TY - JOUR
A1 - Staat, Manfred
T1 - Direct FEM Limit and Shakedown Analysis with Uncertain Data
N2 - 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.
KW - Finite-Elemente-Methode
KW - Einspielen
KW - FEM
KW - Einspielanalyse
KW - shakedown
KW - limit load
KW - reliability analysis
KW - FEM
KW - direct method
Y1 - 2000
ER -
TY - JOUR
A1 - Staat, Manfred
T1 - LISA - a European project for FEM-based limit and shakedown analysis
N2 - The load-carrying capacity or the safety against plastic limit states are the central questions in the design of structures and passive components in the apparatus engineering. A precise answer is most simply given by limit and shakedown analysis. These methods can be based on static and kinematic theorems for lower and upper bound analysis. Both may be formulated as optimization problems for finite element discretizations of structures. The problems of large-scale analysis and the extension towards realistic material modelling will be solved in a European research project. Limit and shakedown analyses are briefly demonstrated with illustrative examples.
KW - Einspielen
KW - Traglast
KW - Finite-Elemente-Methode
KW - Traglastanalyse
KW - Einspielanalyse
KW - FEM
KW - limit analysis
KW - shakedown analysis
Y1 - 2001
ER -