岩土力学Issue(1)：25-34,10.
单层非饱和多孔介质一维瞬态响应半解析解
A semi-analytical solution for one-dimensional transient response of single-layer unsaturated porous media
摘要
Abstract
Based on the theory of unsaturated porous media proposed by Zienkiewicz, considering the inertia, viscous and mechanical couplings and the compressibility of fluid and solid particles, semi-analytical solutions for one-dimensional transient response of single-layer unsaturated porous media are obtained with the example of a typical boundary condition problem. During the solution procedure, the dimensionless displacement governing equations in matrix form are derived firstly. Then the the nonhomogeneous boundary conditions are transformed into homogeneous boundary conditions and the eigenvalue problems of the governing equations are solved. After that, the variation coefficient method and the orthogonality of the characteristics functions are utilized to obtain a series of ordinary differential equations with their initial conditions. Applying the precise time-integration method, the semi-analytical solutions of the ordinary differential equations are developed. Finally, several numerical examples are provided to prove the correctness of the present solution and investigate the features of one-dimensional transient response of unsaturated single-layer porous media. This method can be extended to any other boundary conditions.关键词
非饱和多孔介质/瞬态响应/半解析解/精细时程积分Key words
unsaturated porous media/transient response/semi-analytical solution/precise time-integration method分类
建筑与水利引用本文复制引用
凌道盛,王筠,单振东,丁皓江..单层非饱和多孔介质一维瞬态响应半解析解[J].岩土力学,2014,(1):25-34,10.基金项目
国家自然科学基金(No.51278451)；浙江省自然科学基金重点项目(No. LZ12E09001)。 （No.51278451）
