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Article Dans Une Revue Mathematical Methods in the Applied Sciences Année : 2019

Existence, uniqueness, and numerical simulations of Foppl-von Karman equations for simply supported plate

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Résumé

In this paper, we consider the Foppl-von Karman equations in the case of a simply supported thin plate. We introduce a nonlinear Gauss-Seidel fixed point scheme which allows to obtain a constructive proof of the existence and the uniqueness, when a small nonzero source term is considered. Numerical simulations are given using finite elements approximation. We point out the important role of a parameter which allows to select situations in which a buckling phenomena is observed numerically.
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Dates et versions

hal-03621847 , version 1 (28-03-2022)

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Jana Alkhayal, Jean-Paul Chehab, Mustapha Jazar. Existence, uniqueness, and numerical simulations of Foppl-von Karman equations for simply supported plate. Mathematical Methods in the Applied Sciences, 2019, 42 (18), pp.7482-7493. ⟨10.1002/mma.5872⟩. ⟨hal-03621847⟩
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