Noncoercive incremental friction problems for discrete systems
2006 (English)In: Zeitschrift für angewandte Mathematik und Mechanik, ISSN 0044-2267, Vol. 86, no 12, 932-950 p.Article in journal (Refereed) Published
We present a sufficient condition for the existence of solutions to noncoercive incremental friction problems for discrete systems in contact with obstacles. By discrete system we mean that the displacement of the object can be discribed by a finite number of displacement variables, and by noncoercive we mean that the stiffness matrix of the object is semidefinite. We have a noncoercive friction problem when the object is not fixed to a support. This means that the friction forces need to balance the applied forces if the object is to remain stationary. This is manifested in our condition for existence of solutions. This condition is a compatibility condition on the applied force field, and if it is violated there exists a nontrivial solution to a corresponding dynamical problem. © 2006 Wiley-VCH Verlag GmbH & Co. KGaA.
Place, publisher, year, edition, pages
2006. Vol. 86, no 12, 932-950 p.
IdentifiersURN: urn:nbn:se:liu:diva-35254DOI: 10.1002/zamm.200510282Local ID: 25886OAI: oai:DiVA.org:liu-35254DiVA: diva2:256102