On augmented Lagrangian algorithms for thermomechanical contact problems with friction

authored by

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.

External Organisation(s)

Istituto di Scienza e Tecnica delle Costruzioni
Technische Universität Darmstadt

Type

Article

Journal

International Journal for Numerical Methods in Engineering

Volume

38

Pages

2929-2949

No. of pages

21

ISSN

0029-5981

Publication date

15.09.1995

Publication status

Published

Peer reviewed

Yes

ASJC Scopus subject areas

Numerical Analysis, Engineering(all), Applied Mathematics

Electronic version(s)

https://doi.org/10.1002/nme.1620381706 (Access: Unknown)

 

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