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Direct FEM Limit and Shakedown Analysis with Uncertain Data

  • The structural reliability with respect to plastic collapse or to inadaptation is formulated on the basis of the lower bound limit and shakedown theorems. A direct definition of the limit state function is achieved which permits the use of the highly effective first order reliability methods (FORM) is achieved. The theorems are implemented into a general purpose FEM program in a way capable of large-scale analysis. The limit state function and its gradient are obtained from a mathematical optimization problem. This direct approach reduces considerably the necessary knowledge of uncertain technological input data, the computing time, and the numerical error, leading to highly effective and precise reliability analyses.

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Author:Manfred Staat
Document Type:Article
Year of Completion:2000
Publishing Institution:Fachhochschule Aachen
Contributing Corporation:Institute for Safety Research and Reactor Technology (ISR), Forschungszentrum Jülich
Date of the Publication (Server):2006/01/18
Tag:Einspielanalyse; FEM
FEM; direct method; limit load; reliability analysis; shakedown
GND Keyword:Finite-Elemente-Methode; Einspielen <Werkstoff>
Source:CD-ROM Proceedings of the European Congress on Computational Methods in Applied Sciences and Engineering, ECCOMAS 2000, Barcelona, Spain (2000), paper 483, 13 pages.
Contributor:Heitzer, Michael
Institutes:FH Aachen / Fachbereich Medizintechnik und Technomathematik
Dewey Decimal Classification:6 Technik, Medizin, angewandte Wissenschaften / 60 Technik / 600 Technik, Technologie