饱和多孔介质耦合系统的变分原理

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Variational Principles of Fluid Full-Filled Elastic Solids

摘要: 本文采用变积方法,建立了等温准静态下饱和多孔介质的六类变量的广义变分原理.在此基础上,通过引入约束条件得到各级变分原理,其中包括五类变量,四类变量,三类变量和二类变量的变分原理.除得到文献中已有的变分原理外,本文给出了许多新的变分原理,为建立饱和多孔介质的有限元模型提供了基础.
- 饱和多孔介质 /
- 变积方法 /
- 变分原理 /
- 广义变分原理
Abstract: The generalized variational principles of isothermal quasi-static fluid full-filled elastic solids are established by using Variational Integral Method. Then by introducing constraints, several kinds of variational principles are worked out, including five-field variable,four-field variable, three-field variable and two-field variable formulations. Some new variational principles are presented besides the principles noted in the previous works. Based on variational principles, finite element models can be set up.
- fluid full-filled elastic solids /
- variational integral method /
- variational principles /
- generalized variational principles

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