Solution of a Contact Elasticity Problem with a Rigid Inclusion


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Abstract

An equilibrium problem for an elastic body containing a rigid inclusion is solved. There is a delamination crack on a portion of the interface between the inclusion and the elastic body. Mutual nonpenetration conditions are set on the crack faces. According to the solution method, the problem with a rigid inclusion can be treated as a limit one for a family of problems with a crack. A numerical method relying on a modified duality scheme and the Uzawa algorithm is proposed for solving the problem. FEM-based numerical results are presented.

About the authors

R. V. Namm

Computing Center, Far Eastern Branch, Russian Academy of Sciences; Pacific State University

Author for correspondence.
Email: rnamm@yandex.ru
Russian Federation, Khabarovsk, 680000; Khabarovsk, 680035

G. I. Tsoy

Computing Center, Far Eastern Branch, Russian Academy of Sciences

Author for correspondence.
Email: tsoy.dv@mail.ru
Russian Federation, Khabarovsk, 680000

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