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Application of a Finite-Element Method to Two-Dimensional Contact Problems

С. Н. Коробейников, V.V. Alyokhin

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Abstract

The paper is concerned with the solution of two-dimensional nonlinear contact problems of solid mechanics by the finite element method. The Lagrange multiplier method so as penalty function one are used. The solutions of some 2/D contact problems are presented.

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What this paper is about

The paper is concerned with the solution of two-dimensional nonlinear contact problems of solid mechanics by the finite element method. The Lagrange multiplier method so as penalty function one are used. The solutions of some 2/D contact problems are presented.

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Available abstract

The paper is concerned with the solution of two-dimensional nonlinear contact problems of solid mechanics by the finite element method. The Lagrange multiplier method so as penalty function one are used. The solutions of some 2/D contact problems are presented.

Key concepts: Finite element method, Lagrange multiplier, Penalty method, Mixed finite element method, Extended finite element method, Contact mechanics, Nonlinear system, Mathematics

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