A New Analytical Solution for Axisymmetric Biot’s Consolidation of a Finite Soil Layer

AI Zhi-yong; WANG Quan-sheng

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Article Navigation > Applied Mathematics and Mechanics > 2008 > 29(12): 1472-1478

AI Zhi-yong, WANG Quan-sheng. A New Analytical Solution for Axisymmetric Biot’s Consolidation of a Finite Soil Layer[J]. Applied Mathematics and Mechanics, 2008, 29(12): 1472-1478.

Citation:

AI Zhi-yong, WANG Quan-sheng. A New Analytical Solution for Axisymmetric Biot’s Consolidation of a Finite Soil Layer[J]. Applied Mathematics and Mechanics, 2008, 29(12): 1472-1478.

Citation:

AI Zhi-yong, WANG Quan-sheng. A New Analytical Solution for Axisymmetric Biot’s Consolidation of a Finite Soil Layer[J]. Applied Mathematics and Mechanics, 2008, 29(12): 1472-1478.

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A New Analytical Solution for Axisymmetric Biot’s Consolidation of a Finite Soil Layer

Department of Geotechnical Engineering;Key Laboratory of Geotechnical and Underground Engineering of Ministry of Education, Tongji University, Shanghai 200092, P. R. China

Received Date: 2008-06-15
Rev Recd Date: 2008-10-27
Publish Date: 2008-12-15

Abstract

Abstract

A new analytical method is presented to study the axis-symmetric Biot's consolidation of a finite soil layer.Starting from the governing equations of axis-symmetric Biot's consolidation,and based on the property of the Laplace transform,the relationship of basic variables for a point of a finite soil layer was established between the ground surface(z=0) and the depth z in the Laplace and Hankel transform domain.Combined with the boundary conditions of the finite soil layer,the analytical solution of any point in the transform domain can be obtained.The actual solution in the physical domain can be acquired by inverting the Laplace and the Hankel transforms.The numerical analysis for the axis-symmetric consolidation of a finite soil layer was carried out by program.
- axisymmetric Biot’s consolidation,
- finite soil layer,
- Laplace transform,
- Hankel transform

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References(13)

References

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