Numerical approximation for a non-linear membrane problem

  • Kerdid N
  • Le Dret H
  • Saïdi A
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Abstract

We present a numerical study of large deformations of non-linearly elastic membranes. We consider the non-linear membrane model obtained by Le Dret and Raoult using Γ-convergence, in the case of a Saint Venant-Kirchhoff bulk material. We consider conforming P1and Q1finite element approximations of the membrane problem and use a non-linear conjugate gradient algorithm to minimize the discrete energy. We present numerical tests including membranes subjected to live pressure loads. © 2008 Elsevier Ltd. All rights reserved.

Author-supplied keywords

  • Finite element approximation
  • Membranes/thin films
  • Non-linear elasticity

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Authors

  • Nabil Kerdid

  • Hervé Le Dret

  • Abdelkader Saïdi

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