Английская Википедия: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

<math>\int_{V^e} \left[ \frac{1}{2} \varepsilon^T C \varepsilon - \sigma^T \varepsilon + \sigma^T (\nabla u) - \bar{p}^T u \right] dV - \int_{S_\sigma^e} \bar{T}^T u\ dS</math>

is stationary, where <math>C</math> is the elastic stiffness tensor. The Hu–Washizu principle is used to develop mixed finite element methods.[1] The principle is named after Hu Haichang and Kyūichirō Washizu.

References

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Further reading

  • K. Washizu: Variational Methods in Elasticity & Plasticity, Pergamon Press, New York, 3rd edition (1982)
  • O. C. Zienkiewicz, R. L. Taylor, J. Z. Zhu : The Finite Element Method: Its Basis and Fundamentals, Butterworth–Heinemann, (2005).

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