A note on tangent stiffness for fully nonlinear contact problems

verfasst von
Peter Wriggers, J. C. Simo
Abstract

In the numerical solution of geometrically nonlinear contact problems by the finite element method, it is often assumed that the modification to the tangent stiffness takes the form of the single rank-one-update characteristic of the linear theory. It is shown that due to the kinematic nonlinearity such a simple structure no longer holds. Within the context of the discrete problem arising from a finite element formulation, explicit expressions for the residual and the tangent stiffness matrix are obtained for both penalty and Lagrangian parameter procedures.

Organisationseinheit(en)
Institut für Baumechanik und Numerische Mechanik
Externe Organisation(en)
University of California (UCLA)
Typ
Artikel
Journal
Communications in Numerical Methods in Engineering
Band
1
Seiten
199-203
Anzahl der Seiten
5
ISSN
1069-8299
Publikationsdatum
1985
Publikationsstatus
Veröffentlicht
Peer-reviewed
Ja
ASJC Scopus Sachgebiete
Software, Modellierung und Simulation, Ingenieurwesen (insg.), Theoretische Informatik und Mathematik, Angewandte Mathematik
 

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