On Contact Between a Thin Obstacle and a Plate Containing a Thin Inclusion

A. I. Furtsev

doi:10.1007/s10958-019-04179-z

On Contact Between a Thin Obstacle and a Plate Containing a Thin Inclusion

A. I. Furtsev

Research output: Contribution to journal › Article › peer-review

4 Citations (Scopus)

Abstract

We consider problems governing a contact between an elastic plate with a thin elastic inclusion and a thin elastic obstacle and study the equilibrium of the plate with or without cuts. We discuss various statements and establish the existence of a solution. We analyze the limit problem as the rigidity parameter of the elastic inclusion tends to infinity.

Original language	English
Pages (from-to)	530-545
Number of pages	16
Journal	Journal of Mathematical Sciences (United States)
Volume	237
Issue number	4
DOIs	https://doi.org/10.1007/s10958-019-04179-z
Publication status	Published - 14 Mar 2019

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abstract = "We consider problems governing a contact between an elastic plate with a thin elastic inclusion and a thin elastic obstacle and study the equilibrium of the plate with or without cuts. We discuss various statements and establish the existence of a solution. We analyze the limit problem as the rigidity parameter of the elastic inclusion tends to infinity.",

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AB - We consider problems governing a contact between an elastic plate with a thin elastic inclusion and a thin elastic obstacle and study the equilibrium of the plate with or without cuts. We discuss various statements and establish the existence of a solution. We analyze the limit problem as the rigidity parameter of the elastic inclusion tends to infinity.

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