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# Resilience

[ri-zil-yuhns, -zil-ee-uhns]
Resilience is the property of a material to absorb energy when it is deformed elastically and then, upon unloading to have this energy recovered. In other words, it is the maximum energy per volume that can be elastically stored. It is represented by the area under the curve in the elastic region in the Stress-Strain diagram.

Modulus of Resilience, $U_r$, can be calculated using the following formula: $U_r=frac\left\{sigma^2\right\}\left\{2E\right\}=0.5sigmaepsilon=0.5 sigma\left(frac\left\{sigma\right\}\left\{E\right\}\right)$, where $sigma$ is yield stress, E is Young's modulus, and $epsilon$ is strain.

An example of a biomaterial which has a high resilience is articular cartilage, the substance lining the ends of bones in articulating joints such as the knee and hip.