks because of stress-corrosion cracking. That's the Achilles heel. That's why I said magnesium is the metal of the future in automobiles — always has and always will be — unless someone solves the stress-corrosion cracking problem, okay.
So that's everything you need to know about magnesium welding. We don't do it. I mean, we can do it. If you go to the welding handbook they will tell you how to do it; they just won't tell you how to get rid of the crack that follows behind your arc. Okay.
§3. Aluminum alloys — non-heat-treatable and shipbuilding [10:35]
We talked about aluminum alloys, and we talked about things like 5083, which is now kind of what the Navy is using, but everybody uses for a non-heat-treatable aluminum alloy. We're going to talk about design of aluminum in general. You can match the strength of the non-heat-treatable alloys. There's nothing particularly special. They get 20 or 25 ksi strength, which is not a high strength, but on a strength-to-weight ratio — a specific strength, if you divide by the density — it's stronger than steel. And it's lighter, so you can use it in some special applications.
You started building some all-aluminum ships. Aluminum can have very good corrosion resistance in water environments, and even salty water environments. Almost always your sewage treatment plants are made out of aluminum, because they've got better corrosion resistance than carbon steel. You can afford the aluminum, and in sewage treatment you've got all kinds of chlorides and everything else coming through that plant. So you can get 30 or 40 years out of aluminum in certain applications, as long as you don't end up with certain types of corrosion and stress corrosion and things like that. It's really not any worse than steel so far as that goes.
§4. Heat-treatable aluminum alloys and liquation cracking [12:06]
The heat-treatable alloys, on the other hand — we want to talk about welding them — have one Achilles heel. If I look at the alloys — well, these aren't my heat-treated alloys. So this is just some commercial aluminum alloys. 1100 is pure aluminum. The 2000 series is the aluminum-copper alloys. 4043 is a welding filler metal mostly. 5083 is non-heat-treatable. 6061 and the 7000 series, these are all heat-treatable. Turns out the heat-treatable ones have more alloy content — they have magnesium or silicon or copper. The 2000 series is also heat-treatable. Some of these have titanium or zirconium for grain refinement, similar to scandium, but scandium is more effective and more expensive.
The problem is liquation cracking. When you get a liquid up there — this is actually 2219, which is what they used to make the space shuttle great big external expendable tank out of. The problem is the copper alloy — we talked about liquation cracking in nickel-based alloys, but we have the same thing in aluminum alloys. It's an aluminum-copper alloy, and the copper will segregate at the grain boundaries and it will melt while you're heating up the weld. You can see the cracks just running right through the grain boundaries, which basically turned into a slurpee — a liquid-solid solution.
The other problem with the heat-treatable alloys is, if you're welding them in their full strength condition, you can't get 100% joint efficiency. You may only get 60% joint efficiency. You can get 40 ksi in 6061 aluminum as opposed to 25 ksi in 5083, but after you weld it you're down to 25 ksi in the weld, because the weld metal is a non-heat-treatable, non-precipitation-hardened alloy. So you're not going to do any better in the weld metal than you do with non-heat-treatable alloys. That's a problem.
To give you an idea of some of the cracking you get — this comes out of Sindo Kou's book. The first one is 6061 where they used 1100 filler metal, and I'll explain why this is a problem. The reason it's a problem is 1100 filler metal is nearly pure aluminum, and the 6061 is highly alloyed as a precipitation-hardenable alloy. If you look at the phase diagrams for aluminum, almost all of them start out as some eutectic. This is aluminum-magnesium-silicon, so it's magnesium and silicon added to the alloy. This is temperature. This is a phase diagram. We've got liquid up here.
1100 aluminum is essentially pure aluminum and has a very narrow freezing range. If you have a highly alloyed weld metal, you can also have a narrow freezing range as you go from liquid down to solid in here — this is your liquid-plus-solid slurpee region. If you end up mixing a weld metal and a base metal where one's highly alloyed and the other's lightly alloyed, you'll have a very wide freezing range — means more delta T when you're in this liquid-solid region. More delta T in that liquid-solid region means more total strain, means more potential to crack.
So if you take 6061 and weld it with 1100 aluminum, you're liable to end up with a crack, because you've got a wide freezing range. Same problem with the nickel-copper alloys. It's liquation — what we call liquation cracking. This is an example of — actually, that's hot tearing, officially is the technical term. This is 2219, aluminum-copper alloy, on the outside, 1100 aluminum on the inside, 1100 filler metal. So I've got here at this interface where I have no crack, I have 1100 to 1100, I have a narrow freezing range, no cracks. Here I have 2024, and I have cracking all the way around. Just a perfect cracking example.
In fact, when I was teaching an undergraduate lab a few years ago and I had to come up with some labs, I had the students weld 2024 aluminum. It's perfect — you always get cracks. It's very easy to get cracks. I'll show you some of that. They could take those cracks and put them in a scanning electron microscope and see dendrites, and it's great. Just not a great thing to weld.
One of the things you can look at is the freezing range, or the composition that causes cracking, in a number of different aluminum alloys. So this is aluminum-silicon, which is 4000 series, 2000 series, aluminum-mag is 5000 series, aluminum-mag-silicon which is 6000 series. You find that the composition of the weld — percent of alloying element — you'll get your maximum cracking at some intermediate level. That's just this wide freezing range. Highly alloyed, no cracking. Lightly alloyed, no cracking. Wide intermediate, lots of cracking.
So, why don't we take five minutes, you go get breakfast, I'm going to turn the camera off. Okay.