ESPCI web site
PMMH’s weekly seminar is held every Friday at 11 am (map)
Sylvain Patinet
Stéphane Perrard
Etienne Reyssat
Virgile Thiévenaz
PMMH
BARRE CASSAN
BAT A 1ER ETAGE CASE 18
7 QUAI SAINT BERNARD
75005 PARIS
France
Tel : (33) 1 40 79 45 22
Séminaire PMMH - Souhayl Sadik from (Aarhus University)
Nonlinear Anisotropic Viscoelasticity
In this work, we revisit the mathematical foundations of nonlinear viscoelasticity. We study the un-
derlying geometry of viscoelastic deformations, and in particular, the intermediate configuration. Starting from the direct multiplicative decomposition of the deformation gradient F = FeFv, into elastic and viscous distortions Fe and Fv, respectively, we point out that Fv can be either a material tensor (Fe is a two-point tensor) or a two-point tensor ( Fe is a spatial tensor). We show, based on physical grounds, that the second choice is unacceptable. It is assumed that the free energy density is the sum of an equilibrium and a non-equilibrium part. The symmetry transformations and their action on the total, elastic, and viscous deformation gradients are carefully discussed. Following a two-potential approach, the governing equations of nonlinear viscoelasticity are derived using the Lagrange–d'Alembert principle, and the constitutive relations are found following the thermodynamics Coleman-Noll procedure. We discuss the constitutive and kinetic equations for compressible and incompressible isotropic, transversely isotropic, orthotropic, and monoclinic viscoelastic solids. We finally semi-analytically study creep and relaxation in three examples of universal deformations.
Keywords : Nonlinear viscoelasticity, multiplicative decomposition, intermediate configuration, anisotropic solids.
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Seminars (5)
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Séminaire PMMH - Ludovic Berthier, Gulliver
Vendredi 24 janvier 2025 de 11h00 à 12h00 - Salle réunion PMMH 1
Emerging active turbulence and chaotic advection in dense active matter
I will show that active mesoscale flows, a.k.a. active turbulence, leading to chaotic advection generically emerge in simple models of active particles leading to streams and vortices reminiscent of multiscale flow patterns in turbulence. The characteristics of these flows do not depend on the specific details of (...) -
Séminaire PMMH - Elisabeth Lemaire (INPHYNI, Nice)
Vendredi 31 janvier 2025 de 11h00 à 12h00 - Salle réunion PMMH 1
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Séminaire PMMH - Chandan Bose (Univ. Birmingham)
Vendredi 7 février 2025 de 11h00 à 12h00 - Salle réunion PMMH 1
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Séminaire PMMH - Christophe Denoual, CEA
Vendredi 14 février 2025 de 11h00 à 12h00 - Salle réunion PMMH 1
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Séminaire PMMH - Christophe Denoual, CEA
Vendredi 14 février 2025 de 11h00 à 12h00 - Salle réunion PMMH 1
The audience is composed of people with rather heterogeneous backgrounds including specialists in solids, fluids, granular flows, statistical physics... so the idea is to keep your talk understandable by people not necessarily working in your field... The seminar time slot runs from 11am to noon so the best is to make the talk last around 45 minutes to leave some time for discussion.
- Séminaires ESPCI-ENS de biophysique
- Séminaires du Département de Physique de l’ENS
- Séminaires du Laboratoire d’Hydrodynamique de l’X
- Séminaire de Mécanique d’Orsay (page web FAST)
- Séminaire de Mécanique d’Orsay (page web LIMSI)
- Séminaire de Mécanique des Fluides de l’Institut Jean le Rond d’Alembert
- Séminaires du laboratoire MSC, Paris VII
- Séminaires Gulliver
Link to cofee seminar (internal, every Thursday)
