Abstract Based on the trial functions of displacement and excess pore water pressure satisfying the boundary conditions and the semi-analytical numerical technique,a semi-analytical numerical scheme of finite layer method for solving three-dimensional Biot?s consolidation of the anisotropic and layered soil with compressible constituents is presented. Moreover,by means of the orthogonality of the trigonometric functions series,the weighted residual equations are decoupled into several independence ones associated with different series modes. Based on a computer program developed for solving this problem,several numerical examples are given. The validity of the presented method is verified through a comparison between the numerical results and the classical solutions. Meanwhile,the influences of anisotropy of permeability,compressibility of pore fluid,transverse isotropy and characteristics of layered soil on the behaviors of three-dimensional Biot?s consolidation are demonstrated.
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Received: 26 September 2011
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