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.

中文翻译：

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粘弹性板有限互穿的动态有理接触的可解性

证明了不同类型粘弹性板有限互穿的合理接触的可解性。处理了双调和板、von Kármán 板、Reissner-Mindlin 板和完整的 von Kármán 系统。粘弹性可以具有经典的（“短记忆”）形式或某种单一记忆的形式。对于所有模型，只要互穿的厚度趋于零，Signorini 接触的解的一些收敛性就被证明了。