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Extra stress tensor in fiber suspensions: Mechanics and thermodynamics

hal.structure.identifierÉcole Polytechnique de Montréal [EPM]
dc.contributor.authorGRMELA, Miroslav
hal.structure.identifierLaboratoire Angevin de Mécanique, Procédés et InnovAtion [LAMPA]
dc.contributor.authorAMMAR, Amine
hal.structure.identifierInstitut de Recherche en Génie Civil et Mécanique [GeM]
dc.contributor.authorCHINESTA, Francisco
dc.date.accessioned2021-05-14T09:51:02Z
dc.date.available2021-05-14T09:51:02Z
dc.date.issued2011
dc.identifier.issn0148-6055
dc.identifier.urihttps://oskar-bordeaux.fr/handle/20.500.12278/77345
dc.description.abstractEnFormulas expressing the extra stress tensor, $\boldsymbol\sigma$, in fiber suspensions in terms of microstructural state variables are derived by using two types of arguments: mechanical and thermodynamical. Results are compared for the distribution function ($\psi$) and the orientation tensor, $\mathbf A$, playing the role of state variables. The main results are the following: (i) In the thermodynamical analysis the formulas arise as compatibility conditions between the time evolution of the fluid velocity and the time evolution of the internal structure. (ii) A complete agreement among the formulas arising in mechanics and thermodynamics is seen only in kinetic theory (i.e. with $\psi$ as the state variable) and only with the Chan-Terentjev mechanical formula. (iii) Theoretical arguments as well as numerical illustrations indicate that the larger is the role of the reversible part of the time evolution of the microstructure the larger is the difference in predicted stresses (i.e. the formulas for $\boldsymbol \sigma$ evaluated at solutions of the microstructural equations) calculated with the thermodynamic and the Dinh-Armstrong mechanical formulas.
dc.language.isoen
dc.publisherAmerican Institute of Physics
dc.rights.urihttp://hal.archives-ouvertes.fr/licences/publicDomain/
dc.subject.enSuspensions
dc.subject.enKinetic theory
dc.subject.enFree energy
dc.subject.enTensor methods
dc.subject.enCumulative distribution functions
dc.title.enExtra stress tensor in fiber suspensions: Mechanics and thermodynamics
dc.typeArticle de revue
dc.identifier.doi10.1122/1.3523538
dc.subject.halSciences de l'ingénieur [physics]
bordeaux.journalJournal of Rheology
bordeaux.page17-42
bordeaux.volume55
bordeaux.hal.laboratoriesInstitut de Mécanique et d’Ingénierie de Bordeaux (I2M) - UMR 5295*
bordeaux.institutionUniversité de Bordeaux
bordeaux.institutionBordeaux INP
bordeaux.institutionCNRS
bordeaux.institutionINRAE
bordeaux.institutionArts et Métiers
bordeaux.peerReviewedoui
hal.identifierhal-01516400
hal.version1
hal.origin.linkhttps://hal.archives-ouvertes.fr//hal-01516400v1
bordeaux.COinSctx_ver=Z39.88-2004&rft_val_fmt=info:ofi/fmt:kev:mtx:journal&rft.jtitle=Journal%20of%20Rheology&rft.date=2011&rft.volume=55&rft.spage=17-42&rft.epage=17-42&rft.eissn=0148-6055&rft.issn=0148-6055&rft.au=GRMELA,%20Miroslav&AMMAR,%20Amine&CHINESTA,%20Francisco&rft.genre=article


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