## Energy

To deform a part energy is required. The energy is the area under the stress strain curve seen in the figure below.

The Modulus of Resilience represents the energy under the elastic region, while the Modulus of Toughness represents the entire curve. To calculate the Modulus of Resilience equation 1 would be used. To calculate the Modulus of Toughness an experimental data set would need to be acquired, so that some form of integration like the trapezoidal rule could be used.

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