A single crystal of copper is loaded under a stress state such that σ 2 = -σ 1, σ 3 = τ 23 = τ 31 = τ 12 = 0. Here 1 = [100], 2 = [010], and 3 = [001].
A. When the stress σ 1 = 6 kPa, what is the shear stress, τ , on the
i. (111)[101] slip system?
ii. (111)[110] slip system?
iii. (111)[011] slip system?
B. On which of these systems would you expect slip to ?rst occur as the applied stresses increased?
C. Assuming slip on that system, determine the ratios of the strains, ε2/ε1 and ε3/ε1.