Numerical Solutions of the Von Karman Equations for a Thin Plate

Pedro Patrício da Silva () and Werner Krauth ()
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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

International Journal of Modern Physics C (IJMPC), 1997, vol. 08, issue 02, 427-434

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.

Keywords: Nonlinear Elasticity; Plate Mechanics; von Karman Equations; Finite Element Method; Large-Dimensional Minimization (search for similar items in EconPapers)
Date: 1997
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DOI: 10.1142/S0129183197000357

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