Development of boundary element method to dynamic problems for porous media
type: Item
instance of: scholarly article
title: Development of boundary element method to dynamic problems for porous media
zbMATH Open document ID: 0583.76112
DOI: 10.1016/0307-904X(84)90042-8
author: Mircea Predeleanu
published in: Applied Mathematical Modelling
publication date: 1984-01-01T00:00:00Z
review text: Biot's consolidation theory is extended to a general class of viscoelastic bodies defined by Riemann-Stieltjes integral convolutions. From a new reciprocity theorem, proved for the governing equations including the inertia terms, the basic integral representations of the displacement fields and pore pressure are obtained. It is shown that, in the absence of internal inputs, a formulation of the dynamic problem in terms of the boundary unknown fields only is possible.
Mathematics Subject Classification ID: 76S05
Mathematics Subject Classification ID: 76A10
zbMATH DE Number: 3934677
zbMATH Keywords: fluid-saturated porous medium
zbMATH Keywords: Darcy equation
zbMATH Keywords: Green integral representation
zbMATH Keywords: Biot's consolidation theory
zbMATH Keywords: Riemann-Stieltjes integral convolutions
zbMATH Keywords: reciprocity theorem
zbMATH Keywords: inertia terms
zbMATH Keywords: pore pressure
zbMATH Keywords: absence of internal inputs
MaRDI profile type: Publication
cites work: Q5623447
cites work: Propagation of waves in a fluid-saturated porous elastic solid
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cites work: Q3905231
cites work: Q3892214
cites work: On the linear theory of viscoelasticity
cites work: Q5603141
description: scientific article; zbMATH DE number 3934677