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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 porous media model based on mixture theory is used to give the governing field equations and the corresponding boundary value and initial value problems for the nonlinear dynamic problem of viscous fluid saturated porous media. The penalty finite element formula is derived by Galerkin weighted residual method, And gives the iterative method to solve the nonlinear equations. Considering the relationship between volume fraction and permeability and deformation, the transient response of one-dimensional porous cylinder under impulsive loads is calculated and analyzed by the finite element program. Numerical results show that the method is correct and effective