§1. Measurement, MIT, and the number one driver of material selection [00:02]
Anybody have any questions from yesterday? We went over externalities and hopefully you now have a feeling for what externalities are. And I just explained off the camera what competitiveness is, which has all kinds of externalities — economic, political, social — versus productivity, which is how well you can manufacture something or make something.
The other thing I wanted you to be aware of from yesterday is you have to be quantitative to be scientific. Here actually is the framed quote that's on the wall as you enter my office, except it's not there, it's right here right now. Lord Kelvin said: I often say that when you can measure what you're speaking about and express it in numbers, you know something about it. But when you cannot measure it, when you cannot express it in numbers, your knowledge is of a meagre and unsatisfactory kind. It may be the beginning of knowledge, but you have scarcely in your thoughts advanced to the stage of science, whatever the matter may be.
When you go out there in the real world and people find out you're from MIT, there are two responses, and most of you have already seen them. "Oh, you're from MIT, you think you're hot stuff, huh?" Other people: "Oh, you're from MIT, you must know everything." A lot of people either look at you with disdain for no good reason, or look at you as some sort of savior of the world for no particularly good reason either. But you are more qualified than most of them.
So today we're going to discuss the number one factor in selecting materials. Selecting materials is supposed to be what these few lectures are about, and yesterday we talked about the externalities. What is the most important driver in selecting any material, whether it's a silicon chip or a piece of steel for a bridge, or a piece of nickel-based alloy? You're working on nickel-based superalloys — why don't we build bridges out of nickel-based superalloys? The number one driver is something called price, or cost. And that cost and price has lots of externalities in it, but it does have some things that are fundamental.
§2. Abundance, entropy, and the energy content of materials [02:30]
There's a book I could use as a textbook. It's called Engineering Materials One — there's an Engineering Materials Two — by Michael Ashby, who used to be a faculty member at Harvard, and then he went back where he came from, Cambridge. Now he's retired, but he developed something we'll show in a little bit called Ashby plots. Some of you may have seen them. He's got a company called Granta that sells a fifty-thousand-dollar computer program where you can input the properties you want to achieve and it will help you select your materials.
The second chapter in that book is about price and availability of materials. So far as availability, you can look at it at lots of different levels. One of the things Ashby has — and this is a plot from that handout — is the abundance of materials in the Earth's crust. It's not just the whole crust; it includes oceans and atmosphere. Obviously it's not surprising that oxygen is number one and hydrogen is number two, even though there are twice as many hydrogens as oxygens — he's doing this on a weight basis, in fact it says weight percent at the top.
Aside from those trivial details: silicon, aluminum, iron, calcium. The geologists and geophysicists have figured these out for virtually all the elements in the periodic table. So there is an availability. But there's also another thing you learned in your earlier studies called entropy. How concentrated is that stuff?
Gold is valuable because we measure the ores in ounces per ton — ounces of gold per ton. If you've got to dig up a ton of material to get three ounces of gold, it's going to cost a fair amount because of the energy that goes into recovering it. But there's another, bigger energy cost than just that. This is also out of Ashby's chapter two — the approximate energy content of materials in gigajoules per ton. Straight out of thermodynamics. Aluminum is 300 gigajoules per ton, and steel is one-sixth of that. So the people who like to think that someday aluminum will be as inexpensive as steel are kidding themselves, because iron oxide is less stable than aluminum oxide. It's always going to cost more to separate aluminum from its oxygen than to separate iron from its oxygen.
Copper here is a hundred, not because it has such a stable copper oxide or copper sulfide, but because the ores are not very rich. There were ores in the Congo, which is Zaire now, that were two or three percent copper, but we sort of mined those out, and now we're dealing with ores that are one or two pounds per ton, or maybe ten pounds per ton. Again, it's sort of like gold.
There's a nice little rule of thumb I use for the difference in price between gold, silver, and copper. They're right next to each other on the periodic table. Does anybody know what the relative price is between those? What's the price of silver compared to copper? It's about a factor of a hundred. What's the ratio of gold to silver? About a factor of a hundred. So the price of gold to copper is about a factor of ten thousand.
