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# Modulus of Resilience

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Equation / Last modified by EmilyB on 2016/08/15 16:24
`U_r = `

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The **Modulus of Resilience** is 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. The following formula is used: `U_r=sigma_y^2/(2E)`, where:

- `sigma_y` = yield strength
- `E` = Young's modulus

## References

Wikipedia (https://en.wikipedia.org/wiki/Resilience_(materials_science))