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

被引：20

作者：

Sitzmann, Saskia ^{[1
]}

Willner, Kai ^{[2
]}

Wohlmuth, Barbara I. ^{[3
]}

机构：

[1] Univ Erlangen Nurnberg, Cent Inst Sci Comp, D-91058 Erlangen, Germany

[2] Univ Erlangen Nurnberg, Chair Appl Mech, D-91058 Erlangen, Germany

[3] Tech Univ Munich, Inst Numer Math, D-85748 Garching, Germany

来源：

COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING | 2015年 / 285卷

关键词：

Contact with friction; Dual Mortar methods; Micro slip; Rough surfaces; Constitutive contact equations; Iwan model; FINITE-ELEMENT-METHOD; ACTIVE SET STRATEGY; LARGE DEFORMATIONS; NEWTON METHOD; FORMULATION; MULTIBODY; ALGORITHMS; EXISTENCE; LAWS;

D O I：

10.1016/j.cma.2014.11.022

中图分类号：

T [工业技术];

学科分类号：

08 ;

摘要：

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.

引用

页码：468 / 487

页数：20

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