Matthieu Mazière Jacques Besson Samuel Forest

Matthieu Mazière, Jacques Besson, Samuel Forest [10pt] Centre Des Matériaux, Mines Paristech, Umr Cnrs 7633 Bp 87 Evry Cedex 91003, France[10pt]

Description

Niveau: Supérieur
FINITE DEFORMATIONS Matthieu Mazière, Jacques Besson, Samuel Forest Centre des Matériaux, Mines ParisTech, UMR CNRS 7633 BP 87 Evry cedex 91003, France March, 2009

• finite deformations


• mines paristech


• displacement field around


• athens finite


• ∂xi ∂xi


• ∂x


• nd order


• paristech —

Sujets

• Forest
• Besson
• Mines ParisTech

Informations

• Publié par: chaeh
• Nombre de lectures: 52

Extrait

F INITE D NOSEFORMATI

Matthieu Mazière, Jacques Besson, Samuel Forest

Centre des Matériaux, Mines ParisTech, UMR CNRS 7633 BP 87 Evry cedex 91003, France

March, 2009

oNtations

[Einstein convention]

ParsiTech—Athens

scalar vector 2 nd order tensor 4 th order tensor matrices Voigt notation

Products .c=a.b c=a.b ∼ c=a.b ∼ ∼ ∼ :c=a:b ∼ ∼ c=a:b ∼ ∼ ∼ ∼ ⊗c=a⊗b ∼ c=a⊗b ∼ ∼ ∼ ∼

F

a a a ∼ a ∼ ∼ a a→a ∼ V( ∼ a.b ∼ )

a a i a ij a ijkl

c=a i b i c i =a ij b j c ij =a ik b kj c=a ij b ij c ij =a ijkl b kl c ij =a i b j c ijkl =a ij b kl

initetSarnis/223

Displacement

Par

isTech

—

Athens

and

Defor

mation

Finite

Strains

3/32