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.
- Seminar archive
- Recent seminars
- Seminars
Seminars (3)
-
Séminaire PMMH - Avin Babataheri (Ladhyx)
Vendredi 20 septembre de 11h00 à 12h00 - Salle réunion PMMH 1
1D confinement controls cell shape and migration
Pericytes are mural cells of the microvasculature, they wrap around small vessels, support the vessels mechanically and participate in blood flow regulation. Pericytes are distinguished by two main characteristics ; first their distinct morphology, which has been likened to a “bump on a log”, as they present long (...) -
Séminaire PMMH - Avin Babataheri (Ladhyx)
Vendredi 20 septembre de 11h00 à 12h00 - Salle réunion PMMH 1
1D confinement controls cell shape and migration
Pericytes are mural cells of the microvasculature, they wrap around small vessels, support the vessels mechanically and participate in blood flow regulation. Pericytes are distinguished by two main characteristics ; first their distinct morphology, which has been likened to a “bump on a log”, as they present long (...) -
Séminaire PMMH - Denis Dumont (IUSTI Marseille)
Vendredi 29 novembre de 11h00 à 12h00 - Salle réunion PMMH 1
Rheology of sticky grains
In many powder technology processes, coating is applied to fine particles to control their properties or functionalize them. We investigated the role of a polymer coating made of PBS on silica beads. This material has been originally designed as a model cohesive granular material, whose cohesion can be finely (...)
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)
