Computing non unique solutions of the Coulomb friction problem

DOI10.1016/j.matcom.2010.11.016zbMath1252.74024OpenAlexW2087498786MaRDI QIDQ1761656

Tomáš Ligurský, Vladimir Janovský

Publication date: 15 November 2012

Published in: Mathematics and Computers in Simulation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.matcom.2010.11.016

zbMATH Keywords

Coulomb frictioncontinuationpath-followingnon-smooth folds

Mathematics Subject Classification ID

Numerical computation of solutions to systems of equations (65H10) Contact in solid mechanics (74M15) Numerical approximation of solutions of dynamical problems in solid mechanics (74H15) Numerical bifurcation problems (65P30)

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 ⋮ The use of Castigliano's theorem in Coulomb friction problems ⋮ Nonsmooth continuation of parameter dependent static contact problems with Coulomb friction

Uses Software

• MATCONT

Cites Work

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• Semi-smooth Newton methods for the Signorini problem.
• An example of nonuniqueness for the continuous static unilateral contact model with Coulomb friction.
• Numerical bifurcation analysis for ODEs
• Piecewise-smooth dynamical systems. Theory and applications
• EXISTENCE RESULTS FOR THE STATIC CONTACT PROBLEM WITH COULOMB FRICTION
• 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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