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首页> 外文期刊>Annali dell' Universita di Ferrara >Asymptotic modeling of the behavior of a reinforced plate governed by a full von Karman thermo-elastic system with nonlinear thermal coupling
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Asymptotic modeling of the behavior of a reinforced plate governed by a full von Karman thermo-elastic system with nonlinear thermal coupling

机译：Asymptotic modeling of the behavior of a reinforced plate governed by a full von Karman thermo-elastic system with nonlinear thermal coupling

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Abstract In this paper, we deal with the asymptotic modeling of the behavior of a reinforced rectangular plate with a thin layer of high thermal conductivity. We focus on a thermo-elastic model described by a set of nonlinear time dependent partial differential equations, accounting for nonlinear mechanical and nonlinear thermal coupling. Our aim is to model this junction and reproduce the effect of the thin body by means of approximate boundary conditions, obtained by an asymptotic analysis with respect to the thickness of this latter. The study is carried out for two kinds of layers: Stiff and soft. Different limit behaviors occur according to the rigidity or the softness of this latter.

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