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Author Gloria, Antoine
Source Hyper Articles en Ligne (HAL)
Content type Text
Publisher AIMS-American Institute of Mathematical Sciences
File Format PDF
Language English
Subject Keyword LARGE ELASTIC DEFORMATIONS ♦ FINITE ELEMENTS ♦ HOMOGENIZATION ♦ NONLINEAR ELASTICITY ♦ info ♦ Computer Science [cs]/Other [cs.OH]
Abstract We describe, analyze, and test a direct numerical approach to a homogenized problem in nonlinear elasticity at finite strain. The main advantage of this approach is that it does not modify the overall structure of standard softwares in use for computational elasticity. Our analysis includes a convergence result for a general class of energy densities and an error estimate in the convex case. We relate this approach to the multiscale finite element method and show our analysis also applies to this method. Microscopic buckling and macroscopic instabilities are numerically investigated. The application of our approach to some numerical tests on an idealized rubber foam is also presented. For consistency a short review of the homogenization theory in nonlinear elasticity is provided.
ISSN 15561801
Educational Use Research
Learning Resource Type Article
Publisher Date 2006-01-01
Journal Networks and Heterogeneous Media
Volume Number 1
Issue Number 1
Page Count 33
Starting Page 109
Ending Page 141