The elastic behaviour of material for linear stress and linear strain, is shown in the figure. The energy density for a linear strain of $5 \times 10^{- 4}$ is _____ $kJ m^{- 3}$ . Assume that material is elastic upto the linear strain of $5 \times 10^{- 4}$ ,

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From the above graph, we can find that when the strain is $5 \times 10^{- 4}$ the stress is $100 MPa$ . We know that energy density is

$U = \frac{1}{2} \times stress \times strain$ $\Rightarrow U = \frac{1}{2} \times 100 \times 10^{6} \times 5 \times 10^{- 4}$

$\Rightarrow U = 2.5 \times 10^{4} J m^{- 3} = 25 kJ m^{- 3}$

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