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, General Engineering, Applied Mathematics
Electronic version(s): https://doi.org/10.1002/nme.1620381706 (Access: Unknown)
: Details in the research portal "Research@Leibniz University"