| 饱和多孔介质耦合系统的变分原理 |
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| 引用本文： | 石志飞,黄淑萍,章梓茂. 饱和多孔介质耦合系统的变分原理[J]. 应用数学和力学, 1999, 20(3): 249-255 |
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| 作者姓名： | 石志飞 黄淑萍 章梓茂 |
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| 作者单位： | 北方交通大学土建学院, 北京 100044 |
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| 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.
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| 关 键 词： | 饱和多孔介质 变积方法 变分原理 广义变分原理 |
| 收稿时间： | 1998-06-30 |
| 修稿时间： | 1998-06-30 |
Variational Principles of Fluid Full-Filled Elastic Solids |
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| Shi Zhifei,Huang Shuping,Zhang Zimao. Variational Principles of Fluid Full-Filled Elastic Solids[J]. Applied Mathematics and Mechanics, 1999, 20(3): 249-255 |
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| Authors: | Shi Zhifei Huang Shuping Zhang Zimao |
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| Affiliation: | Northern Jiaotong University, Beijing 100044, P. R. China |
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| 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. |
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| Keywords: | fluid full_filled elastic solids variational integral method variational principles generalized variational principles |
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