Contact problems for elastic bodies with rigid inclusions

Author:
Alexander Khludnev

Journal:
Quart. Appl. Math. **70** (2012), 269-284

MSC (2010):
Primary 35J20, 74E30

Published electronically:
February 3, 2012

MathSciNet review:
2953103

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Abstract | References | Similar Articles | Additional Information

Abstract: This paper is concerned with a new type of free boundary problems for elastic bodies with a rigid inclusion being in contact with another rigid inclusion or with a non-deformable punch. We propose correct problem formulations with inequality type boundary conditions of a non-local type describing a mutual non-penetration between surfaces. Solution existence is proved for different types of inclusions and different geometries. Qualitative properties of solutions are analyzed provided that rigidity parameters are changed.

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Additional Information

**Alexander Khludnev**

Affiliation:
Lavrentyev Institute of Hydrodynamics of the Russian Academy of Sciences, and Novosibirsk State University, Novosibirsk 630090, Russia

Email:
khlud@hydro.nsc.ru

DOI:
https://doi.org/10.1090/S0033-569X-2012-01233-3

Keywords:
Rigid inclusion,
non-penetration condition,
delamination,
crack

Received by editor(s):
May 24, 2010

Published electronically:
February 3, 2012

Article copyright:
© Copyright 2012
Brown University

The copyright for this article reverts to public domain 28 years after publication.