各向异性饱和土体的渗流耦合分析和数值模拟

COUPLING ANALYSES AND NUMERIC SIMULATIONS ON SEEPAGE FLOW IN ANISOTROPIC SATURATED SOILS

将饱和土体视为均质、连续的各向异性弹塑性多孔介质,根据虚位移原理推导出饱和土体内各向异性渗流直接耦合的有限元法计算公式。针对直接耦合法所生成的病态方程采用MATLAB语言编写出平面条件下的计算程序,对各向异性弹性多孔介质中Mandel效应进行数值模拟分析。计算结果验证了本文直接耦合有限元法的正确性和适用性。

Based on the principle of virtual displacements, the direct coupling formulae of FEM in the anisotropic saturated soils with the assumptions of homogeneous and continuous elasto-plastic porous media are derived. The FEM programs in MATLAB are implemented for the ill-posed equation which is formed in the direct coupling method. The comparisons between the computed and analytic results on the Mandel effect in the anisotropic elastic porous media are illustrated and the validity and applicability of the mentioned FEM are demonstrated.