Asymptotic of the Solution of the Contact Problem for a Thin Elastic Plate and a Viscoelastic Layer

被引：0

作者：

G. P. Panasenko

A. E. Elbert

机构：

[1] National Research University “Moscow Power Engineering Institute”,Institute of Mechanics and Mathematics, Ural Branch

[2] University of Lyon,undefined

[3] Russian Academy of Sciences,undefined

来源：

Doklady Mathematics | 2018年 / 97卷

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摘要：

The contact problem for a thin elastic rigid plate described by the elasticity equations and a viscoelastic layer is solved. The ratio of the thicknesses of the plate and the layer is a small parameter, while the ratio of the Young’s moduli of the layer and the plate is proportional to the cube of this parameter. The asymptotic expansion of the solution is constructed. A theorem on the estimate of the error of asymptotic approximation is formulated. Such problem appears in geophysics, in modeling of the Earth crust–magma interaction.

引用

页码：109 / 112

页数：3