The stressstrain diagram for a bone is shown and can be described by the equation where

Chapter 3, Problem 3-20

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The stress–strain diagram for a bone is shown and can be described by the equation \(\epsilon=0.45\left(10^{-6}\right) \sigma+0.36\left(10^{-12}\right) \sigma^{3}\) where \(\sigma\) is in kPa. Determine the modulus of toughness and the amount of elongation of a 200-mm-long region just before it fractures if failure occurs at \(\epsilon=0.12\) mm/mm.

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