The critical resolved shear stress for a metal is 35 MPa. Determine the maximum possible yield strength (in MPa) for a single crystal of this metal that is pulled in tension.

The maximum possible yield strength for a single crystal is 70 MPa.

Explanation:

To find the maximum possible yield strength for a single crystal we need to use the following equation:

Where:

is the maximum value for Schmid factor

is the critical resolved shear stress = 35 MPa

is the yield strength =?    

The Schmid factor is given by:

And its maximum value is obtained when λ = 45° and Φ = 45°, so:

Finally, the maximum possible yield strength is:

Therefore, the maximum possible yield strength for a single crystal is 70 MPa.

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