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Computational Algorithm for Investigation Large Elastoplastic Deformations with Contact Interaction

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Abstract

The paper is dedicated to the construction of a computational algorithm for the investigation of solids, taking into account the material and geometric nonlinearity and contact interaction. In the framework of the previously developed algorithm for the investigation of large elastoplastic deformations of solids the solutions of contact problems are derived. The algorithm has been based on the equation of the principle of virtual work in velocity terms. Contact interaction is modeled over the basis of the master-slave approach with penalty method. The closest point projection procedure is used to find the contact area. For the solution of the nonlinear system of equations incremental method is applied. The numerical implementation is based on the finite element method.

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Funding

The reported study was supported by Government of the Republic of Tatarstan research projects and RFBR research projects nos. 18-41-160021, 18-41-160018.

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Authors and Affiliations

  1. N. I. Lobachevskii Institute of Mathematics and Mechanics, Kazan (Volga Region) Federal University, 420008, Kazan, Russia

    L. U. Sultanov

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  1. L. U. Sultanov
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Correspondence to L. U. Sultanov.

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(Submitted by D. A. Gubaidullin)

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Sultanov, L.U. Computational Algorithm for Investigation Large Elastoplastic Deformations with Contact Interaction. Lobachevskii J Math 42, 2056–2063 (2021). https://doi.org/10.1134/S199508022108031X

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  • DOI: https://doi.org/10.1134/S199508022108031X

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