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
2009
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
.
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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
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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
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Local EPrints ID: 146183
URI: http://eprints.soton.ac.uk/id/eprint/146183
PURE UUID: f8b313bf-3b4a-41d2-9b2d-4ca9b027b9ea
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Date deposited: 21 Apr 2010 15:49
Last modified: 14 Mar 2024 00:55
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Contributors
Author:
S. Syngellakis
Author:
J. Wu
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