粘性流体两相多孔介质非线性动力问题的罚有限元法  

Penalty Finite Element Method for Nonlinear Dynamic Response of Viscous Fluid-Saturated Biphasic Porous Media

作　　者：严波[1] 张汝清[1] 

机构地区：[1]重庆大学建筑工程学院工程力学系,重庆400044

出　　处：《应用数学和力学》2000年第12期1247-1254,共8页Applied Mathematics and Mechanics

摘　　要：采用基于混合物理论的多孔介质模型 ,给出粘性流体饱和两相多孔介质非线性动力问题的控制场方程以及相应边值和初值问题的提法 ,用Galerkin加权残值法导出罚有限元公式 ,并给出该非线性方程组的迭代求解方法·　考虑了体积分数和渗透率与变形相关的情况·　用编制的有限元程序计算分析了一维多孔柱体在脉冲载荷作用下的瞬态响应 ,数值结果表明文中方法正确有效·The governing equations as well as boundary and initial conditions for nonlinear dynamic response problems of viscous fluid_saturated biphasic porous medium model, based on mixture theory, are presented. With Galerkin weighted residual method the corresponding nonlinear dynamic penalty finite element equation, in which the dependencies of volume fraction and permeation coefficients on deformation are included, is obtained. The iteration solution method of the nonlinear system equation is also discussed. As a numerical example, the dynamic response of a porous medium column under impulsive loading action is analyzed with the developed finite element program. The numerical results demonstrate the efficiency and correctness of the method.

关 键 词：粘性流体 两相多孔介质 非线性动力问题 罚有限元法 

分 类 号：O357[理学—流体力学]