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Consider a metal single crystal oriented such that the normal to the slip plane and the slip direction are at angles of 60 and 35, respectively, with the tensile axis. If the critical resolved shear stress is 6.2 MPa (900 psi), will an applied stress of 12 MPa (1750 psi) cause the single crystal to yield

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Answer:

The answer is NO. applied stress if 12MPa will not cause the single crystal to yield.

Explanation:

Given ;

Ф = [tex]60^{0}[/tex]

∧ = [tex]35^{0}[/tex]

critical resolved shear stress = 6.2MPa

Applied stress = 12MPa

[tex]Z_{R}[/tex] = cosФ cos∧ = 12 * cos[tex]60^{0}[/tex] * cos [tex]35^{0}[/tex]

= 12* 0.5 * 0.8191

= 4 . 9146MPa

The resolved shear stress (4.9146MPa) is lee than the critical resolved shear stress which is 6.2MPa. therefore, the single critical will not yield.

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