A perturbed Lagrangian formulation for the finite element solution of contact problems

verfasst von
Juan C. Simo, Peter Wriggers, Robert L. Taylor
Abstract

Making use of a perturbed Lagrangian formulation, a finite element procedure for contact problems is developed for the general case in which node-to-node contact no longer holds. The proposed procedure leads naturally to a discretization of the contact interface into contact segments. Within the context of a bilinear interpolation for the displacement field, a mixed finite element approximation is introduced by assuming discontinuous contact pressure, constant on the contact segment. Because of this piece-wise constant approximation, the gap function enters into the formulation in an 'average' sense instead of through a point-wise definition. Numerical examples are presented that illustrate the performance of the proposed procedure.

Externe Organisation(en)
University of California at Berkeley
Typ
Artikel
Journal
Computer Methods in Applied Mechanics and Engineering
Band
50
Seiten
163-180
Anzahl der Seiten
18
ISSN
0045-7825
Publikationsdatum
08.1985
Publikationsstatus
Veröffentlicht
Peer-reviewed
Ja
ASJC Scopus Sachgebiete
Numerische Mechanik, Werkstoffmechanik, Maschinenbau, Physik und Astronomie (insg.), Angewandte Informatik
Elektronische Version(en)
https://doi.org/10.1016/0045-7825(85)90088-X (Zugang: Unbekannt)
 

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