Hu Washizu principle

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In continuum mechanics, and in particular in finite element analysis, the Hu-Washizu principle is a variational principle which says that the action

\int_{V^e} \left[ \frac{1}{2} \epsilon^T C \epsilon - \sigma^T \epsilon + \sigma^T (DU) - \bar{p}^T u \right] dV - \int_{S_\sigma^e} \bar{T}^T u\ dS

is stationary, where C is the right Cauchy-Green deformation tensor. The Hu-Washizu principle is used to develop mixed finite element methods.

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