On implicit constitutive relations for materials with fading memory

Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F00216208%3A11320%2F12%3A10126033" target="_blank" >RIV/00216208:11320/12:10126033 - isvavai.cz</a>
Result on the web
<a href="http://dx.doi.org/10.1016/j.jnnfm.2012.06.004" target="_blank" >http://dx.doi.org/10.1016/j.jnnfm.2012.06.004</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1016/j.jnnfm.2012.06.004" target="_blank" >10.1016/j.jnnfm.2012.06.004</a>

Result language
angličtina
Original language name
On implicit constitutive relations for materials with fading memory
Original language description
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 generalizationof the notion of simple fluids and rate type fluids. (C) 2012 Published by Elsevier B.V.
Czech name
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Czech description
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Type
J<sub>x</sub> - Unclassified - Peer-reviewed scientific article (Jimp, Jsc and Jost)
CEP classification
BK - Liquid mechanics
OECD FORD branch
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Project
<a href="/en/project/GPP101%2F12%2FP074" target="_blank" >GPP101/12/P074: Behaviour of incompressible fluid-like materials with pressure dependent material moduli</a><br>
Continuities
P - Projekt vyzkumu a vyvoje financovany z verejnych zdroju (s odkazem do CEP)<br>I - Institucionalni podpora na dlouhodoby koncepcni rozvoj vyzkumne organizace

Publication year
2012
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

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