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Title: The directional instability problem in systems with frictional contacts
Authors: Pinto da Costa, A. 
Martins, J. A. C. 
Figueiredo, I. N. 
Júdice, J. J. 
Keywords: Coulomb friction; Directional instability; Angular bifurcation; Complementarity problems; Finite elements
Issue Date: 2004
Citation: Computer Methods in Applied Mechanics and Engineering. 193:3-5 (2004) 357-384
Abstract: The research summarized in this paper addresses the directional instability of finite dimensional systems with unilateral frictional contacts. Conditions for the occurrence of this divergence type instability are discussed, complementarity formulations are developed, and numerical procedures are proposed for the solution of the corresponding non-smooth stability eigenproblems. Various examples are analytically or numerically solved and discussed, namely some finite element examples that have instability modes involving evolution towards slip or stick in different portions of the contact surface.
Rights: openAccess
Appears in Collections:FCTUC Matemática - Artigos em Revistas Internacionais

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