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Basis Reduction for the Shakedown Problem for Bounded Kinematic Hardening Material

  • Limit and shakedown analysis are effective methods for assessing the load carrying capacity of a given structure. The elasto–plastic behavior of the structure subjected to loads varying in a given load domain is characterized by the shakedown load factor, defined as the maximum factor which satisfies the sufficient conditions stated in the corresponding static shakedown theorem. The finite element dicretization of the problem may lead to very large convex optimization. For the effective solution a basis reduction method has been developed that makes use of the special problem structure for perfectly plastic material. The paper proposes a modified basis reduction method for direct application to the two-surface plasticity model of bounded kinematic hardening material. The considered numerical examples show an enlargement of the load carrying capacity due to bounded hardening.

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Author:Manfred Staat
Document Type:Article
Year of Completion:2000
Publishing Institution:Fachhochschule Aachen
Contributing Corporation:Forschungszentrum Jülich, Institut für Sicherheitsforschung und Reaktortechnik
Date of the Publication (Server):2005/11/28
Tag:Basis Reduktion; Druckgeräte; FEM; konvexe Optimierung
Basis reduction; Convex optimization; FEM; Shakedown analysis
GND Keyword:Finite-Elemente-Methode; Einspielen <Werkstoff>
Source:Zuerst erschienen in: Journal of Global Optimization 17 (2000), Seite 185–200 ; http://dx.doi.org/10.1023/A:1008321026063
Contributor:Heitzer, Michael ; Pop, Gabriela
Institutes:FH Aachen / Fachbereich Medizintechnik und Technomathematik
Dewey Decimal Classification:6 Technik, Medizin, angewandte Wissenschaften / 60 Technik / 600 Technik, Technologie