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

• ID: 2595, RIV: 10127035
• ISSN: 0045-7825, ISBN: not specified
• source: Computer Methods in Applied Mechanics and Engineering
• keywords: Contact problem; Coulomb friction; Mixed finite element formulation; Local Lipschitz continuous branches of solutions; Piecewise smooth continuation methods
• authors: Jaroslav Haslinger, Vladimír Janovský, Tomáš Ligurský
• authors from KNM: Janovský Vladimír, Haslinger Jaroslav

Abstract

We analyze properties of solutions to discrete contact problems with Coulomb friction which are parametrized by the coefficient of friction F. Using a generalized variant of the implicit-function theorem we establish conditions under which there exists a local Lipschitz continuous branch of solutions around a reference point. Finally, a piecewise smooth continuation algorithm which allows to follow such branches of solutions is proposed.