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Title: Multipolar viscoelastic materials and the symmetry of the coefficients of viscosity (English)
Author: Šilhavý, Miroslav
Language: English
Journal: Applications of Mathematics
ISSN: 0862-7940 (print)
ISSN: 1572-9109 (online)
Volume: 37
Issue: 5
Year: 1992
Pages: 383-400
Summary lang: English
Category: math
Summary: The integral constitutive equations of a multipolar viscoelastic material are analyzed from the thermodynamic point of view. They are shown to be approximated by those of the differential-type viscous materials when the processes are slow. As a consequence of the thermodynamic compatibility of the viscoelastic model, the coefficients of viscosity of the approximate viscous model are shown to have an Onsager-type symmetry. This symmetry was employed earlier in the proof of the existence of solutions for the corresponding equations. (English)
Keyword: multipolar materials
Keyword: hereditary laws
Keyword: Onsager's relations
Keyword: integral constitutive equations
Keyword: differential-type viscous materials
Keyword: thermodynamic compatibility
Keyword: Onsager-type symmetry
MSC: 73B05
MSC: 73B25
MSC: 73B30
MSC: 73F99
MSC: 74A15
MSC: 74A20
MSC: 74D99
MSC: 76A10
idZBL: Zbl 0770.73031
idMR: MR1175932
DOI: 10.21136/AM.1992.104518
Date available: 2008-05-20T18:44:15Z
Last updated: 2020-07-28
Stable URL:
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