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A complementarity eigenproblem in the stability analysis of finite dimensional elastic systems with frictional contact. (English) Zbl 1119.74503
Ferris, Michael C. (ed.) et al., Complementarity: applications, algorithms and extensions. Papers from the international conference on complementarity (ICCP 99), Madison, WI, USA, June 9–12, 1999. Dordrecht: Kluwer Academic Publishers (ISBN 0-7923-6816-9). Appl. Optim. 50, 67-83 (2001).
Summary: A mixed complementarity eigenproblem (MCEIP) is formulated, and a method is proposed for its numerical solution. This mathematical problem is motivated by the study of divergence instabilities of static equilibrium states of finite dimensional mechanical systems with unilateral frictional contact. The complementarity eigenproblem is solved by transforming it into a non-monotone mixed complementarity problem (MCP), which is then solved using the algorithm PATH. The proposed method is used to study some small sized examples and some large finite element problems.
For the entire collection see [Zbl 0966.00043].
Reviewer: Reviewer (Berlin)

74M15 Contact in solid mechanics
74G60 Bifurcation and buckling
74M10 Friction in solid mechanics
PATH Solver