Theoretical analysis of discrete contact problems with Coulomb friction.

DOI10.1007/s10492-012-0016-9zbMath1265.74069OpenAlexW2114375805MaRDI QIDQ1928170

Tomáš Ligurský

Publication date: 2 January 2013

Published in: Applications of Mathematics (Search for Journal in Brave)

Full work available at URL: http://hdl.handle.net/10338.dmlcz/142853

zbMATH Keywords

Coulomb frictionlocal uniquenessunilateral contactqualitative behaviour

Mathematics Subject Classification ID

Friction in solid mechanics (74M10) Qualitative behavior of solutions of equilibrium problems in solid mechanics (74G55)

Related Items (4)

Nitsche method for contact with Coulomb friction: existence results for the static and dynamic finite element formulations ⋮ A continuation problem for computing solutions of discretised evolution problems with application to plane quasi-static contact problems with friction ⋮ On the SCD semismooth* Newton method for generalized equations with application to a class of static contact problems with Coulomb friction ⋮ Nonsmooth continuation of parameter dependent static contact problems with Coulomb friction

Cites Work

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• Strongly Regular Generalized Equations
• EXISTENCE RESULTS FOR THE STATIC CONTACT PROBLEM WITH COULOMB FRICTION
• Implicit Functions, Lipschitz Maps, and Stability in Optimization
• Non-unique slipping in the coulomb friction model in two-dimensional linear elasticity
• Shape Optimization in Contact Problems with Coulomb Friction
• Shape Optimization in Three-Dimensional Contact Problems with Coulomb Friction

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