Nonlinear finite elements/Homework 11/Solutions/Problem 1/Part 3

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Problem 1: Part 3: Rate form constitutive relation[edit | edit source]

Write down the rate form of the elastic stress-strain law. Assume that deformations are small so that objectivity of the rates is not a concern.

The rate form of the elastic constitutive equation is

Plugging in the expression for we get