改进Biot固结理论移动网格有限元分析

为了提高饱和土固结数值分析结果的精度，提出了一种基于改进Biot固结理论的移动网格有限元分
析方法（FEM）.该方法在传统Biot固结控制方程组中引入土水势方程（SWP）和移动网格算法，根据虚功
原理和加权残值法推导了相应的增量有限元方程.通过算例分析研究了土水势方程和网格算法的影响.结果
表明： 改进理论的地基沉降和总土水势小于传统理论，而侧向位移大于传统理论.移动网格算法的各场变
量值小于固定网格算法.提出的方法在小变形理论范畴内能更好地模似地基固结性状.

Moving mesh finite element analysis of modified Biot's consolidation theory

For improving the precision of numerical analysis of saturated soils' consolidation, a new moving mesh finited-element method (FEM) based on modified Biot's consolidation theory was proposed. The method introduced soil-water potential (SWP) equation and moving mesh FEM into the governing equations of traditional Biot's consolidation theory. Based on the principle of virtual work and the method of weighted residuals, corresponding incremental FEM equations were formulated. A case study was carried out to investigate the influences of the SWP equation and mesh schemes. The results show that compared with the traditional theory, the settlement and the total SWP by modified theory are less, but lateral displacement is greater. The moving mesh FEM predicts field-variable with smaller value than the fixed mesh FEM. The presented method provides higher precision for simulating a foundation's consolidation performance within the framework of small strain theory.