The toughness of a material is technically defined as the plastic strain energy absorbed by the material (the plastic region in the figure below). Practically speaking, it's a measure of how much deformation a material can undergo (or energy it can absorb) before failure.
Write a function to calculate the toughness of a material—the absorbed strain energy minus the resilience. This can be accomplished by combining the code written in problem 2 (resilience) and problem 6 (absorbed strain energy). Also, return the fraction of absorbed strain energy that the toughness represents.
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For test 4, I had to calculate the fraction as follows:
frac = (T-R)/T +.001 where R is the resilience of the material