There are three slip systems on a FCC octahedral plane, i.e. one of the {111} planes. Assume a 2 MPa tensile stress is applied along the [100] direction of a gold single crystal, whose critical resolved shear stress is 0.91 MPa at room temperature. Demonstrate quantitatively that measurable slip will not occur on any of the three slip systems containing the (111) plane as a result of this applied tensile stress. (Hint: Schmid’s law)

Elements Of Electromagnetics
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Author:Sadiku, Matthew N. O.
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1. There are three slip systems on a FCC octahedral plane, i.e. one of the {111} planes. Assume a
2 MPa tensile stress is applied along the [100] direction of a gold single crystal, whose critical
resolved shear stress is 0.91 MPa at room temperature. Demonstrate quantitatively that
measurable slip will not occur on any of the three slip systems containing the (111) plane as a
result of this applied tensile stress. (Hint: Schmid’s law)

2. Identify the Burgers vector (using vector notation) of a screw dislocation that can cross-slip
between (111) and (111) planes of an FCC crystal (Hint: Use Weiss zone law). 

3. Why are dislocations not considered thermodynamic equilibrium defects like vacancies?
Explain by describing the relative interplay between entropy and enthalpy affecting the Gibbs
free energy of the dislocations-containing material system.

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