Compute the strain-hardening exponent (n) for an alloy in which a true stress of 415 MPa produces a true strain of 0.10; assume a value of 1035 MPa for K.

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Answer:

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Explanation:

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The strain hardening exponent for the given alloy is; n = 0.398

From the hollomon equation, we know that;

εⁿ = σ/K

Where;

ε is true strain

σ is true stress

K is a constant

n is strain hardening hardening exponent

Now we are given;

True strain; ε = 0.1

True stress; σ = 415 MPa

K = 1035 MPa

Thus, Plugging in the relevant values into the hollomon equation gives;

0.1ⁿ = 415/1035

0.1ⁿ = 0.4

Thus;

n In 0.1 = In 0.4

n = (In 0.4)/(In 0.1)

n = 0.398

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