Integral formulation and fundamental solutions of dynamic poroelasticity and thermoelasticity
type: Item
instance of: scholarly article
title: Integral formulation and fundamental solutions of dynamic poroelasticity and thermoelasticity
zbMATH Open document ID: 0664.73007
DOI: 10.1007/BF01175798
published in: Acta Mechanica
publication date: 1989-01-01T00:00:00Z
review text: A system of boundary integral equations is derived for Biot's full equations of dynamic poroelasticity in the Laplace transformed domain starting from first principles. These equations give the displacement vector in both the solid and fluid phases in terms of surface tractions and displacements, as well as in terms of any non-zero initial conditions and body forces. The fundamental solutions for instantaneous point body forces acting in each of the two phases are found in closed form by exploiting the use of four scalar potentials that reduce the problem to two decoupled second-order systems in the Laplace transformed domain. Finally, a parallel is drawn between dynamic poroelasticity and dynamic thermoelasticity by discovering analogies between the variables and material constants of each case.
Mathematics Subject Classification ID: 74S30
Mathematics Subject Classification ID: 74F05
Mathematics Subject Classification ID: 76S05
zbMATH DE Number: 4087133
zbMATH Keywords: system of boundary integral equations
zbMATH Keywords: Biot's full equations
zbMATH Keywords: Laplace transformed domain
author: George D. Manolis
author: D. E. Beskos
MaRDI profile type: Publication
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full work available at URL: https://doi.org/10.1007/bf01175798
OpenAlex ID: W4246214813
description: scientific article; zbMATH DE number 4087133