§3. Conveying water: from wood to PEX [07:05]
If I were going to select a material to convey water in a home, the best material would be gold. But we don't use it because it's a little pricey. We use other things.
What was the first material to convey water? Water is a pretty basic commodity. As commodities go, water is one of the four basic elements. Did you know there are four basic elements according to Aristotle? Fire, earth, air, and water. Through the thousands of millennia, the ancients considered fire, earth, air, water — some people included wind, but others understood wind was just a fast form of air. Aristotle actually drew something like this phase diagram. I don't know if he drew it as a diagram, but fire is both hot and dry, earth is dry and cold, water is cold and wet. These are properties. This is the first structure-property diagram. Way ahead of all the material scientists of this century.
So what was the first material to convey water? Water is necessary to drink, and you don't always build your campfire or your bed right next to a stream. You have to carry it — you don't want to cup your hands. Someone took an old log and hollowed it out, and they had a wooden bucket. Why don't we have any of those old wooden buckets? Because wood doesn't last that long. It rotted away thousands of years ago. But most likely they used wood.
What was the second material they might have used? Stone and mortar. They may have built a little trough. The Romans built aqueducts. There's actually a recent article, in the last two or three weeks, in Science magazine about how the Roman concrete is so much better than our concrete even today. It's lasted better. Some people have been researching this and found it's because they used a particular type of volcanic rock with certain properties. Now they're trying to improve concrete today based on what they've learned about the chemistry of Roman concrete. I guess those Romans were a lot better material scientists than we thought. They didn't have a clue — just dumb luck, most likely.
So: wood, stone, mortar, concrete, aqueducts. Then in the 18th and 19th centuries they started using pipes. What did they make the pipes out of? Lead. This is out of Ashby's book, in the chapter on creep. These lead pipes have been sitting there for several hundred years, and they're noticeably sagging, because they're creeping at room temperature.
My house is 85 years old, and I had a lead drainage pipe in the laundry room when I first moved into the house 40 years ago. I got rid of it. But I'm not drinking out of that water. Nowadays they just outlawed even lead and brass. A lot of the brass we use in plumbing, like a fitting like this, ten years ago would have been made out of leaded brass. Can't do that as of next year. They're going to have non-leaded brasses. Does anybody know why we use leaded brasses?
It turns out when you machine a leaded brass, the lead doesn't mix with the copper and zinc. It forms little islands, inclusions of lead. When you machine it, the lead heats up, melts, and forms a lubricant. You can machine leaded brass about five times faster than regular brass. So it's cost again. We used to use leaded brass, and we never thought the amount of lead leaching out of the water was turning all the children ignorant. Well, in fact it wasn't — it was genetics that made them ignorant. But mom and dad don't want to think the genetics made their children ignorant; they want all the lead out of the system. In 1978 Massachusetts outlawed lead-tin solders, and now they only have tin solders for making plumbing.
We all think copper pipe was the way to do plumbing, but it turns out it wasn't. In the 19th century we used lead pipes. Some people would use steel pipes, but then you get rust and your water was brown. It doesn't hurt you, because iron oxide is the non-toxic control the toxicologists use. You can drink iron oxide, it won't kill you. When they try to kill rats — when they have them breathe fume — they have them breathe iron oxide fume for the non-toxic control. Iron oxide is not toxic in the body according to the health scientists. They didn't like to use straight steel pipes, which they had in the 19th century. They used lead because it wouldn't corrode.
Does anybody know where we have a roof at MIT that is lead? Kresge Auditorium. Thinner than an eggshell in ratio to its radius. It's a lead roof, because lead lasts forever in atmospheric corrosion. So does copper.
We ended up using galvanized pipe until about World War II, and then after World War II we started using copper pipe much more frequently. Today we actually use something else. Does anybody know what it is? PEX. [Tom holds up a PEX tube with a plastic fitting.] That's a PEX tube with a plastic fitting. This is a brass fitting. This is PEX, and that's PEX-B. PEX stands for cross-linked polyethylene — PE for polyethylene and X for cross-linked. There are two ways to cross-link it. You can hit it with electrons — that's PEX-A, the more expensive one. This is just like Charles Goodyear and sulfur and rubber. You're trying to make a cross-link of your polymer chains to make a three-dimensional structure. I'm getting some nods — some of you are material scientists and understand those things. PEX-B is chemically cross-linked, which is sort of what Charles Goodyear did with sulfur. You put sulfur in, and the double-bond sulfur ends up creating the cross-link between two polymer chains, and you end up with rubber.
