Nonlinear finite elements/Homework11/Solutions/Problem 1/Part 5

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Problem 1: Part 5: Consistency condition - 1[edit | edit source]

Use the consistency condition and the expressions you have derived in the previous parts to derive an expression for in terms of , , , , and .

From the consistency condition

From the previous parts

Plug into the consistency condition to get

Collect terms containing :

Therefore,