Question 280: 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/m3. Assume that material is elastic upto the linear strain of 5 $$	imes$$ 10$$-$$4.

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/m3. Assume that material is elastic upto the linear strain of 5 \times 10-$4.

Choose the correct answer: