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1 LJLL - Laboratoire Jacques-Louis Lions 2 College of Computer and Information Science 3 IRMA - Institut de Recherche Mathématique Avancée

Abstract : We present a numerical study of large deformations of nonlinearly elastic membranes. We consider the nonlinear membrane model obtained by H. Le Dret and A. Raoult using Γ-convergence, in the case of a Saint Venant- Kirchhoff bulk material.We consider conforming P1 and Q1finite element approximations of the membrane problem and use a nonlinear conjugate gradient algorithm to minimize the discrete energy. We present numerical tests including membranes submitted to live pressure loads.





Author: Hervé Le Dret - Nabil Kerdid - Abdelkader Saïdi -

Source: https://hal.archives-ouvertes.fr/



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