They started selling PEX. There have been hundreds of millions of dollars worth of settlements in Las Vegas and other places, and there are still billions of dollars worth of lawsuits, because some material scientists on the West Coast have determined that this type of brass — the leaded brass we've been using for about a hundred years — is defective. And all the homeowners whose houses are underwater on their mortgages — this is an externality — are suing to have the builders replace all their plastic pipe because of these brass fittings.
The whole thing is bogus. What they're saying is, this stuff dezincifies — there's something called dealloying, and it occurs in certain waters that are pretty corrosive, like Las Vegas, Colorado River water is not the greatest stuff. So they get some dezincification. Analogous to that in steel is something we call rust. Would you consider any car that had a spot of rust to be defective and should be scrapped? Would you consider any bridge that had a spot of rust to be defective because it started to corrode and eventually will wear away to nothing? What is eventually — a hundred years, a thousand years? These people are predicting a five-year lifetime in systems that are already 20 years old. They're saying it'll fail in the first five years, but they've been there for 20 years. Doesn't bother them. Doesn't matter.
So we've selected materials over the years to convey water, from wood and stone and mortar and concrete — we still use concrete to convey water, great big pipes bringing water from the Quabbin Reservoir to Boston, great big concrete pipes. They might be encased in steel to give them structural strength, but they often line the inside with concrete because it's very corrosion resistant to water, just like the Romans learned. There are material selection issues, all kinds of issues, in something as simple as conveying water. Price and availability are the number one criteria in selecting any material. Every material has a price, but there are different ways to look at those prices. I told you about the abundance and the energy cost per ton.
§4. Selection criteria and Ashby plots [18:07]
If you look at some of the reasons we select materials — and this is supposed to be a course on structural materials — cost is the number one object. Strength and fracture resistance, if we're talking structural materials, is the number one thing, or one of the next ones. Availability. Fabricability — can you join it together, can you form it and shape it? Can you recycle it? And repairability — can you repair it? There are a number of great new materials that fail one of these. I could keep going on this list. Selection of a material is multi-dimensional. People want to build composite structures, but we don't make that many composite structures, and one of the reasons is cost. We'll talk about that.
To go a little bit more on cost: if you go back to Ashby, this is sort of stolen from one of the plots he has. This is the price per ton in his new edition. He doesn't do dollars per ton, he does — steel is 100, not in dollars, just a relative scale. And diamonds are 200 million times greater than the cost of steel per ton. Diamonds are the most expensive material on a per-ton basis, because of scarcity and how they have to mine them. I drew some lines across here, and we'll talk about that. The materials you can build an automobile with are the materials that fall below the green line. The materials you can build an aircraft with fall below the blue line. The materials you might use in a spacecraft are above that line in general.
Ashby developed these plots called Ashby plots — very clever designation. He has a whole book on these. He sells this little book for about $300, and it comes with this book which is not copyrighted — just a series of these plots. His $50,000 program is an even bigger program that can generate these plots from a big database of materials. This is just a way you're supposed to be able to select a material. This is relative cost per unit volume — so cost relative times density — and Young's modulus in this case. These are useful plots in terms of looking at materials and saying, well, what classes of materials have what properties.
Ashby, being quantitative, being a good scientist, looks at certain parameters. If I'm looking at modulus per unit volume, it's the modulus E divided by the relative cost. Elastomers are way down here. Where would I like to be? By the way, this is to the one-half power and this is the one-third power. On a log plot you can put these slopes on here. For sheets or beams, you'll have different ratios of modulus, because modulus comes into the bending-of-a-beam formula to a different power than bending of a sheet. So you might have different slopes. Obviously you'd really like to be up in that corner — low cost and high modulus, so you want something stiff.
