Why the **** would you make a space elevator tether out of diamond? Holy ****.
because only diamond, carbon nanotubes, and graphene have the breaking lengths necessary to make the tether. If it were made of any other material it would collapse under its own weight.
Notice that all of the materials mentioned are made purely of carbon.
I believe redsniper knows what he's talking about.
I know what I'm talking about.
Material Science and Mechanical Engineering Education for Hard Light Productions: Round Two(Round 1 was the last time we talked about space elevators when you guys were smugly comparing grades of steel for the tether based on their hardness (

) and tensile strength (

))
When you apply a load to an object, it deforms. Like when we put our tether in tension, it gets longer. Up to a point, this deformation is reversible; the object will return to its original size when the load is removed, sort of like a spring. This is called the elastic range and the deformation is elastic deformation. When loaded further, the object will permanently deform. That is, even when the load is removed, the dimensions of the object will be different from what they were originally. This is called the plastic range, and the permanent deformation is plastic deformation.
Elastic deformation is directly proportional to load (double the load, double the deformation..) thus it's predictable. Plastic deformation.... is not. When an object crosses from the elastic range to the plastic range, we say it "yields," and the stress (force over area) it's experiencing is the yield stress or yield strength. We design stuff around the yield strength and always try to stay well within the elastic range. Now if your object goes plastic and you continue to increase the load, eventually it's going to break. The stress at the breaking point is the tensile strength. (The caveat here is that with ceramics and really brittle materials, the plastic range is tiny; your object would stretch a tiny bit under increased loading and then just snap. In those cases you would design around tensile strength because it's basically the same as yield strength.) This is all well and good for perfectly formed objects, and diamond actually has a pretty high tensile strength compared to steel and such, but there are no perfect objects.
Another crucial failure mode besides overloading is crack growth or brittle fracture. That is, if you load an object with a crack in it, the stress tends to concentrate at the tip of the crack, causing the crack to grow until your objects cross section so small that
then it fails by overloading. We quantify a material's resistance to crack growth with something called fracture toughness. It's not as straightforward as yield strength, having some rather funky units associated with it, but basically higher is better. Fracture toughness is low for brittle materials and high for ductile materials. Stuff like steel and aluminum has good fracture toughness, while stuff like iron and diamond does not. You could actually pretty easily shatter a diamond just by smacking it with a hammer.
Hardness is basically just a relative measure of how easily a material gets scratched. You use it to figure out how a material will get affected by wear and small localized surface deformations. There's a rough positive correlation between hardness and yield strength (in metals at least), but hard materials also tend to be more brittle.
Breaking length I hadn't heard of and it's actually kind of an interesting way to express strength to weight ratio.
breaking length, also known as self support length: the maximum length of a vertical column of the material (assuming a fixed cross-section) that could suspend its own weight when supported only at the top. For this measurement, the definition of weight is the force of gravity at the Earth's surface applying to the entire length of the material, not diminishing with height.
However it all kind of falls apart because of the scale and loading conditions of something like the space elevator because
when supported only at the top
Nope, and...
For this measurement, the definition of weight is the force of gravity at the Earth's surface applying to the entire length of the material, not diminishing with height.
the force of gravity at the Earth's surface applying to the entire length of the material, not diminishing with height.
the entire length of the material, not diminishing with height.
the entire length of the material
sea level to geosynchronous orbit
1g up to up to geosynch orbit? Nope nope nope nope nope. No, no, no way, no.
So what would the loading conditions for our tether actually be? Well.... I don't know. I don't know enough about orbital mechanics or proposed space elevator design to discuss this confidently. It would probably be complicated though. I mean non-uniform gravity field? Geez... Furthermore, depending on how steadily we can keep the anchor in place, our tether might see cyclic stresses, which are a whole other can of worms.
So, diamond is very hard and strong, but it's WAY too brittle for a structural material. We're a long ways off from manufacturing useful nanotubes that actually meet their theoretical tensile strength. Graphene is like, a one atom thick layer of carbon, last I heard. I was under the impression people were more excited about using it for electric circuits than for structural stuff.
tl;dr: diamond may be the strongest metal know to man, but it's too brittle for a space elevator or just about anything else.
Or at least that's how I see it, but what do I know, I'm only a practicing mechanical engineer.
