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Engineering, 06.06.2020 22:03 StephanieQueen2003

As noted 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 100where E(100) and E(111) are the moduli of elasticity in [100] and [111] directions, respectively; a, β, and γ are the cosines of the angles between [uvw] and the respective [100], [010], and [001] directions. 1A) What is the angle, in degrees, between the [110] direction and the following directions? 100 010 0011B) What are the cosines of these angles? [1101] - [100] cosine [110] -[ o10] cosine [110] - [001 cosine 2A) What is E10 for aluminum in GPa? 2B) What is the value in GPa? 3A) What is E10 for copper in GPa? 3B) What is the value in GPa? 4A) What is E10 for iron in GPa? 4B) What is the value in GPa?

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