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Pré-Publication, Document De Travail Année : 2006

Numerical approximation for a nonlinear membrane problem

Résumé

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.
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Dates et versions

hal-00112123 , version 1 (08-11-2006)

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  • HAL Id : hal-00112123 , version 1

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Hervé Le Dret, Nabil Kerdid, Abdelkader Saïdi. Numerical approximation for a nonlinear membrane problem. 2006. ⟨hal-00112123⟩
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