1. Consider a metal single crystal oriented such that the normal to the slip plane and the slip direction are at 43.1° and 47.9°, respectively, with the tensile axis. If the critical resolved shear stress is 20.7 MPa, will the applied stress of 45 MPa cause the single crystal to yield? If not, what stress will be necessary?
2. A single crystal of a metal that has a FCC crystal structure is oriented such that a tensile stress is applied parallel to the [110] direction. If the critical resolved shear stress for this material is 1.75 MPa, calculate the magnitude of the applied stress necessary to cause slip to occur on the (111) plane in each of the [1-10], [10-1], and [01-1] directions.