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Determine the number of independent slip systems for crystals with each of the following combinations of slip systems. (The simplest way to do this is to de- termine how many of the strains ε1, ε2, γ 23, γ 31, and γ 12 can be independently imposed on the crystal.)
A. Cubic crystal that deforms by {100} slip.
B. Cubic crystal that deforms by slip on {100} and {100} systems.
C. Cubic crystal that deforms by {110} slip.
D. Hcp crystal that deforms by slip on (0001) and {1010} systems.
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