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

verfasst von
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.

Organisationseinheit(en)
Institut für Kontinuumsmechanik
Externe Organisation(en)
Universidad Politecnica de Valencia
Typ
Artikel
Journal
Computer Methods in Applied Mechanics and Engineering
Band
198
Seiten
2860-2873
Anzahl der Seiten
14
ISSN
0045-7825
Publikationsdatum
23.07.2009
Publikationsstatus
Veröffentlicht
Peer-reviewed
Ja
ASJC Scopus Sachgebiete
Numerische Mechanik, Werkstoffmechanik, Maschinenbau, Physik und Astronomie (insg.), Angewandte Informatik
Elektronische Version(en)
https://doi.org/10.1016/j.cma.2009.04.007 (Zugang: Unbekannt)
 

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