Question 302: Properties of Matter

Question

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 $	imes$ 10
$-$4
is __________ kJ/m
3
. Assume that material is elastic upto the linear strain of 5 $	imes$ 10
$-$4
.
![](https://app-content.cdn.examgoal.net/fly/@width/image/1l5bpioc0/084c9f64-2719-42dc-8da3-a2dfe5545453/1d961b00-fe53-11ec-b169-b5046c590266/file-1l5bpioc1.png?format=png)

Accepted Answer

slope of strain $-$ stress curve given by $ = {{{{10}^{ - 10}}} \over {20}}$
for strain of $5 	imes {10^{ - 4}}$ stress is given by
$5 	imes {10^{ - 4}} = {{{{10}^{ - 10}}} \over {20}} 	imes $ stress
stress = 10
8
N/m
2
Energy density $ = {1 \over 2}$ $	imes$ strain $	imes$ stress
$ = {1 \over 2} 	imes 5 	imes {10^{ - 4}} 	imes {10^8}$
$ = 25000$ J/m
3
$ = 25$ kJ/m
3

Properties of Matter

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 .

Integer / Numeric Answer Type