A continuation problem for computing solutions of discretised evolution problems with application to plane quasi-static contact problems with friction

DOI10.1016/j.cma.2014.07.011zbMath1423.74903OpenAlexW2031081146MaRDI QIDQ1668755

Yves Renard, Tomáš Ligurský

Publication date: 29 August 2018

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.2014.07.011

zbMATH Keywords

first-order systemCoulomb frictioncontact problemcontinuationpiecewise-smooth systempredictor-corrector

Mathematics Subject Classification ID

Friction in solid mechanics (74M10) Contact in solid mechanics (74M15) Finite element methods applied to problems in solid mechanics (74S05) Numerical methods for initial value problems involving ordinary differential equations (65L05) Numerical solution of discretized equations for initial value and initial-boundary value problems involving PDEs (65M22)

Related Items (6)

Nitsche method for contact with Coulomb friction: existence results for the static and dynamic finite element formulations ⋮ A method of piecewise‐smooth numerical branching ⋮ Existence and multiplicity of solutions in frictional contact mechanics. II: Analytical and numerical case study ⋮ 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 ⋮ Globally convergent nonlinear 3D inverse model for smart materials with Hessian-based optimization

Uses Software

• MATCONT
• Getfem++

Cites Work

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• MATCONT

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