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On implicit constitutive relations for materials with fading memory
Type of publication: Article
Citation: Průša201222
Publication status: Published
Journal: Journal of Non-Newtonian Fluid Mechanics
Volume: 181–182
Year: 2012
Pages: 22-29
ISSN: 0377-0257
URL: http://www.sciencedirect.com/s...
DOI: 10.1016/j.jnnfm.2012.06.004
Abstract: Starting with an implicit constitutive relation between the stress and relative deformation gradient histories to describe the response of a fluid, and using the assumption of fading memory, we show that both rate type and differential type fluid representations can be obtained, as approximations in retarded motions, that have the same form as the Maxwell, Oldroyd-B, Rivlin–Ericksen, and other popular fluid models. This result provides further evidence that the recently proposed implicit constitutive framework provides a very robust and general methodology to describe fluid response. Thus, fluids defined through an implicit constitutive relation between the stress and relative deformation gradient histories can be seen as an appropriate generalization of the notion of simple fluids and rate type fluids.
Keywords: Convected coordinates, Implicit constitutive theory, viscoelastic fluids
Authors Průša, Vít
Rajagopal, K. R.
Added by: [JH]
Total mark: 0
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