A single crystal of a metal that has the FCC crystal structure is oriented such that a tensile stress is applied parallel to the [100] direction. If the critical resolved shear stress for this material is 2.00 MPa, calculate the magnitude of applied stress necessary to cause slip to occur on the (111) plane in the direction.

Explanation:

From the given information:

The equation for applied stress can be expressed as:

where;

= angle between the applied stress [100] and [111]

To determine the and for the system

Using the equation:

for [100]

for [111]

Thus;

To determine    for

where;

for [100]

for

Thus;

Thus, the magnitude of the applied stress can be computed as:

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