Hu–Washizu principle
In continuum mechanics, and in particular in finite element analysis, the Hu-Washizu principle is a variational principle which says that the action
![{\displaystyle \int _{V^{e}}\left[{\frac {1}{2}}\epsilon ^{T}C\epsilon -\sigma ^{T}\epsilon +\sigma ^{T}(\nabla u)-{\bar {p}}^{T}u\right]dV-\int _{S_{\sigma }^{e}}{\bar {T}}^{T}u\ dS}](https://wikimedia.org/api/rest_v1/media/math/render/svg/0c23c573ea9b14f18a5db311b742c2109b70d545)
is stationary, where 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 K. Washizu.
References
- ^ Jihuan, He (June 1997). "Equivalent theorem of Hellinger-Reissner and Hu-Washizu variational principles". Journal of Shanghai University. 1 (1). Shanghai University Press. ISSN 1007-6417. Retrieved 2009-09-22.
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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