What do we have? The stuff up here at the lowest cost is brick, stone, and concrete. Over in this corner we have mild steel. We have engineering ceramics, which are actually pretty pricey if they're engineering ceramics. The cheapest ceramic is concrete, and it's way over there. So ceramics go all the way across. Woods are actually pretty good as structural materials. These are foams. This is interesting — Teflon basically, which is fairly stiff. Things like Kel-F. High density polyethylene, low density polyethylene, hard butyl, soft butyl, all vertical here, all these plastics. There are all kinds of engineering polymers, some get pretty pricey. There are your plastics, here are your composites, here are your metals, here's your stone and brick. You can class these things into certain property areas, which is what you, as a designer selecting a material, want to know about.
Can anybody figure out why these common commodity polymers are all lined up? What axis are they lined up with? Cost. They all have about the same cost. Why? Because their cost is basically the cost of the energy they supplanted. How many barrels of oil does it take to make how many pounds of polyethylene? It's about the same for polypropylene, not a lot different. So all these follow a trend. But you can get a different modulus. The butyls are basically rubbers down here. The woods are composite materials, so it depends on whether you're parallel or perpendicular to the grain.
You can look at a lot of different parameters on an Ashby plot. He started out in the 1980s doing these plots in two dimensions, and his computer program takes them to three dimensions or more. So you can look at ten different properties at a time and come up with some value of product of that. Those are things that experts used to do in the past.
§5. The Army's million-dollar question, and the answer is steel [24:55]
If you look at strength, which for structural materials is a pretty important parameter, and we look at strength versus relative cost, again we want to be up here. We've got brick, stone, and concrete. Among the ductile materials, mild steel and glasses are way up here. Engineering ceramics are way back over here, which is a bad thing — you really want to be above this line. Plastics are down here. By looking at a plot like this, you can conclude something that a few years ago the US Army did a million-dollar study to figure out — this is about 15 or 20 years ago — what was the material of the future for the US Army. Because the Army buys billions of dollars worth of ordnance and materials every year, and if they could figure out the material of the future, it would give them a significant advantage and help them figure out where to better spend their research money. What did they conclude?
Steel. Why steel? It turns out, if you look at combinations of mechanical properties, steel is the cheapest material that has the highest strength and the best toughness. You need toughness to defeat weapons coming in, and you need strength to make things relatively lightweight — although you can make them lighter weight with aluminum, but you sacrifice some of your ability to protect, the armor is not as good. They spent a million dollars trying to figure out what the material of the future would be, and it turns out it was steel.
I remember 20, 25 years ago I was going around giving talks, because in the mid-80s the ceramists were touting that ceramics were going to take over the world, that ceramics had much better properties. The problem is, the ceramists had never studied mechanical properties very much, because the mechanical properties of ceramics are pretty lousy. We'll talk about this more.
In June 1991 I finally wrote a paper on this called "The Future of Metals." The first plot in that paper was this one: out of every hundred pounds of metal made in the world, how much is what. It turns out over 95 percent is iron and steel, and less than two percent is the number two metal, aluminum. Today we make about a billion tons of steel every year in the world; we make about 40 million tons of aluminum — or maybe it's 20 million tons. Copper is number three, zinc is number four. Zinc is mostly used to protect steel from corrosion, which is one of its Achilles' heels.
Steel for structural materials is the material of choice, because of all those properties we talked about before. Cost — steel is one of the lowest-cost structural materials, twenty cents a pound. Strength and fracture resistance — if I put up the Ashby plot for strength and fracture resistance, steel is way up there, one of the best, unless you're going to cobalt and nickel-based superalloys for jet engines, which cost not 20 cents a pound but $100 to $200 a pound in many cases. So there's a price difference. When you look at cost and price, why don't we build railroads out of nickel? First of all, we don't have enough nickel in the world. The availability is such that you couldn't do it. At one time they were talking about making a higher-quality pipeline steel that was going to have two percent nickel, and they were going to use all the world's nickel per year in building that pipeline. Even just two percent nickel in alloying with steel was going to consume all the nickel in the world. They decided that alloy was a little too rich for that application.
