An analysis of axisymmetric consolidation for transversely isotropic saturated soils
Sheng Chen
Abstract
Sheng Chen
Abstract
Based on Biot's general theory, the axisymmetric consolidation problems of transversely isotropic saturated soils are studied. By employing two state variables, the governing consolidation equations are reduced to a set of equivalent partial differential equations which can be solved by means of Hankel-Laplace integral transform technique. The general solutions for displacements and stress components of the solid matrix, the fluid pressure and discharge are obtained in integral form. At the end of this paper, the consolidation settlement of the transversely isotropic saturated soils is discussed and also a numerical result is presented.
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Based on Biot's general theory, the axisymmetric consolidation problems of transversely isotropic saturated soils are studied. By employing two state variables, the governing consolidation equations are reduced to a set of equivalent partial differential equations which can be solved by means of Hankel-Laplace integral transform technique. The general solutions for displacements and stress components of the solid matrix, the fluid pressure and discharge are obtained in integral form. At the end of this paper, the consolidation settlement of the transversely isotropic saturated soils is discussed and also a numerical result is presented.
Key concepts: Transverse isotropy, Consolidation (business), Biot number, Laplace transform, Rotational symmetry, Geotechnical engineering, Isotropy, Mathematics