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Define resilience in brief

Short answer

Resilience is the capacity to store strain energy within the elastic limit and release it on unloading, measured by the area under the elastic stress‑strain curve. Its modulus is (elastic limit stress) squared divided by (2 × Young's modulus), with units of J/m³; steel springs exhibit high resilience.

Define resilience as a property of materials.

Resilience is the capacity of a material to store strain energy when deformed within the elastic limit and to give it back on unloading. It is measured by the area under the elastic part of the stress-strain curve.

Modulus of resilience=σe22E\text{Modulus of resilience} = \frac{\sigma_e^2}{2E}

where σe\sigma_e is the stress at the elastic limit (or proof stress) and EE is Young's modulus. Its unit is N/mm2\text{N/mm}^2 (N·mm/mm3^3) or J/m3^3. Steel springs have high resilience.

✓ Answer checked by Claude Opus 5.5 (high effort)

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