So it's availability. Fabricability — steel is one of the easiest things to join. Recyclability — steel is recycled at about 70, 80 percent. Why? Well, when you're producing a billion tons, you're going to be bringing back about 500 million tons a year of scrap, and if all you're going to do is let it sit there and rust, that's sort of a waste. We know how to recycle. Aluminum is recycled at about 50 or 60 percent, not as high as steel. The most used man-made material is something we don't recycle, and we make one and a half or two billion tons a year. It's going to be a bigger and bigger problem. If you can figure out how to recycle it, you'll become a rich person.
A lot of people knew about this magic behavior of steel. Rudyard Kipling said: Gold is for the mistress, silver for the maid — a little sexist here — copper for the craftsman, cunning at his trade. "Good," said the Baron, sitting in his hall, "but iron — cold iron — is master of them all." So you're going to find Tom Eagar keeps talking about steel.
In this paper I just handed out, "The Future of Metals," I basically said you can talk about fine ceramics being a hundred-billion-dollar industry — this is what people were predicting in 1990. You can talk about composites being a fifty-billion-dollar industry. You can talk about silicon being a hundred-billion-dollar industry. And I said, if you take all of them, the growth of all those businesses combined is not as big as the current market for steel, which at that time was five hundred billion a year. It's about a trillion dollars a year now.
Who was the richest man in the world in 1880, and what did he make his money on? Andrew Carnegie. He made it on steel, because of the railroads. Today Bill Gates became the richest man, and now some guy Carlos Slim in Mexico — probably made it on drugs for all I know, but that's a material of choice.
Steel is a fundamental material to all the infrastructure. Before the Arab oil embargo in '73, steel was the material that controlled the world's economy. Oil became the thing after that. Oil is really just the surrogate for energy, whether it's wind energy or hydro power or nuclear energy. Oil is a replacement for those. As the price of oil goes up, the value of a nuclear plant goes up. They're all tied together, because we have ways to exchange energy. It's fungible, in general, from one material to another.
Any questions on that? When we're talking structural materials, iron is the most important. But you can't use iron in all applications. Iron doesn't have the strength at high temperatures, it doesn't have the corrosion resistance, and sometimes you have to use something that costs 100 times as much or more because you need those other properties. We'll talk about some of those things.
§6. Structural vs. functional materials [33:22]
You can also talk about materials as two types. The Japanese in the 80s started talking about functional materials, and they were all excited about functional materials. Fine ceramics — for functional materials, you can make knives out of them, kitchen knives. I have several ceramic knives in my kitchen. Great for cutting onions. Does anybody know why? Because they don't crush the cells and let out all those juices that make you cry. The ceramic knives stay sharp, slice the cell, and don't release as much of the juice, so you don't cry as much. It's true. You can spend a hundred dollars on a ceramic knife, and if you're careful it won't chip and lose its sharp edge.
Now, that actually is a structural material. But of all those billions of dollars that were spent on structural ceramics, if all we can talk about now is kitchen knives, there's got to be more to life than kitchen knives. Functional materials are what we read about all the time. Why am I one of the last dinosaurs in this department who knows anything about structural materials? Because everybody works on functional materials. But that's not what the world is made out of. The world is made out of structural materials.
I remember when they were trying to get the biology option for freshmen — they were going to take away the last remaining elective in the freshman year, and you were going to have to take biology. The associate dean was trying to convince me at a dinner that we should give up any electives in the freshman year and start requiring biology. They eventually did, and it probably was a good idea. They forced me to spend a week one summer taking a biology course from a bunch of Nobel laureates — Philip Sharp and David Baltimore and a couple of others taught me molecular biology for one week, for whatever that was worth. I haven't done much with it, except I now can argue with my medical doctor when he tells me to lose weight. Of course I should lose weight, but anyway.
There are lots of structural materials, and the thing about structural materials is they're used in very large quantities. If you take my processing course, which is one of the other options, I will make an argument why nano materials will never be structural materials. The bottom line: processing rate. To make nano materials, you basically have to make them from the vapor phase, and you can grow them at a millimeter per hour. This is based on the kinetic theory of gases and how fast the vapor phase can condense to make a solid. Whereas with structural materials, if you cast the material, you can cast it with a flux of atoms going into the mold that's a hundred million times greater than you can do with vapor-phase processing.
