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Boundary Element and Augmented Lagrangian Methods for Contact Problem with Coulomb Friction
Journal article   Open access   Peer reviewed

Boundary Element and Augmented Lagrangian Methods for Contact Problem with Coulomb Friction

Jia Wu and Shougui Zhang
Mathematical problems in engineering, Vol.2020, pp.1-10
07/17/2020
DOI: 10.1155/2020/7490736
url
https://doi.org/10.1155/2020/7490736View
Published (Version of record) Open Access

Abstract

In this paper, boundary element and augmented Lagrangian methods for Coulomb friction contact problems are presented. Based on the projection technique, both unilateral contact and Coulomb friction conditions are reformulated as fixed point problems. The original problem is deduced to a variational formulation with boundary integral operators. Then, we propose a new augmented Lagrangian method which can be dealt with the semismooth Newton method. Short theoretical results and the algorithm description are given. Numerical simulations show the performance of the method proposed.

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