liu.seSearch for publications in DiVA
Change search
ReferencesLink to record
Permanent link

Direct link
Shakedown in frictional contact problems
Linköping University, The Institute of Technology. Linköping University, Department of Management and Engineering, Mechanics.
2007 (English)In: 2007 Proceedings of the ASME/STLE International Joint Tribology Conference, 2007, 517-519 p.Conference paper (Other academic)
Abstract [en]

If a linear elastic system with frictional interfaces is subjected to periodic loading, any slip which occurs generally reduces the tendency to slip during subsequent cycles and in some circumstances the system ‘shakes down’ to a state without slip. It has often been conjectured that a frictional Melan’s theorem should apply to this problem — i.e. that the existence of a state of residual stress sufficient to prevent further slip is a sufficient condition for the system to shake down. Here we discuss recent proofs that this is indeed the case for ‘complete’ contact problems if there is no coupling between relative tangential displacements at the interface and the corresponding normal contact tractions. By contrast, when coupling is present, the theorem applies only for a few special two-dimensional discrete cases. Counter-examples can be generated for all other cases. These results apply both in the discrete and the continuum formulation.

Place, publisher, year, edition, pages
2007. 517-519 p.
National Category
Engineering and Technology
URN: urn:nbn:se:liu:diva-39896DOI: 10.1115/IJTC2007-44040Local ID: 51653ISBN: 0-7918-3811-0 (online)ISBN: 0-7918-4810-8 (print)OAI: diva2:260745
2007 ASME/STLE International Joint Tribology Conference,2007
Available from: 2009-10-10 Created: 2009-10-10 Last updated: 2014-08-21

Open Access in DiVA

No full text

Other links

Publisher's full text

Search in DiVA

By author/editor
Klarbring, Anders
By organisation
The Institute of TechnologyMechanics
Engineering and Technology

Search outside of DiVA

GoogleGoogle Scholar
The number of downloads is the sum of all downloads of full texts. It may include eg previous versions that are now no longer available

Altmetric score

Total: 38 hits
ReferencesLink to record
Permanent link

Direct link