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不可压流体饱和多孔介质的变分原理
引用本文:杨晓,何录武.不可压流体饱和多孔介质的变分原理[J].兰州大学学报(自然科学版),2003,39(6):24-28.
作者姓名:杨晓  何录武
作者单位:1. 上海大学,力学系,上海,200436
2. 华东理工大学,机械工程系,上海,200237
基金项目:Supported by National Natural Science Foundation of China( 1 0 2 72 0 70 ) and the Development Foundation of the Education Commission of Shanghai
摘    要:基于多孔介质理论,在小变形、固相骨架和流相不可压的假定下,建立了流体饱和多孔介质拟静态、动力响应的若下变分原理,本文的变分原理之一可容易退化为Gurtin变分原理。

关 键 词:多孔介质  变分原理  动力响应

Variational principles of fluid-saturated incompressible porous media
Abstract.Variational principles of fluid-saturated incompressible porous media[J].Journal of Lanzhou University(Natural Science),2003,39(6):24-28.
Authors:Abstract
Abstract:Based on the theory of porous media,several variational principles for the initial boundary value problems of dynamical and quasi-static responses of fluid-saturated elastic porous media are developed by assuming infinitesimal deformation and incompressible constitutes of solid and fluid phase. As a special case,Gurtin variational principle can be easily derived from one of these principles.
Keywords:porous media  variational principle  dynamic response
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