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
Recent seminars (9)
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Séminaire PMMH – Joseph Ackerman (Lab. Jean Perrin, Sorbonne Université)
Vendredi 20 décembre de 11h00 à 12h00 - Salle réunion PMMH 1
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Séminaire PMMH – Joseph Ackerman (Lab. Jean Perrin, Sorbonne Université)
Vendredi 20 décembre de 11h00 à 12h00 - Salle réunion PMMH 1
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Séminaire PMMH - Hughes Chaté (CEA Saclay)
Vendredi 13 décembre de 11h00 à 12h00 - Salle réunion PMMH 1
Modeling suspensions of swarming bacteria with wet Vicsek models
Hugues Chaté SPEC, CEA - Saclay & Beijing CSRC, China After a brief introduction to active matter and some remarks about the development of the field, I will first focus on aligning dry active matter, and in particular on Vicsek-style models, the emblematic models in this class. In a second part, I will show that (...) -
Séminaire PMMH - Xanthippi Markenscoff (University of California San Diego)
Vendredi 6 décembre de 11h00 à 12h00 - Salle réunion PMMH 1
Instabilities of nucleation and growth of a phase change defect
Department of Mechanical and Aerospace Engineering University of California San Diego La Jolla, CA 92093-0411 Abstract A defect of phase change in density and moduli modeled as a self-similarly expanding Eshelby ellipsoidal inclusion can nucleate and grow under a critical loading. The ellipsoid possesses the (...) -
Séminaire PMMH - Xanthippi Markenscoff (University of California San Diego)
Vendredi 6 décembre de 11h00 à 12h00 - Salle réunion PMMH 1
Instabilities of nucleation and growth of a phase change defect
Department of Mechanical and Aerospace Engineering University of California San Diego La Jolla, CA 92093-0411 Abstract A defect of phase change in density and moduli modeled as a self-similarly expanding Eshelby ellipsoidal inclusion can nucleate and grow under a critical loading. The ellipsoid possesses the (...) -
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 (...) -
Séminaire PMMH – Scott Waitukaitis (IST Austria)
Vendredi 22 novembre de 11h00 à 12h00 - Salle réunion PMMH 1
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Séminaire PMMH – Scott Waitukaitis (IST Austria)
Vendredi 22 novembre de 11h00 à 12h00 - Salle réunion PMMH 1
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Séminaire PMMH - Hannah Allen (LSCE, CEA Saclay)
Vendredi 15 novembre de 11h00 à 12h00 - Salle réunion PMMH 1
Monitoring atmospheric fossil fuel emissions using radiocarbon and global atmospheric simulations with a transport and inverse modeling system
Independent monitoring and apportioning of CO2 emissions is crucial for the verification of greenhouse gas reductions targeted by international agreements designed for climate change mitigation and adaptation. Radiocarbon (14C), found as a fractional isotope of CO2, can be used as a key tracer for fossil-derived (...)
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)
