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.
| Author: | Manfred StaatORCiD |
|---|---|
| DOI: | https://doi.org/10.21269/75 |
| Document Type: | Article |
| Language: | English |
| 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 |
