A 3D approximation

Georges Griso

Description

A 3D approximation of the nonlinear elasticity system for rods Contents I. Nonlin. el. rod * Dec. rod-def. * Korn's ineg. * The tot. el. eneg. * Estimates II. Explicit decomposition * Prel. alg. lemma * New decomp. theorem III Simp. G.S.V.'s tensor IV. App. total energy * Just. of the 3D approx. A 3D approximation of the nonlinear elasticity system for rods Georges GRISO. Laboratoire Jacques-Louis Lions, Paris VI, France Rouen, 25-26 Octobre, 2011

• thin rod


• ?v ?


• nonlinear elasticity


• rod


• dr dx3


• st venant's tensor


• nonlinear elastic


• korn's ineg

Sujets

• Deformation (mechanics)
• maths
• Mathématiques

Informations

• Publié par: pefav
• Nombre de lectures: 29
• Langue: English

Extrait

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Rouen, 25-26 Octobre, 2011

Laboratoire Jacques-Louis Lions, Paris VI, France

Georges GRISO.

A 3D approximation of the nonlinear elasticity system for rods

roppmaxi D a A3 city syst ar elasti nenoilen itno foht od.reln.lion.N s I tnetnoC sdorrofme etot . *Th inegrn’s* . oK d-fer.doD*ce itosmpco elPr n * io mel.gla. edweN* am eneg.el. tima . *Es .IxE et I s ti ed lpci IV or pp.Aot.t en al ygre suJ*fo.t3eht comp. theorem IIISmi.p.G.S.Vs’ etsn or.xa D pp

2. Korn’s inequalities

1. Decomposition of the rod deformations

II. Explicit decomposition of the rod-deformations

3. Elastic thin rod : the total elastic energy. Estimates

I. Nonlinear elastic thin rod

Contents

1. A preliminary algebraic lemma

2. New decomposition for the rod deformations III. Simplification in the Green St Venant’s tensor IV. An approximation of the total energy