Solution of the static contact problem with Coulomb friction between an elastic body and a rigid foundation

DOI10.1016/j.cam.2022.114725zbMath1500.74048OpenAlexW4292239994MaRDI QIDQ2088851

Georgiy Tsoy, R. V. Namm

Publication date: 6 October 2022

Published in: Journal of Computational and Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.cam.2022.114725

zbMATH Keywords

existenceLagrange multiplierfinite element approximationfixed point argumentUzawa algorithmquasi-variational inequalitymodified duality method

Mathematics Subject Classification ID

Variational inequalities (49J40) Friction in solid mechanics (74M10) Contact in solid mechanics (74M15) Finite element methods applied to problems in solid mechanics (74S05) Existence of solutions of equilibrium problems in solid mechanics (74G22)

Related Items

Duality method for solving 3D contact problems with friction

Uses Software

• SciPy
• Python
• CuPy
• scikit-fem

Cites Work

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• A generalized Newton method for absolute value equations
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• Approximation and numerical realization of 3D quasistatic contact problems with Coulomb friction
• Variational and quasi-variational inequalities in mechanics
• Approximation and numerical realization of 2D contact problems with Coulomb friction and a solution-dependent coefficient of friction
• Minimization of functions having Lipschitz continuous first partial derivatives
• Sensitivity functionals in variational inequalities of mechanics and their applications to duality schemes