Direct static FEM approach to limit and shakedown analysis

  • Safety and reliability of structures may be assessed indirectly by stress distributions. Limit and shakedown theorems are simplified but exact methods of plasticity that provide safety factors directly in the loading space. These theorems may be used for a direct definition of the limit state function for failure by plastic collapse or by inadaptation. In a FEM formulation the limit state function is obtained from a nonlinear optimization problem. This direct approach reduces considerably the necessary knowledge of uncertain technological input data, the computing time, and the numerical error. Moreover, the direct way leads to highly effective and precise reliability analyses. The theorems are implemented into a general purpose FEM program in a way capable of large-scale analysis.

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Author:Manfred Staat, Michael Heitzer
Document Type:Conference Proceeding
Year of Completion:2000
Publishing Institution:Fachhochschule Aachen
Contributing Corporation:Forschungszentrum J├╝lich
Date of the Publication (Server):2005/11/07
Shakedown; limit load; lower bound theorem; nonlinear optimization; reliability
GND Keyword:Einspielen <Werkstoff>; Nichtlineare Optimierung
Source:CD-ROM Proceedings of the Fourth International Colloquium on Computation of Shell & Spatial Structures, IASS-IACM 2000, Chania, Crete, Greece (2000)
Institutes:FH Aachen / Fachbereich Medizintechnik und Technomathematik
Dewey Decimal Classification:6 Technik, Medizin, angewandte Wissenschaften / 60 Technik / 600 Technik, Technologie