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The area under the linear portion of a stress-strain curve is the resilience of the material Resilience is the ability of a material to absorb energy when it is deformed elastically, and release that energy upon unloading. The modulus of resilience is defined as the maximum energy that can be absorbed per unit volume without creating a permanent distortion. It can be calculated by integrating the stress-strain curve from zero to the elastic limit. In uniaxial tension,

U_{r}= \frac{\sigma_{y}^2}{2E}

where Ur is the modulus of resilience, y is the yield strength, and E is the Young's modulus.[1]


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