A single crystal of a metal that has the BCC crystal structure is oriented such that a tensile stress is applied in the [1 3 3] direction. The magnitude of this tensile stress is 0.8 MPa, and the critical resolved shear stress is 0.5 MPa. In this problem,

Elements Of Electromagnetics
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5. A single crystal of a metal that has the BCC crystal structure is oriented such that a tensile stress is applied in the [1 3 3]
direction. The magnitude of this tensile stress is 0.8 MPa, and the critical resolved shear stress is 0.5 MPa. In this problem,
we are interested in determining whether or not the crystal will slip in the [1 1 1] direction on the (1 1 0) plane.
Transcribed Image Text:5. A single crystal of a metal that has the BCC crystal structure is oriented such that a tensile stress is applied in the [1 3 3] direction. The magnitude of this tensile stress is 0.8 MPa, and the critical resolved shear stress is 0.5 MPa. In this problem, we are interested in determining whether or not the crystal will slip in the [1 1 1] direction on the (1 1 0) plane.
f. What is the value of coso?
Write your answer within this box:
(simplify fractions and radicals, but don't use calculator)
g. What is the value of cosî ?
Write your answer within this box:
(simplify fractions and radicals, but don't use calculator)
h. What is the value of the resolved shear stress? Don't forget your units. Write your final answer within the box below:
i. Will the crystal slip for this slip system, given the tensile stress direction and magnitude given above? Yes or No? Write
your answer within this box:
j. Why or why not? Write your answer within this box:
Transcribed Image Text:f. What is the value of coso? Write your answer within this box: (simplify fractions and radicals, but don't use calculator) g. What is the value of cosî ? Write your answer within this box: (simplify fractions and radicals, but don't use calculator) h. What is the value of the resolved shear stress? Don't forget your units. Write your final answer within the box below: i. Will the crystal slip for this slip system, given the tensile stress direction and magnitude given above? Yes or No? Write your answer within this box: j. Why or why not? Write your answer within this box:
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