Qualitative analysis of solutions to discrete static contact problems with Coulomb friction

DOI10.1016/J.CMA.2010.09.010zbMath1239.74067OpenAlexW2002078770WikidataQ109654951 ScholiaQ109654951MaRDI QIDQ423577

Tomáš Ligurský, Jaroslav Haslinger, Vladimir Janovský

Publication date: 2 June 2012

Published in: Computer Methods in Applied Mechanics and Engineering (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.cma.2010.09.010

zbMATH Keywords

Coulomb frictioncontact problemmixed finite element formulationlocal Lipschitz continuous branches of solutionspiecewise smooth continuation methods

Mathematics Subject Classification ID

Contact in solid mechanics (74M15) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) PDEs in connection with mechanics of deformable solids (35Q74)

Related Items (7)

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 ⋮ A method of piecewise‐smooth numerical branching ⋮ The use of Castigliano's theorem in Coulomb friction problems ⋮ On the Aubin property of a class of parameterized variational systems ⋮ Nonsmooth continuation of parameter dependent static contact problems with Coulomb friction ⋮ Bifurcations in piecewise-smooth steady-state problems: abstract study and application to plane contact problems with friction

Uses Software

• MATCONT

Cites Work

• Investigation of the equilibrium states and their stability for a simple model with unilateral contact and Coulomb friction
• Approximation of the signorini problem with friction, obeying the coulomb law
• A Uniqueness Criterion for the Signorini Problem with Coulomb Friction
• Strongly Regular Generalized Equations
• Non-unique slipping in the coulomb friction model in two-dimensional linear elasticity
• Finite-Dimensional Variational Inequalities and Complementarity Problems
• MATCONT
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