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首页> 外文期刊>Applied Mathematical Modelling >Analytical layer-element solutions of Biot's consolidation with anisotropic permeability and incompressible fluid and solid constituents
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Analytical layer-element solutions of Biot's consolidation with anisotropic permeability and incompressible fluid and solid constituents

机译：具有各向异性渗透率和不可压缩流体和固体成分的Biot固结的解析层元素解决方案

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摘要

Based on the governing equations of 2D plane-strain Biot's consolidation, the relationship between generalized displacements and stresses of a single soil layer with anisotropic permeability and incompressible fluid and solid constituents is described by an analytical layer-element, which is deduced in the Laplace-Fourier transform domain by using the eigenvalue approach. Taking the boundary conditions and the continuity of the soil layers into consideration, a global stiffness matrix is subsequently assembled and solved. As to the 3D case, the same derivation is employed after the application of a decoupling transformation. The actual solutions in the physical domain can further be acquired by inverting the Laplace-Fourier transform. Finally, numerical examples are carried out to verify the presented theory and discuss the influence of the anisotropic permeability on the consolidation behavior.
机译：根据二维平面应变Biot固结的控制方程，用解析层元素描述了具有各向异性渗透率的单个土层和不可压缩的流体和固体成分的广义位移和应力之间的关系。通过使用特征值方法进行傅立叶变换。考虑到边界条件和土层的连续性，随后组装并求解了整体刚度矩阵。对于3D情况，在应用去耦变换后采用相同的推导。物理领域中的实际解决方案可以通过反变换Laplace-Fourier变换来获取。最后，通过数值算例验证了所提出的理论，并讨论了各向异性渗透率对固结特性的影响。

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