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A finite element formulation for the coupled thermoviscoelastic response of solid–fluid systems
Author(s) -
Lévesque D.,
Bertrand L.
Publication year - 1990
Publication title -
international journal for numerical methods in engineering
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.421
H-Index - 168
eISSN - 1097-0207
pISSN - 0029-5981
DOI - 10.1002/nme.1620290504
Subject(s) - finite element method , laplace transform , viscoelasticity , mathematical analysis , mixed finite element method , mathematics , extended finite element method , displacement (psychology) , physics , thermodynamics , psychology , psychotherapist
The coupled thermoviscoelastic response of a solid–fluid system is computed by a finite element formulation which involves only temperature and displacement fields. The Laplace transform with respect to time is applied to the coupled equations. This results in a global matrix in the transform domain that is symmetric and banded and the time response is obtained by numerical inversion of the transformed solution. Also, this formulation permits the use of fractional derivatives to model viscoelastic material behaviour.