Analytical layer-element solutions of Biot's consolidation with anisotropic permeability and incompressible fluid and solid constituents

作者：Ai Zhi Yong^*; Cao Guo Jun; Cheng Yi Chong

来源：Applied Mathematical Modelling, 2012, 36(10): 4817-4829.

DOI：10.1016/j.apm.2011.12.017

• Analytical layer-element
• Biot's consolidation
• Anisotropic permeability
• Incompressible fluid and solid constituents
• Eigenvalue approach

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.

• 出版日期2012-10
• 单位同济大学