contestada

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.

Respuesta :

Answer:

62 MPa

Explanation:

We are given that

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

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

Yield strength,[tex]\sigma_{yield}=\frac{\tau_{crit}}{cos\phi cos\gamma}[/tex]

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

[tex]\sigma_{yield}=\frac{\tau_{crit}}{cos45cos 45}=2\tau_{crit}[/tex]

Substitute the values

[tex]\sigma_{yield}=2\times 31=62 MPa[/tex]

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