That's not to say nano materials won't be important as functional materials. They will. But as structural materials — I've had this debate with your thesis advisor, who's trying to make carbon fibers, and I told him if he could get the cost down to two dollars a pound for carbon fibers, bucky fibers or whatever we call them, then he might have something he could make a composite with. At ten to fifteen dollars a pound, I told him it's not going to work. The last time I saw him, he says, "Wait, he's getting it down" — he's down to about six bucks or something. Good. Maybe he will.
In 1991 I would go around the country telling people steel was the more important material. And people were saying, we won't be using steel in automobiles in the future, it's all going to be aluminum or composite or plastic. I said no. I said it based on this idea of cost, which is what we're supposed to be talking about today. Everybody thought I was a Luddite. Who would think steel twenty years from now would be the primary material in an automobile? That is what I was predicting in 1991. I just wish I had taken a few bets on it. I offered to make bets, but no one would give me a bet. I would have won. Go look at the cars today.
Yes, you can buy an all-aluminum Audi. We had all-aluminum Duesenbergs in the 1930s. But you wouldn't buy a Ford Taurus for twenty thousand dollars if it was made out of aluminum. It would be a forty-thousand-dollar Ford Taurus. Professor Clark had students doing doctoral theses on substitution of aluminum, making a Ford Taurus out of aluminum, and concluded it would only cost five hundred more. I said, what about fabricability? She had to go back and rewrite a page in her thesis. And she still didn't get the point. There are reasons why cars and ships and railroads are made out of steel and airplanes are made out of aluminum. We'll go through that in a little bit.
You need to understand there are different properties. Structural materials have tensor mechanical properties, all kinds of different properties. Functional materials have chemical properties, magnetic properties, all kinds of things. [Tom holds up a ceramic catalytic converter substrate.] Here's an example of a catalytic converter. A ceramic substrate that takes the platinum or palladium catalyst. [Tom holds up a second, metallic catalytic converter.] Here's another one, only this is made out of metal. This is made out of a high-temperature metal, because you've got gases going through here at above 2000 degrees. Most metals are going to oxidize and melt, so they have to use a ceramic which has high temperature capability. This is the type of catalytic converter you have in your car. It's made by Corning by an extrusion process, very proprietary, to get thin walls.
A lot of the weight is the outside steel case. That one is made out of an iron-chrome-nickel-aluminum-yttrium alloy, which is the type of coating they put on turbine blades, and they roll it into sheet. Very expensive. At one time they were looking at a lightweight catalytic converter substrate, which in this case could have been a rolled metal like that, because most of your emissions occur on startup before the catalytic converter — this big heavy one — gets to temperature. It doesn't work until it gets hot. When you start your car and drive away for the first couple of miles, that catalytic converter is not working. Anybody get their car inspected? They tell you to run it for 20 minutes before you go in. Why? You'll flunk the emissions test. Your catalytic converter is not operating because it's not warm yet. That metal one will heat up in about one-fifth the time of this ceramic one. [Tom passes the metal catalytic converter around the class.] You can just feel the difference in mass between the two.
§7. The Westbrook plot and the economics of cost reduction [41:00]
There are structural materials and there are functional materials. We're going to talk about structural materials. Now I'm going to hand out something that doesn't have my name on it, but I did write it. I was on a committee for the National Research Council a few years ago that was looking at where the Defense Department should spend their money in the future on materials research. It has this catchy title of Materials Research to Meet 21st Century Defense Needs. I was on this committee with all these people telling me about all these wonderful new materials that I knew wouldn't meet the cost criteria. There were like 40 people on this committee, some of the top scientists and material scientists in the country. Frankly, I was sort of a fish out of water, because I had a different philosophy about selection of materials, and I knew the Army had done the study and concluded steel was the material of the future. They were telling us about fancy composites and all these other things.
If you want to know what Tom Eagar thinks about selection of materials, this is what I wrote up, based on what I was teaching in this course, into four pages. Here's the summary of this week's and next week's lectures from me. If the only thing you read is one thing, this is what you ought to read.
