Consider an aluminum single crystal that has been stretched in tension applied parallel to x = [100] (σ x = +250 kPa) and compressed parallel to y = [010] (σ y = -50 kPa), with σ z = 0, where z = [001]. Assume that slip occurred on the (111) in the [110] direction and only on that slip system. Also assume that the strains are small.
A. Calculate the ratios of resulting strain, εy/εx and εz/εx .
B. If the crystal were strained until εx = 0.0100, what would the angle be between the tensile axis and [100]?