Please provide an explanation for each problem, explaining (1) the critical phenomenon that is operating in the problem, (2) the equations needed and any limitations associated with this equation, and (3) the importance of this behavior for real materials response (i.e., why is this important?)

Problem 2 A single crystal of FCC Ni is to be tested in tension in the [110] direction. If the critical resolved shear stress is 10 MPa, calculate the tensile stress at which yielding begins. How many slip systems would begin to operate simultaneously?

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Problem 2 [100] [001] FCC slip Planes: 15 pts Tensile Axis [110] [010] cos is unit vectors in [IT] ${[117] the same [111] [110] (111) (111) (171) First, let's &omnd what cos& is for each the as tensile I plane normal directions. = [T][0] = 0 [110] = O [110] = 3/2/ te 11 o cos & cosd 6 plane. dot product of the Only (111) & (117) are possible slop planes !!! 5 Problem 2 [100] [001] FCC slip Planes: 15 pts Tensile Axis [110] [010] cos is unit vectors in [IT] ${[117] the same [111] [110] (111) (111) (171) First, let's &omnd what cos& is for each the as tensile I plane normal directions. = [T][0] = 0 [110] = O [110] = 3/2/ te 11 o cos & cosd 6 plane. dot product of the Only (111) & (117) are possible slop planes !!! 5