多层饱和地基三维Biot固结问题的一个理论解  

A Solution of Three Dimensional Biot Consolidation of Multi-layered Soils

作　　者：艾智勇[1] 成志勇[1] 赵锡宏[1] 

机构地区：[1]同济大学地下建筑与工程系,岩土及地下工程教育部重点实验室,上海200092

出　　处：《地下空间与工程学报》2008年第2期295-301,350,共8页Chinese Journal of Underground Space and Engineering

基　　金：国家自然科学基金资助项目(项目批准号:50578121)

摘　　要：从直角坐标系下三维饱和弹性土体的控制方程出发,通过引入中间变量和积分变换,构造出一组有6个参量的状态方程和一组有2个参量的状态方程,求得单层土B iot固结问题的传递矩阵;将传递矩阵应用于多层体系中的每一层,结合边界条件和连续条件,得到多层土B iot固结问题变换域内的解;通过相应的积分逆变换,求得该问题物理域的真实解。同时,对求得的解进行分析以验证其正确性。Based on the governing equations of saturated poro -elastic soil in the rectangular coordinate system, two sets of state equations comprised of 6 variables and 2 variables are obtained by introducing intermediate variables and integral transforms, respectively. Then the transfer matrix is derived by solving the state equations of saturated poro - elastic soil. By applying transfer matrix method to each layer of the soil system combined with the continuity conditions of adjacent layers and boundary conditions, the solution of muhilayered soils in the transform domain is acquired. At last, the solution in physical domain can be obtained by inverting the integral transforms. A numerical a- nalysis is carried out for three-dimensional consolidation of single and multi-layered soils, and the results for single layered soils are compared with those by the finite layer method in the literature.

关 键 词：多层地基 传递矩阵 积分变换 BIOT固结 理论解 

分 类 号：TU47[建筑科学—结构工程]