Arc-length method for frictional contact problems using mathematical programming with complementarity constraints

DOI10.1007/s10957-006-9127-3zbMath1278.74137OpenAlexW2038703316MaRDI QIDQ868574

N. E. Zubov

Publication date: 6 March 2007

Published in: Journal of Optimization Theory and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10957-006-9127-3

zbMATH Keywords

contact problemsarc-length methodmathematical program with complementarity constraintsCoulomb's frictionmaximum dissipation

Mathematics Subject Classification ID

Interior-point methods (90C51) Contact in solid mechanics (74M15) Optimization of other properties in solid mechanics (74P10)

Related Items (1)

Bifurcations in piecewise-smooth steady-state problems: abstract study and application to plane contact problems with friction

Uses Software

• Matlab
• Optimization Toolbox

Cites Work

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• Continuation for parametrized nonlinear variational inequalities
• Convergence Properties of a Regularization Scheme for Mathematical Programs with Complementarity Constraints
• POST-BUCKLING ANALYSIS WITH FRICTIONAL CONTACTS COMBINING COMPLEMENTARITY RELATIONS AND AN ARC-LENGTH METHOD
• A fast incremental/iterative solution procedure that handles “snap-through”
• Interior Methods for Nonlinear Optimization
• Computational Contact Mechanics
• Convex Analysis
• Mathematical Programs with Equilibrium Constraints
• The equilibrium state of a structure subject to frictional contact

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