考虑耦合质量影响的饱和多孔介质动力响应分析的显式有限元法

根据Biot饱和多孔介质动力方程，采用解耦技术，提出了考虑耦合质量Pd影响的饱和多孔介质中动力响应分析的显式有限元法。文中建立并推导了显式有限元的公式，编制了相应的计算程序并进行了实例计算。计算结果与解析解进行了对比，两者符合很好，表明本文方法是处理饱和多孔介质动力问题的一种有效方法。文中还分析了耦合质量ρa对固相和液相动位移的影响。

Dynamic analysis of fluid saturated porous media by using explicit finite element method considering the effects of coupling mass

An explicit finite element method considering the effect of coupling mass for dynamic analysis of fluid saturated porous media is developed.In the paper,the formulas of the explicit finite element are deduced,and the computer program is developed.The results show that the differences between the results of the explicit finite element method and the results of the analytical methods are very small and the accuracy is satisfactory.Application showed that the explicit finite element method developed in the paper is a very efficient method for dynamic analysis of fluid saturated porous media.The effects of coupling mass on the dynamic displacements of solid and liquid phase is also analyzed.It revealed that the coupling mass of fluid saturated porous media has some considerable effects on the dynamic displacements of the liquid phase,but no obvious effects on the dynamic displacements of solid phase.