# Resilience Modulus

Written by Jerry Ratzlaff on . Posted in Classical Mechanics

Resilience modulus, abbreviated as $$\mu$$ (Greek symbol mu), also called modulus of resilience, is the amount of energy a material can absorb and still return to its origional shape.

## Resilience Modulus Formula

$$\large{ \mu = \frac{ \sigma^2 }{ 2 \; E } }$$
Symbol English Metric
$$\large{ \mu }$$  (Greek symbol mu) = resilience modulus $$\large{\frac{lbf}{in^2}}$$  $$\large{N}$$
$$\large{ \sigma }$$  (Greek symbol sigma) = yield strength $$\large{\frac{lbf}{in^2}}$$ $$\large{Pa}$$
$$\large{ E }$$ = Young's modulus $$\large{\frac{lbf}{in^2}}$$ $$\large{N}$$