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Plane Strain Biot's Consolidation of Multi-Layered Soils with Compressible Constituents
Transfer matrix method has an obvious advantage that the size of the final equation system is independent of the number of the layered systems. Hence, this method is more efficient and accurate. For example, a two-dimensional elastostatics of plane strain problem can be solved just using 2 x 2 linear equations. In this study, transfer matrix method is extended and used to plane strain Biot's consolidation of multi-layered soils with compressible constituents. From the governing differential equations of a porous medium filled with a compressible pore fluid, and combined with Laplace-Fourier transforms and extended McNamee-Gibson displacement functions, the relationship of displacements, stresses, excess pore water pressure, and flux for arbitrary two horizontal planes is established in the Laplace-Fourier transforms domain. Based on the continuity conditions between adjacent layers and the boundary conditions of the layered soil system, the transfer matrix method is utilized to derive the solutions for plane strain Biot's consolidation problem of multi-layered soils in the transformed domain. The solutions in the physical domain can be acquired by inverting the Laplace-Fourier transforms. Numerical analysis has been performed, and the feasibility and accuracy of the proposed method in this study are validated against existing results.
Plane Strain Biot's Consolidation of Multi-Layered Soils with Compressible Constituents
Transfer matrix method has an obvious advantage that the size of the final equation system is independent of the number of the layered systems. Hence, this method is more efficient and accurate. For example, a two-dimensional elastostatics of plane strain problem can be solved just using 2 x 2 linear equations. In this study, transfer matrix method is extended and used to plane strain Biot's consolidation of multi-layered soils with compressible constituents. From the governing differential equations of a porous medium filled with a compressible pore fluid, and combined with Laplace-Fourier transforms and extended McNamee-Gibson displacement functions, the relationship of displacements, stresses, excess pore water pressure, and flux for arbitrary two horizontal planes is established in the Laplace-Fourier transforms domain. Based on the continuity conditions between adjacent layers and the boundary conditions of the layered soil system, the transfer matrix method is utilized to derive the solutions for plane strain Biot's consolidation problem of multi-layered soils in the transformed domain. The solutions in the physical domain can be acquired by inverting the Laplace-Fourier transforms. Numerical analysis has been performed, and the feasibility and accuracy of the proposed method in this study are validated against existing results.
Plane Strain Biot's Consolidation of Multi-Layered Soils with Compressible Constituents
Ai, Zhi Yong (author) / Cheng, Zhi Yong (author)
GeoCongress 2008 ; 2008 ; New Orleans, Louisiana, United States
GeoCongress 2008 ; 702-709
2008-03-07
Conference paper
Electronic Resource
English
Plane Strain Biot's Consolidation of Multi-Layered Soils with Compressible Constituents
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