Journal of Applied and Industrial Mathematics

, Volume 4, Issue 4, pp 526–538 | Cite as

A rigid inclusion in the contact problem for elastic plates

Article

Abstract

A family of problems under consideration describes the contact of elastic plates situated at a given angle to each other and, in the natural condition, touching along a line. The plates are subjected only to bending. The limiting process from the elastic inclusion to the rigid one is studied. It is demonstrated that the limit problems precisely describe the contact of an elastic plate with a rigid beam and the problem of the equilibrium of an elastic plate with a rigid inclusion. The solvability of the problems is established; the boundary conditions holding on the possible contact set are found as well as their precise interpretation.

Keywords

the Kirchhoff-Love model contact problem rigid inclusion 

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Copyright information

© Pleiades Publishing, Ltd. 2010

Authors and Affiliations

  1. 1.Institute of Mathematics and InformaticsYakutsk State UniversityYakutskRussia

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