On augmented Lagrangian algorithms for thermomechanical contact problems with friction

verfasst von
G. Zavarise, Peter Wriggers, B. A. Schrefler
Abstract

The detailed discretization of contact zones with contact stiffness based on real physical characteristics of contact surfaces can produce stiffness terms which induce ill‐conditioning of the global stiffness matrix. Moreover the consistent treatment of frictional behaviour generates non‐symmetric tangent stiffness matrices due to the non‐associativity of the slip phase. Other non‐symmetries are due to the coupling terms and to the dependencies on various parameters that can be involved. To overcome these difficulties almost consistent techniques based on two‐step algorithms have been proposed in the past. Here an augmentation technique is proposed which takes into account micro‐mechanical effects, and permits the symmetrization of the tangent stiffness during frictional slip phase.

Externe Organisation(en)
Istituto di Scienza e Tecnica delle Costruzioni
Technische Universität Darmstadt
Typ
Artikel
Journal
International Journal for Numerical Methods in Engineering
Band
38
Seiten
2929-2949
Anzahl der Seiten
21
ISSN
0029-5981
Publikationsdatum
15.09.1995
Publikationsstatus
Veröffentlicht
Peer-reviewed
Ja
ASJC Scopus Sachgebiete
Numerische Mathematik, Ingenieurwesen (insg.), Angewandte Mathematik
Elektronische Version(en)
https://doi.org/10.1002/nme.1620381706 (Zugang: Unbekannt)
 

Details im Forschungsportal „Research@Leibniz University“