含液多孔介质力学问题的边界元方法  

Boundary element method for linear problems of fluid-saturated porous media

作　　者：黄拳章[1,2] 郑小平[1] 王彬[1] 王云[1] 姚振汉[1] 

机构地区：[1]清华大学工程力学系,北京100084 [2]西安高科技研究所201室,西安710025

出　　处：《计算力学学报》2011年第2期226-230,共5页Chinese Journal of Computational Mechanics

摘　　要：提出了一种含液多孔介质力学问题的边界元求解方法。首先将问题分解为一系列含单孔流体夹杂的子问题,然后针对每个子问题建立了流体孔体积变化率与流体压力之间的函数关系,进一步采用边界元方法建立了以各流体孔压力为基本未知量的线性代数方程组,最后根据所求出的各流体孔的压力计算含液多孔介质内各点的位移、变形和应力。为了说明方法的有效性,本文以平面应变问题为例,计算了不同流体夹杂体积比下介质的等效弹性模量,并且将计算结果与有关文献结果进行了对比分析。In this paper,a new method to solve the linear problem of fluid-saturated porous media is presented by using the boundary element method.Firstly,the whole problem can be decomposed into a series of similar sub-problems,each of which contains only one fluid inclusion.Furthermore,the relation between the fluid volume variation and pressure variation for each of the sub-problems can be obtained,and based on these relations,a set of algebraic equations dealing with the fluid pressure are constructed consequently.After solving the algebraic equations,all the fluid pressure in different pores as well as the displacement fields in the whole domain can be solved.In order to illustrate the applications of the presented method,one example of a plane strain problem is presented;and the effective elastic modulus is computed under different porosities,which shows good agreement with the results in the references.

关 键 词：含液多孔介质 边界元法 叠加原理 等效弹性模量 

分 类 号：O359.1[理学—流体力学]