Turned out to be extremely interesting. Youngís elastic modulus (Y) drops by increasing temperature not only for pure metals but just about any material.
Take copper. From T=0 to 800C , Y=130 to 75 GPa.
For expansion (a) Iíve only found the linear value at room temperature. a=1.65E-5 K^-1 Multiplying by 3 for bulk value and guessing that itís value is not going to change too much, density is also not changing much. It is clear from Gokuls formula that upon heating we are now losing a lot velocity and a lot of energy.
Do we need to change the laws of physics as we know it? Astronuc help me out!