A mortar-based frictional contact formulation for large deformations using Lagrange multipliers

authored by
M. Tur, F. J. Fuenmayor, Peter Wriggers
Abstract

In this work a Lagrange multiplier method is proposed to solve 2D Coulomb frictional contact problems in the context of large deformations. As the proposed formulation is based on the mortar method, the constraints are imposed in a weak integral sense along the contact surface. In order to compute the contact integrals, we use a numerical integration based on the definition of the kinematical variables (gap, slip and their variations) at the quadrature points. The linearization of non-linear equations (virtual work and contact constraints) is developed in order to apply a Newton's method. The examples show that the numerical integration still preserves the optimal rate of convergence of the finite element solution.

Organisation(s)
Institute of Continuum Mechanics
External Organisation(s)
Polytechnic University of Valencia
Type
Article
Journal
Computer Methods in Applied Mechanics and Engineering
Volume
198
Pages
2860-2873
No. of pages
14
ISSN
0045-7825
Publication date
23.07.2009
Publication status
Published
Peer reviewed
Yes
ASJC Scopus subject areas
Computational Mechanics, Mechanics of Materials, Mechanical Engineering, Physics and Astronomy(all), Computer Science Applications
Electronic version(s)
https://doi.org/10.1016/j.cma.2009.04.007 (Access: Unknown)
 

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