Multiple choice

The ultimate tensile strength of a material is 400 MPa and the elongation up to maximum load is 35%. If the material obeys power law of hardening, then the true stress-true strain relation (stress in MPa) in the plastic deformation range is

  1. $\sigma=540\in ^{0.30}$
  2. $\sigma=775\in ^{0.30}$
  3. $\sigma=540\in ^{0.35}$
  4. $\sigma=775\in^{0.35}$
Reveal answer Fill a bubble to check yourself
B Correct answer
Explanation

$\hspace{5cm}\sigma=K\epsilon^n\hspace{9cm}...(i)\\ \hspace{5cm}K=\frac{\sigma}{\epsilon^n}=\frac{540}{(0.30)^{0.30}}=7774.92\simeq775\\ So,\text{From equation (i)}\hspace{0.7cm} \sigma=775\epsilon ^{0.3} $

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