Mixed nonlinear localization strategy for the buckling and post-buckling analyses of structures: parameter optimization and path following implementation. Issue 2 (1st February 2017)

• Record Type: Journal Article
• Authors: Hinojosa, J.; Allix, O.; Guidault, P. A.; Cresta, Ph.; Saavedra, K.
• Is Part Of: Engineering optimization. Volume 49:Issue 2(2017)
• Page Start: 269
• Page End: 289
• Publication Date: 2017-02-01
• Subjects: Nonlinear localization -- optimization of local error criterion -- path following method andmixed domain decomposition framework; Engineering design -- Periodicals; Mathematical optimization -- Periodicals; 620.0042
• DOI: 10.1080/0305215X.2016.1183951
• Languages: English
• ISSNs: 0305-215X

Abstract

ABSTRACT: In previous work, the nonlinear localization was first presented and studied in the case of large displacements but only for globally stable structural responses. In this paper, the influence of the local error criterion on the performance of the strategy is investigated in structures exhibiting more complex behaviour, such as snap-through and snap-back. Second, a path following method is implemented in the domain decomposition framework of the strategy in order to track the solution around a critical point (snap-through and snap-back).