TY - CHAP
A1 - Staat, Manfred
A1 - Tran, Thanh Ngoc
A1 - Pham, Phu Tinh
T1 - Limit and shakedown reliability analysis by nonlinear programming
N2 - 7th International Conference on Reliability of Materials and Structures (RELMAS 2008). June 17 - 20, 2008 ; Saint Petersburg, Russia. pp 354-358. Reprint with corrections in red Introduction Analysis of advanced structures working under extreme heavy loading such as nuclear power plants and piping system should take into account the randomness of loading, geometrical and material parameters. The existing reliability are restricted mostly to the elastic working regime, e.g. allowable local stresses. Development of the limit and shakedown reliability-based analysis and design methods, exploiting potential of the shakedown working regime, is highly needed. In this paper the application of a new algorithm of probabilistic limit and shakedown analysis for shell structures is presented, in which the loading and strength of the material as well as the thickness of the shell are considered as random variables. The reliability analysis problems may be efficiently solved by using a system combining the available FE codes, a deterministic limit and shakedown analysis, and the First and Second Order Reliability Methods (FORM/SORM). Non-linear sensitivity analyses are obtained directly from the solution of the deterministic problem without extra computational costs.
KW - Finite-Elemente-Methode
KW - Limit analysis
KW - Shakedown analysis
Y1 - 2008
ER -
TY - CHAP
A1 - Tran, Thanh Ngoc
A1 - Pham, Phu Tinh
A1 - Staat, Manfred
T1 - Reliability analysis of shells based on direct plasticity methods
N2 - Abstracts der CD-Rom Proceedings of the 8th World Congress on Computational Mechanics (WCCM8) and 5th Congress on Computational Methods in Applied Sciences and Engineering (ECCOMAS 2008) 30.06. - 04.07.2008 Venedig, Italien. 2 Seiten Zusammenfassung der Autoren mit graph. Darst. und Literaturverzeichnis
N2 - Abstracts of the Proceedings of the 8th World Congress on Computational Mechanics (WCCM8) and 5th Congress on Computational Methods in Applied Sciences and Engineering (ECCOMAS 2008) June 30th - July, 4th 2008, Venice, Italy. 2 pages with abstracts of the authors, Ill. and references.
KW - Finite-Elemente-Methode
KW - Limit analysis
KW - Shakedown analysis
KW - First-order reliability method
KW - second-order reliability method
KW - Sensitivity
Y1 - 2008
ER -
TY - CHAP
A1 - Tran, Thanh Ngoc
A1 - Staat, Manfred
A1 - Kreißig, R.
T1 - Finite element shakedown and limit reliability analysis of thin shells
N2 - A procedure for the evaluation of the failure probability of elastic-plastic thin shell structures is presented. The procedure involves a deterministic limit and shakedown analysis for each probabilistic iteration which is based on the kinematical approach and the use the exact Ilyushin yield surface. Based on a direct definition of the limit state function, the non-linear problems may be efficiently solved by using the First and Second Order Reliabiblity Methods (Form/SORM). This direct approach reduces considerably the necessary knowledge of uncertain technological input data, computing costs and the numerical error. In: Computational plasticity / ed. by Eugenio Onate. Dordrecht: Springer 2007. VII, 265 S. (Computational Methods in Applied Sciences ; 7) (COMPLAS IX. Part 1 . International Center for Numerical Methods in Engineering (CIMNE)). ISBN 978-1-402-06576-7 S. 186-189
KW - Finite-Elemente-Methode
KW - Limit analysis
KW - shakedown analysis
KW - Exact Ilyushin yield surface
KW - Random variable
KW - First Order Reliabiblity Method
Y1 - 2007
ER -
TY - JOUR
A1 - Staat, Manfred
T1 - Local and global collapse pressure of longitudinally flawed pipes and cylindrical vessels
N2 - Limit loads can be calculated with the finite element method (FEM) for any component, defect geometry, and loading. FEM suggests that published long crack limit formulae for axial defects under-estimate the burst pressure for internal surface defects in thick pipes while limit loads are not conservative for deep cracks and for pressure loaded crack-faces. Very deep cracks have a residual strength, which is modelled by a global collapse load. These observations are combined to derive new analytical local and global collapse loads. The global collapse loads are close to FEM limit analyses for all crack dimensions.
KW - Finite-Elemente-Methode
KW - Grenzwertberechnung
KW - Axialbelastung
KW - FEM
KW - Grenzwertberechnung
KW - Axialbelastung
KW - Traglastanalyse
KW - Limit analysis
KW - Global and local collapse
KW - Axially cracked pipe
KW - Pressure loaded crack-face
Y1 - 2005
ER -