Sitzmann S, Willner K, Wohlmuth BI (2015)
Publication Language: English
Publication Status: Published
Publication Type: Journal article, Original article
Publication year: 2015
Publisher: Elsevier
Book Volume: 285
Pages Range: 468-487
DOI: 10.1016/j.cma.2014.11.022
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.
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.
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