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Numerical solution of an equilibrium problem for an elastic body with a thin delaminated rigid inclusion

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Abstract

Under consideration is a 2D-problem of elasticity theory for a body with a thin rigid inclusion. It is assumed that there is a delamination crack between the rigid inclusion and the elastic matrix. At the crack faces, the boundary conditions are set in the form of inequalities providing mutual nonpenetration of the crack faces. Some numerical method is proposed for solving the problem, based on domain decomposition and the Uzawa algorithm for solving variational inequalities.We give an example of numerical calculation by the finite element method.

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Authors and Affiliations

  1. Lavrent’ev Institute of Hydrodynamics, pr. Akad. Lavrent’eva 15, Novosibirsk, 630090, Russia

    E. M. Rudoy

  2. Novosibirsk State University, ul. Pirogova 2, Novosibirsk, 630090, Russia

    E. M. Rudoy

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  1. E. M. Rudoy
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Correspondence to E. M. Rudoy.

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Original Russian Text © E.M. Rudoy, 2016, published in Sibirskii Zhurnal Industrial’noi Matematiki, 2016, Vol. XIX, No. 2, pp. 74–87.

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Rudoy, E.M. Numerical solution of an equilibrium problem for an elastic body with a thin delaminated rigid inclusion. J. Appl. Ind. Math. 10, 264–276 (2016). https://doi.org/10.1134/S1990478916020113

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  • DOI: https://doi.org/10.1134/S1990478916020113

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