Question

Which of the following is true for elastic potential energy density?

• A. Energy density = $1/2\times strain\times stress$
• B. Energy density = ${\left(strain\right)}^2\times volume$
• C. Energy density = $\left(strain\right)\times volume$
• D. Energy density = $\left(stress\right)\times volume$

Answer 1

Answer: (A)

Energy density = $1/2\times strain\times stress$

Elastic potential energy per unit volume is given by
$u=\frac{1}{2}\times stress\times strain$