摘要
从渗透各向异性三维Biot固结问题的基本控制方程出发,引入中间变量和Laplace-Fourier积分变换,构造出两组变换域内的状态方程,利用Cayley-Hamilton定理得到渗透各向异性单层地基三维Biot固结问题的传递矩阵;根据边界条件和层间连续条件,并结合传递矩阵的性质和Laplace-Fourier逆变换技术,从而求解出渗透各向异性层状地基三维Biot固结问题。此外,编制相应的程序,并将计算结果进行分析和比较,结果表明土体的渗透各向异性性质对固结过程有较显著的影响。
Starting with the governing equations for three-dimensional Biot＇ s consolidation, two sets of state equations in the Laplace-Fourier transformed domain are obtained using intermediate variables. The transfer matrix of a single soil layer is derived by employing the Cayley-Hamihon theory. According to the boundary conditions and the continuity conditions between layers, the solutions for three-dimensional Biot＇ s consolidation of layered soils with anisotropic permeability can be obtained by combining the properties of transfer matrix and inversion of the Laplace-Fourier transform. Numerical analysis is carried out, which indicates that the anisotropic permeability of soils may remarkably influence the process of consolidation.
出处
《土木工程学报》
EI
CSCD
北大核心
2011年第12期79-84,共6页
China Civil Engineering Journal
基金
国家自然科学基金(50578121)
关键词
渗透各向异性
三维Biot固结
层状地基
anisotropic permeability
three-dimensional Biot＇s consolidation
layered soils
