Path-following the static contact problem with Coulomb friction

• ID: 2659, RIV: 10189382
• ISSN: not specified, ISBN: 978-80-85823-61-5
• source: Proceedings of the Internationa Conference Applications of Mathematics 2013
• keywords: Contact problem; Coulomb friction; Piecewise smooth continuation methods
• authors: Jaroslav Haslinger, Vladimír Janovský, Radek Kučera
• authors from KNM: Janovský Vladimír, Haslinger Jaroslav

Abstract

Consider contact problem with Coulomb friction on two planar domains. In order to find non-unique solutions we propose a new path following algorithm: Given a linear loading path we approximate the corresponding solution path. It consists of oriented piecewise linear branches connected by transition points. We developed a) predictor-corrector algorithm to follow oriented linear branches, b) branching and orientation indicators to detect transition points. The techniques incorporate semi-smooth Newton iterations and inactive/active set strategy on the contact zone.