A dual Lagrange method for contact problems with regularized frictional contact conditions: Modelling micro slip

Sitzmann S, Willner K, Wohlmuth BI (2015)


Publication Language: English

Publication Status: Published

Publication Type: Journal article, Original article

Publication year: 2015

Journal

Publisher: Elsevier

Book Volume: 285

Pages Range: 468-487

DOI: 10.1016/j.cma.2014.11.022

Abstract

This paper presents an algorithm for solving quasi-static, non-linear elasticity contact problems with friction in the context of rough surfaces. Here, we want to model the transition from sticking to slipping also called micro slip in a physically correct way in order to reproduce measured frictional damping. The popular dual Mortar method is used to enforce the contact constraints in a variationally consistent way without increasing the algebraic system size. The algorithm is deduced from a perturbed Lagrange formulation and combined with a serial-parallel Iwan model. This leads to a regularized saddle point problem, for which a non-linear complementary function and thus a semi-smooth Newton method can be derived. Numerical examples demonstrate the applicability to industrial problems and show good agreement to experimentally obtained results.

Authors with CRIS profile

Involved external institutions

How to cite

APA:

Sitzmann, S., Willner, K., & Wohlmuth, B.I. (2015). A dual Lagrange method for contact problems with regularized frictional contact conditions: Modelling micro slip. Computer Methods in Applied Mechanics and Engineering, 285, 468-487. https://dx.doi.org/10.1016/j.cma.2014.11.022

MLA:

Sitzmann, Saskia, Kai Willner, and B. I. Wohlmuth. "A dual Lagrange method for contact problems with regularized frictional contact conditions: Modelling micro slip." Computer Methods in Applied Mechanics and Engineering 285 (2015): 468-487.

BibTeX: Download