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A comparison of computational methods for large deformation contact problems of flexible bodies
Author(s) -
Hesch C.,
Betsch P.
Publication year - 2006
Publication title -
zamm ‐ journal of applied mathematics and mechanics / zeitschrift für angewandte mathematik und mechanik
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.449
H-Index - 51
eISSN - 1521-4001
pISSN - 0044-2267
DOI - 10.1002/zamm.200610289
Subject(s) - finite element method , discretization , lagrange multiplier , mortar , deformation (meteorology) , contact mechanics , nonlinear system , contact force , work (physics) , node (physics) , unilateral contact , computer science , mathematical optimization , mathematics , structural engineering , mathematical analysis , engineering , materials science , mechanical engineering , classical mechanics , physics , composite material , quantum mechanics
In the present work we compare two methods for large deformation contact problems. On the one hand the commonly applied node‐to‐segment (NTS) method is investigated, on the other hand the newly emerging mortar method for contact problems is considered. Both approaches rely on a nonlinear finite element discretization of flexible bodies. In addition to static contact problems dynamic problems are considered as well. For both NTS and mortar methods the contact constraints are enforced by means of Lagrange multipliers. Several numerical examples are presented to compare the two alternative approaches.