As noted in Section 3.15, for single crystals of some substances, the physical properties are anisotropic; that is, they are dependent on crystallographic direction. One such property is the modulus of elasticity. For cubic single crystals, the modulus of elasticity in a general [uvw] direction, Euvw, is described by the relationship

where E100 and E111 are the moduli of elasticity in [100] and [111] directions, respectively; α, β, and γ are the cosines of the angles between [uvw] and the respective [100], [010], and [001] directions. Verify that the EŒ©110Œª values for aluminum, copper, and iron in Table 3.3 are correct.

Transcribed Image Text:

1 Ka²82 +B2y²2+y²a²) (100 (100 -пж ल