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Autoren:
Popp, Alexander; Gitterle, Markus; Gee, Michael W.; Wall, Wolfgang A. 
Dokumenttyp:
Zeitschriftenartikel / Journal Article 
Titel:
A dual mortar approach for 3D finite deformation contact with consistent linearization 
Zeitschrift:
International Journal for Numerical Methods in Engineering 
Jahrgang:
83 
Heftnummer:
11 
Verlag:
John Wiley & Sons, Ltd. 
Jahr:
2010 
Seiten von - bis:
1428-1465 
Sprache:
Englisch 
Stichwörter:
mortar finite element methods ; contact ; dual Lagrange multipliers ; semi-smooth Newton method ; finite deformations 
Abstract:
In this paper, an approach for three-dimensional frictionless contact based on a dual mortar formulation and using a primal-dual active set strategy for direct constraint enforcement is presented. We focus on linear shape functions, but briefly address higher order interpolation as well. The study builds on previous work by the authors for two-dimensional problems. First and foremost, the ideas of a consistently linearized dual mortar scheme and of an interpretation of the active set search as a semi-smooth Newton method are extended to the 3D case. This allows for solving all types of nonlinearities (i.e. geometrical, material and contact) within one single Newton scheme. Owing to the dual Lagrange multiplier approach employed, this advantage is not accompanied by an undesirable increase in system size as the Lagrange multipliers can be condensed from the global system of equations. Moreover, it is pointed out that the presented method does not make use of any regularization of contact constraints. Numerical examples illustrate the efficiency of our method and the high quality of results in 3D finite deformation contact analysis. Copyright © 2010 John Wiley & Sons, Ltd. 
ISSN:
1097-0207 
Open Access ja oder nein?:
Nein / No