Contact problems for elastic bodies with rigid inclusions

Khludnev, Alexander

doi:10.1090/S0033-569X-2012-01233-3

Author: Alexander Khludnev
Journal: Quart. Appl. Math. 70 (2012), 269-284
MSC (2010): Primary 35J20, 74E30
DOI: https://doi.org/10.1090/S0033-569X-2012-01233-3
Published electronically: February 3, 2012
MathSciNet review: 2953103
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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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