1. Engineering
2. Mechanical Engineering
3. consider a single crystal of hexagonal symmetry since rotation by...

# Question: consider a single crystal of hexagonal symmetry since rotation by...

###### Question details

Consider a single crystal of hexagonal symmetry. Since rotation by 60° about the z axis below (also known as the c-axis) must obviously leave the elastic constants unchanged, it can be shown that (i) C11 - C12 = 2 C66 . However, it can also be shown using relation (i) that (ii) C1’1’1’1’ = C1111 no matter what value θ assumes. Show that this latter statement is true by performing a transformation about the z axis with (i) taken into account.