Question

The elastic behavior of material for linear stress and linear strain, is shown in the figure. The energy density for a linear strain of 5×10–4 is ____ kJ/m3. Assume that material is elastic up to the linear strain of 5×10–4

Answer 1

$\mu_d = \frac{1}{2} \times \Upsilon \times (\text{strain})^2$

$\frac{1}{2} \times \left( \frac{20}{10^{ - 10} }\right) \times \left(5 \times 10^{-4}\right)^2$

= $10^{11} × 25 × 10^{–8}$
$= 25 × 10^3 J/m^3$
$= 25\ kJ/m^3$