The University of Southampton
University of Southampton Institutional Repository

A boundary element model for nonlinear viscoelasticity

A boundary element model for nonlinear viscoelasticity
A boundary element model for nonlinear viscoelasticity
The boundary element methodology is applied to the analysis of non-linear viscoelastic solids. The
adopted non-linear model uses the same relaxation moduli as the respective linear relations but with a time shift
depending on the volumetric strain. Nonlinearity introduces an irreducible domain integral into the original
integral equation derived for linear viscoelastic solids. This necessitates the evaluation of domain strains, which
relies on proper differentiation of an integral with a strong kernel singularity. A time domain formulation is
implemented through a numerical integration algorithm. The effectiveness of the developed numerical tool is
demonstrated through the analysis of a plate with a central crack. The results are compared with respective
predictions by the finite element method
polymers, viscoelasticity, non-linearity, fracture, boundary elements, singular integrals
Syngellakis, S.
1279f4e2-97ec-44dc-b4c2-28f5ac9c2f88
Wu, J.
5a0119e5-a760-4ff5-90b9-ec69926ce501
Syngellakis, S.
1279f4e2-97ec-44dc-b4c2-28f5ac9c2f88
Wu, J.
5a0119e5-a760-4ff5-90b9-ec69926ce501

Syngellakis, S. and Wu, J. (2009) A boundary element model for nonlinear viscoelasticity. Advances in Boundary Element Techniques X . Proc. of the 10th International Conference, Athens, Greece. 8 pp .

Record type: Conference or Workshop Item (Paper)

Abstract

The boundary element methodology is applied to the analysis of non-linear viscoelastic solids. The
adopted non-linear model uses the same relaxation moduli as the respective linear relations but with a time shift
depending on the volumetric strain. Nonlinearity introduces an irreducible domain integral into the original
integral equation derived for linear viscoelastic solids. This necessitates the evaluation of domain strains, which
relies on proper differentiation of an integral with a strong kernel singularity. A time domain formulation is
implemented through a numerical integration algorithm. The effectiveness of the developed numerical tool is
demonstrated through the analysis of a plate with a central crack. The results are compared with respective
predictions by the finite element method

Text
syng_09.pdf - Author's Original
Download (129kB)

More information

Published date: 2009
Venue - Dates: Advances in Boundary Element Techniques X . Proc. of the 10th International Conference, Athens, Greece, 2009-01-01
Keywords: polymers, viscoelasticity, non-linearity, fracture, boundary elements, singular integrals

Identifiers

Local EPrints ID: 146183
URI: http://eprints.soton.ac.uk/id/eprint/146183
PURE UUID: f8b313bf-3b4a-41d2-9b2d-4ca9b027b9ea

Catalogue record

Date deposited: 21 Apr 2010 15:49
Last modified: 14 Mar 2024 00:55

Export record

Contributors

Author: S. Syngellakis
Author: J. Wu

Download statistics

Downloads from ePrints over the past year. Other digital versions may also be available to download e.g. from the publisher's website.

View more statistics

Atom RSS 1.0 RSS 2.0

Contact ePrints Soton: eprints@soton.ac.uk

ePrints Soton supports OAI 2.0 with a base URL of http://eprints.soton.ac.uk/cgi/oai2

This repository has been built using EPrints software, developed at the University of Southampton, but available to everyone to use.

We use cookies to ensure that we give you the best experience on our website. If you continue without changing your settings, we will assume that you are happy to receive cookies on the University of Southampton website.

×