Frictionless 2D contact formulations for finite deformations based on the mortar method

authored by

K. A. Fischer, Peter Wriggers

Abstract

In this paper two different finite element formulations for frictionless large deformation contact problems with non-matching meshes are presented. Both are based on the mortar method. The first formulation introduces the contact constraints via Lagrange multipliers, the other employs the penalty method. Both formulations differ in size and the way of fulfilling the contact constraints, thus different strategies to determine the permanently changing contact area are required. Starting from the contact potential energy, the variational formulation, the linearization and finally the matrix formulation of both methods are derived. In combination with different contact detection methods the global solution algorithm is applied to different two-dimensional examples.

Organisation(s)

Institute of Mechanics and Computational Mechanics

Type

Article

Journal

Computational mechanics

Volume

36

Pages

226-244

No. of pages

19

ISSN

0178-7675

Publication date

14.04.2005

Publication status

Published

Peer reviewed

Yes

ASJC Scopus subject areas

Computational Mechanics, Ocean Engineering, Mechanical Engineering, Computational Theory and Mathematics, Computational Mathematics, Applied Mathematics

Electronic version(s)

https://doi.org/10.1007/s00466-005-0660-y (Access: Unknown)

 

Details in the research portal "Research@Leibniz University"