Nonlinear finite elements/Homework11/Solutions/Problem 1/Part 13

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Problem 1: Part 13: Trial elastic stress[edit | edit source]

Starting from equation (3) show that

where is the deviatoric part of and is the deviatoric part of .

From equation (3) we have

The deviatoric parts of the stress and strain are

Therefore,

Now,

Therefore,

Hence

This shows that