Boundary element calculation of transient response of viscoelastic solids based on inverse transformation
type: Item
instance of: scholarly article
title: Boundary element calculation of transient response of viscoelastic solids based on inverse transformation
zbMATH Open document ID: 0908.73085
DOI: 10.1023/A:1004206221365
published in: Meccanica
publication date: 1999-03-22T00:00:00Z
review text: The authors apply the boundary element method to mixed boundary and initial value problems of solid mechanics for bounded and unbounded domains. Linear elastodynamic equations of motion, with the boundary conditions and initial conditions, are cast into boundary integral equations. Viscoelastic constitutive behaviour is implemented by means of the Laplace transform technique based on an elastic-viscoelastic correspondence principle. The calculation of transient response requires time discretization and spatial discretization on the boundary only, thus reducing the problem dimension by one. As a numerical example, the authors study the impact response of a base plate bonded on a viscoelastic soil half-space.
reviewed by: Zbigniew Dżygadło
Mathematics Subject Classification ID: 74S15
Mathematics Subject Classification ID: 74S30
Mathematics Subject Classification ID: 74Hxx
zbMATH DE Number: 1093025
zbMATH Keywords: plate bonded on viscoelastic soil half space
zbMATH Keywords: Laplace transform
zbMATH Keywords: elastic-viscoelastic correspondence principle
zbMATH Keywords: impact response
author: Lothar Gaul
author: Martin Schanz
MaRDI profile type: Publication
description: scientific article; zbMATH DE number 1093025