热—水—应力耦合弹塑性二维有限元程序的研制

Development of 2D FEM Code for Coupled Thermo-hydro-mechanicalelastoplastic Analysis

从建立应力平衡方程、水连续性方程、能量守恒方程和弹塑性矩阵入手,使用Galerkin方法,将各控制方程分别在空间域和时间域进行离散,初步开发出了一个用于分析饱和岩土介质中热—水—应力耦台弹塑性问题的二维有限元程序。通过一维固结问题的有限元解与太沙基解析解的对比,以及对一个简单的热—水—应力耦合问题的数值计算,验证了本程序的正确性。

In this paper,firstly the momentum equilibriium equation,the continuity equation for water,the energy balance equation and the elastoplastic matrix are established.Secondly by using the Galerkin method all the governing equations are discretized in the space domain and in the time domain respectively,then a 2D FEM code for coupled thermohydromechanical elastoplastic analysis of saturated porous medium is developed tentatvely.Through comparison of the FEM result and the Terzaghi solution for onedimensional problem,and the numerical analysis for a simple coupled thermohydromechanical phenomena,the validity of the code is tested and verified.