饱和土体一维大变形固结理论新进展

New Developments of One Dimensional Large Strain Consolidation Theories

基于连续介质力学的基本原理，首次建立了以位移为控制变量物质描述和空间描述的一维大变形固结方程，给出了物质描述下一维大变形固结方程的一个近似解析解。同时进行几何和材料双非线性的一维固结有限元分析，其中，沉降计算结果还与近似解析解作比较，两者吻合较好。最后在有限元分析和近似解析解结果的基础上。

Based on the fundamental principles of nonlinear continuum mechanics, the one dimensional large strain consolidation equations are derived with the displacement as their variable by the material and spatial descriptions respectively. An approximate analytic solution of large strain consolidation equation by material description is obtained. The e-σ′ curve is introduced to define the modulus of compressibility into the program of nonlinear large strain consolidation analysis by FEM, and the change in permeability is also considered. The developments of the settlement, excess pore pressure and degree of consolidation in the process of consolidation are analyzed by different computational models, and the computed results of settlement are compared with that obtained by the approximate analytic solution. The results of the FEM are in good agreement with the approximate analytic solution. According to the computed results of the FEM and approximate analytic solution, the ratio of applied loading and elastic modulus, q/E is proposed to determine whether the large strain analysis is necessary.