I'm not going to go through all of that today. I'll do some other things. I go back to something a guy named Jack Westbrook, a graduate of this department, put together when he was at General Electric Research, back in 1962. This is his plot from 1962 on structural materials. There's another copy of this in the handout. This is pounds per year used on a log scale going up to ten to the twelve pounds, and here's dollars per pound, but it's 1962 dollars. What's the most used material in the world? Stone. Take rock and crush it, and the price is about ten or twenty cents a pound, maybe less, maybe even five — depends on where you get your stone and what type of stone. The number one processed material is something called cement. Brick and wood are in there. We use a lot of wood. These are not fancy materials, but they're the most used materials. Steel is up here, carbon steel is way up here. Out here are diamonds.
This is a two-dimensional plot. Ashby gives you a single-dimensional plot of cost. This is similar to Ashby's table of cost in his chapter that I passed out, but this also tells you what's used at what rate. The interesting thing is, Jack Westbrook put these dashed lines on here — those are iso-market-size lines. The interesting thing I figured out about this plot was that if I can reduce my cost by a factor of two, the slope of this usage plot is steeper than the iso-market-size line. So if I reduce the cost of a material by a factor of two, over the long run, economically I will double my market. Because this slope says for every factor of two reduction in cost, you'll get a factor of four increase in volume, according to the slope of the line. So if I get half as much per unit but I sell four times as much, my market just doubled. Cost is a very important thing in materials processing, in selection of a material, in growth of markets.
What's the material I said we make two billion tons a year of and we don't recycle? Steel is one billion tons. What's up here? There are only a couple of choices. We don't recycle stone — actually we do sort of recycle stone, but a lot of the stone goes into something we don't recycle, called concrete. We're building concrete roads, dams, all kinds of things out of concrete. A lot of the concrete has sort of a hundred-year life, and we haven't really seen it come back in recycling yet. There are parts of the world where they do use concrete a lot, and it is starting to come back. They have an earthquake in certain places where they don't design for it, and all of a sudden they've got lots of concrete to recycle. A lot of them just dump it in to extend the shore out a little further. Maybe if the oceans are rising, we'll have a good use for concrete as dams to keep the ocean back — I don't know.
Two billion tons a year. We recycle 70 percent of our steel because we have to. Economically it makes sense. If we didn't, we'd be buried in mountains of old rusty steel. We recycle most of our aluminum, not as much as steel. Why? Because aluminum is canned energy. I showed you, aluminum has one of the highest energy costs per pound of material. You can get a lot of energy back by just re-melting aluminum, as opposed to extracting it from its ore.
These metals industries have been around for 100 years. We're not going to be using as much virgin iron ore and as much virgin aluminum ore. We're going to be doing recycling. We're going to get to something more of a steady state, where most of our materials are recycled. It's because of this growth over the last 150 years of the metals business, which Ashby will point out has been growing exponentially if you read his chapter. But that exponential growth is going to start to flatten off. The world is only of a finite size. We've been putting about a half a billion tons of steel into the environment every year for the last hundred years, and some has come back, but it's going to keep coming back. We're going to get to a steady state eventually where recyclability starts to be a constant fraction of the use. The use won't keep growing exponentially. It's called a sigmoidal curve, and we can get into that if you want.
This 1962 plot of Westbrook is very important in understanding materials.
§8. Materials cost is only ten percent of product cost [48:04]
Now the other thing is — I hate to dash your hopes as young, budding material scientists — but the actual cost of materials is a small fraction of the manufacturing cost of a product. The cost of materials is only about ten percent of the cost of the product. Next Tuesday — Dr. Belmar will be lecturing tomorrow and on Monday on his section of the course — next Tuesday I will explain what makes up the other 90 percent of the cost of a product that you sell.
Most of it is in processing, inspection, marketing, fabrication. These consume most of the cost of what you're building. Therefore, if you're paying 20 cents a pound for steel, your structure — whether it's a bridge or an automobile — is going to cost you two dollars a pound for the steel you're actually using to make it into a useful shape. The big costs are actually in the productivity of turning it into a useful product.