The applied stress needed to cause the slip to begin in the [ 111 ] direction on the ( 110 ) , ( 011 ) , and [ 10 1 ¯ ] slip planes.

Question

Determine the critical resolved shear stress on a BCC single crystal if a normal stress of 10 MPa along [100] direction causes slip system on (110) plan along [1-11], one-bar one-one, direction.

Answer 1

Question

Chapter 4, Problem 4.43P

To determine

The applied stress needed to cause the slip to begin in the [111] direction on the (110), (011) , and [101¯] slip planes.

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Determine the critical resolved shear stress on a BCC single crystal if a normal stress of 10 MPa along [100] direction causes slip system on (110) plan along [1-11], one-bar one-one, direction.

Consider a single crystal of some hypothetical metal that has the BCC crystal structure and is oriented such that a tensile stress is applied along a [2 2 1] direction. If slip occurs on a (2 1 1) plane and in a [-1 1 1] direction, compute the stress at which the crystal yields if its critical resolved shear stress is 2.4 MPa.

1. There are three slip systems on a FCC octahedral plane, i.e. one of the {111} planes. Assume a2 MPa tensile stress is applied along the [100] direction of a gold single crystal, whose criticalresolved shear stress is 0.91 MPa at room temperature. Demonstrate quantitatively thatmeasurable slip will not occur on any of the three slip systems containing the (111) plane as aresult of this applied tensile stress. (Hint: Schmid’s law) 2. Identify the Burgers vector (using vector notation) of a screw dislocation that can cross-slipbetween (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 Gibbsfree energy of the dislocations-containing material system.