Seminars

PMMH’s weekly seminar is held every Friday at 11 am (map)

Contact :
Stéphane Perrard
Etienne Reyssat
Virgile Thiévenaz
responsables-seminaires (arobase) pmmh.espci.fr

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 – Florence Bertails-Descoubes (INRIA, Grenoble) & Sébastien Neukirch (∂Alembert)

Vendredi 10 octobre de 11h00 à 12h00 - Salle réunion PMMH 1

Elastic Rods made easy with a Noether invariant

The static-dynamic analogy discovered by G. Kirchhoff shows that the statics of the planar elastica are equivalent to the dynamics of the pendulum. In this analogy, time and angular velocity are, for example, equivalent to arc length and curvatures.

This static-dynamic analogy allows us to write a quantity that is invariant along the elastic rod at equilibrium : A pendulum will have its mechanical energy constant in time and, in the same manner, a planar elastica will have the sum of its curvature energy and its axial force uniform along the structure.

We will show how this invariant may be used to quickly derive useful information on the equilibrium shapes of elastica in self-contact or in interaction with obstacles, sliding sleeves, force fields, and droplets.

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Seminars  (7)

Information for the speakers

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.

Link to cofee seminar (internal, every Thursday)


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Contact

Directeur : Ramiro GODOY DIANA
Codirecteur : Laurent DUCHEMIN
Administratrice : Frédérique AUGER (01 40 79 45 22)
Gestionnaire : Claudette BAREZ (01 40 79 58 53)
Courriel : dir (arobase) pmmh.espci.fr
Téléphone : 01 40 79 45 22
Adresse : PMMH UMR 7636 CNRS, ESPCI Paris-PSL, Sorbonne Université, Université Paris Cité
7 Quai Saint Bernard, Barre Cassan Bât A 1er étage Case 18, 75005 Paris