Small strain oscillations of an elastoplastic Kirchhoff plate

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Date
2007
Volume
1246
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Journal
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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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Guenther, R. B., Krejčí, P., & Sprekels, J. (2007). Small strain oscillations of an elastoplastic Kirchhoff plate (Vol. 1246). Berlin : Weierstraß-Institut für Angewandte Analysis und Stochastik.
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