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 × 10 - 4 is _____ kJ m - 3 . Assume that material is elastic upto the linear strain of 5 × 10 - 4 ,

Step-by-step solution

From the above graph, we can find that when the strain is 5 × 10 - 4 the stress is 100 MPa . We know that energy density is U = 1 2 × stress × strain ⇒ U = 1 2 × 100 × 10 6 × 5 × 10 - 4 ⇒ U = 2 . 5 × 10 4 J m - 3 = 25 kJ m - 3