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

作者：Sitzmann Saskia^*; Willner Kai; Wohlmuth Barbara I

来源：Computer Methods in Applied Mechanics and Engineering, 2015, 285: 468-487.

DOI：10.1016/j.cma.2014.11.022

• Contact with friction
• Dual Mortar methods
• Micro slip
• Rough surfaces
• Constitutive contact equations
• Iwan model

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.

• 出版日期2015-3-1