期刊
COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING
卷 285, 期 -, 页码 468-487出版社
ELSEVIER SCIENCE SA
DOI: 10.1016/j.cma.2014.11.022
关键词
Contact with friction; Dual Mortar methods; Micro slip; Rough surfaces; Constitutive contact equations; Iwan model
资金
- Federal Republic of Germany
- Federal Ministry of Economics and Technology on the basis of a decision by the German Bundestag through the project Lufo 4-4 RE Turb [20T1104A]
- MTU Aero Engines AG
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. (c) 2014 Elsevier B.V. All rights reserved.
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