The critical resolved shear stress for a metal is 31 MPa. Determine the maximum possible yield strength (in MPa) for a single crystal of thi

Question

The critical resolved shear stress for a metal is 31 MPa. Determine the maximum possible yield strength (in MPa) for a single crystal of this metal that is pulled in tension.

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Dulcie 4 years 2021-08-02T19:30:22+00:00 1 Answers 37 views 0

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  1. Amity
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    2021-08-02T19:32:10+00:00
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    Answer:

    62 MPa

    Explanation:

    We are given that

    Critical resolved shear stress for a metal,\tau_{crit}=31MPa

    We have to find the maximum possible yield strength for a single crystal of this metal that is pulled in tension.

    Yield strength,\sigma_{yield}=\frac{\tau_{crit}}{cos\phi cos\gamma}

    Minimum stress is necessary to introduce yielding  when \phi=\gamma=45^{\circ}

    \sigma_{yield}=\frac{\tau_{crit}}{cos45cos 45}=2\tau_{crit}

    Substitute the values

    \sigma_{yield}=2\times 31=62 MPa

    Hence, the maximum possible yield strength for a single crystal of this metal that is pulled in tension=62 MPa

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