Small strain oscillations of an elastoplastic Kirchhoff plate

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Date

Volume

1246

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Journal

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WIAS Preprints

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Publisher

Berlin : Weierstraß-Institut für Angewandte Analysis und Stochastik

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Abstract

The two dimensional equation for transversal vibrations of an elastoplastic plate is derived from a general three dimensional system with a single yield tensorial von Mises plasticity model in the five dimensional deviatoric space. It leads after dimensional reduction to a multiyield three dimensional Prandtl-Ishlinskii hysteresis model whose weight function is explicitly given. The resulting partial differential equation with hysteresis is solved by means of viscous approximations and a monotonicity argument.

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