Three-dimensional non-axisymmetric Lamb's problem for saturated soil
type: Item
instance of: scholarly article
title: Three-dimensional non-axisymmetric Lamb's problem for saturated soil
zbMATH Open document ID: 0973.74031
DOI: 10.1007/BF02916889
author: R. Smith
published in: Science in China. Series E
publication date: 2000-11-16T00:00:00Z
review text: The authors present a solution to three-dimensional non-axisymmetric half-space problem for a two-component saturated material under vertical and horizontal surface forces. Applying Fourier expansion and Hankel transform to the equations of Biot's linear theory and taking into account both drained and undrained boundary conditions, the authors derive formal solutions (i.e., series expansions with coefficients in integral form) for the displacements. They also give a numerical example. The paper does not bring a new insight into applications of Biot's model.
Mathematics Subject Classification ID: 74F10
Mathematics Subject Classification ID: 74L10
Mathematics Subject Classification ID: 76S05
zbMATH DE Number: 1531240
zbMATH Keywords: non-axisymmetric Lamb's problem
zbMATH Keywords: integral solution
zbMATH Keywords: two-component saturated material
zbMATH Keywords: Fourier expansion
zbMATH Keywords: Hankel transform
zbMATH Keywords: Biot's linear theory
zbMATH Keywords: series expansions
zbMATH Keywords: displacements
reviewed by: Bettina Albers
MaRDI profile type: Publication
cites work: Mechanics of Deformation and Acoustic Propagation in Porous Media
cites work: Q3238949
cites work: Dynamic behaviour of saturated porous media; The generalized Biot formulation and its numerical solution
cites work: Simultaneous calculation of Fourier-Bessel transforms up to order N
full work available at URL: https://doi.org/10.1007/bf02916889
OpenAlex ID: W2353973393
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description: scientific article; zbMATH DE number 1531240