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, Allgemeine Physik und Astronomie, Angewandte Informatik

Elektronische Version(en)

https://doi.org/10.1016/0045-7825(85)90088-X (Zugang: Unbekannt)