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Numerical Solutions of the Von Karman Equations for a Thin Plate

Author

Listed:
  • Pedro Patrício da Silva

    (CNRS-Laboratoire de Physique Statistique de l'ENS, 24, rue Lhomond; F-75231 Paris Cedex 05, France)

  • Werner Krauth

    (CNRS-Laboratoire de Physique Statistique de l'ENS, 24, rue Lhomond; F-75231 Paris Cedex 05, France)

Abstract

In this paper, we present an algorithm for the solution of the von Karman equations of elasticity theory and related problems. Our method of successive reconditioning is able to avoid convergence problems at any ratio of the nonlinear stretching and the pure bending energies. We illustrate the power of the method by numerical calculations of pinched or compressed plates subject to fixed boundaries.

Suggested Citation

  • Pedro Patrício da Silva & Werner Krauth, 1997. "Numerical Solutions of the Von Karman Equations for a Thin Plate," International Journal of Modern Physics C (IJMPC), World Scientific Publishing Co. Pte. Ltd., vol. 8(02), pages 427-434.
    • Handle: RePEc:wsi:ijmpcx:v:08:y:1997:i:02:n:s0129183197000357
    DOI: 10.1142/S0129183197000357
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