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arXiv · 1908.09279

Solvability of a dynamic rational contact with limited interpenetration for viscoelastic plates

Jiří Jarušek
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Abstract

The solvability of the rational contact with limited interpenetration of different kind of viscolastic plates is proved. The biharmonic plates, von Kármán plates, Reissner-Mindlin plates and full von Kármán systems are treated. The viscoelasticity can have the classical (``short memory'') form or the form of a certain singular memory. For all models some convergence of the solutions to the solutions of the Signorini contact is proved provided the thickness of the interpenetration tends to zero.

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Jiří Jarušek. 2019-08-25. Solvability of a dynamic rational contact with limited interpenetration for viscoelastic plates. https://arxiv.org/abs/1908.09279

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