A dual Lagrange method for contact problems with regularized contact conditions

Sitzmann S, Willner K, Wohlmuth BI (2014)

Publication Language: English

Publication Status: Published

Publication Type: Journal article, Original article

Publication year: 2014

Journal

International Journal for Numerical Methods in Engineering Wiley

Book Volume: 99

Pages Range: 221-238

Journal Issue: 3

DOI: 10.1002/nme.4683

Abstract

This paper presents an algorithm for solving quasi-static, non-linear elasticity contact problems without friction in the context of rough surfaces. Here, we want to model the transition from soft to hard contact in case of rough surfaces on the micro-scale. 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 mass-lumping techniques to exploit the full advantages of the duality pairing. 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 a good agreement to experimentally obtained results.

Authors with CRIS profile

Saskia Sitzmann Professur für Strukturmechanik Kai Willner Professur für Strukturmechanik

Involved external institutions

Technische Universität München (TUM) DE Germany (DE)

How to cite

APA:

Sitzmann, S., Willner, K., & Wohlmuth, B.I. (2014). A dual Lagrange method for contact problems with regularized contact conditions. International Journal for Numerical Methods in Engineering, 99(3), 221-238. https://doi.org/10.1002/nme.4683

MLA:

Sitzmann, Saskia, Kai Willner, and B. I. Wohlmuth. "A dual Lagrange method for contact problems with regularized contact conditions." International Journal for Numerical Methods in Engineering 99.3 (2014): 221-238.

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