饱和–非饱和介质水–应力耦合弹塑性二维有限元分析

从建立应力平衡方程、水连续性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–非饱和孔隙介质中水–应力耦合弹塑性问题的二维有限元程序。通过引入一组特定的与非饱和状态有关的计算公式,对一个假定的非饱和土体中水–应力耦合问题进行了数值计算,考察了不同时间土体中的位移、孔隙水压力、有效主应力、流速和塑性区的分布,定性验证了该程序的正确性。

2D ELASTOPLASTIC FINITE ELEMENT ANALYSIS FOR COUPLED HYDRO-MECHANICAL PROCESSES IN SATURATED-UNSATURATED MEDIA

The stress equilibrium equation,the continuity equation for water and the elastoplastic matrix are established.By using the Galerkin method,all the governing equations are discretized in the space domain and time domain respectively;and a two-dimensional FEM code for coupled hydro-mechanical elastoplastic analysis of saturated-unsaturated porous medium is developed.By introducing one set of special computation equations related to the unsaturated state,a numerical computation is carried out for the assumed coupled hydro-mechanical problem in an unsaturated soil body.The displacements,the pore pressures,the effective principal stresses,the flow velocities and the plastic zones at different times in the soil body are investigated;and the validity of the code is tested and verified qualitatively.