The elastic energy per unit volume is terms of longitudinal strain `sigma` and Young's modulus `Y` is

Options

A. `(Ysigma^2)/(2)`
B. `(1)/(2)Ysigma`
C. `2Ysigma^2`
D. `2Ysigma`

Answer

A

Explanation

The elastic potential energy per unit volume
`=(1)/(2)str essxx"strain"=(1)/(2)Y"strain"xx"strain"`
`=(1)/(2)Y("strain")^2=(1)/(2)Ysigma^2`