# Strain Energy

Written by Jerry Ratzlaff on . Posted in Classical Mechanics

Strain energy, abbreviated as U, is the energy stored in an elastic body of the material undergoing deformation.

## Strain Energy formula

 $$\large{ U = \frac{ 1 }{ 2 } \; \left( \frac{V}{E} \right) \; \sigma^2 }$$

### Where:

$$\large{ U }$$ = strain energy

$$\large{ \sigma }$$  (Greek symbol sigma) = stress

$$\large{ V }$$ = volume

$$\large{ E }$$ = Young's modulus