Solution of a Contact Elasticity Problem with a Rigid Inclusion

Solution of a Contact Elasticity Problem with a Rigid Inclusion

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...

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Veröffentlicht in:Computational mathematics and mathematical physics 2019-04, Vol.59 (4), p.659-666
Hauptverfasser: Namm, R. V., Tsoy, G. I.
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Sprache:eng
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Computational Mathematics and Numerical Analysis
Elastic bodies
Elasticity
Finite element method
Mathematics
Mathematics and Statistics
Numerical methods
Uzawa's algorithm
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Tsoy, G. I.
description 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.
doi_str_mv 10.1134/S0965542519040134
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subjects Computational Mathematics and Numerical Analysis
Elastic bodies
Elasticity
Finite element method
Mathematics
Mathematics and Statistics
Numerical methods
Uzawa's algorithm
title Solution of a Contact Elasticity Problem with a Rigid Inclusion
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