Finite element shakedown and limit reliability analysis of thin shells. Trần, T. N., Staat, M., & Kreißig, R. In Oñate, E., Owen, D R J, & Suárez, B, editors, Computational Plasticity. Fundamentals and Applications. COMPLAS IX. Part 1. International Center for Numerical Methods in Engineering (CIMNE), September 5-7, 2007, Barcelona, Spain, pages 186–189, 2007. CIMNE, Barcelona. ZSCC: NoCitationData[s0]
Finite element shakedown and limit reliability analysis of thin shells [link]Paper  abstract   bibtex   
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.
@inproceedings{tran_finite_2007,
	title = {Finite element shakedown and limit reliability analysis of thin shells},
	copyright = {All rights reserved},
	url = {http://opus.bibliothek.fh-aachen.de/opus/volltexte/2007/233/},
	abstract = {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.},
	booktitle = {Computational {Plasticity}. {Fundamentals} and {Applications}. {COMPLAS} {IX}. {Part} 1. {International} {Center} for {Numerical} {Methods} in {Engineering} ({CIMNE}), {September} 5-7, 2007, {Barcelona}, {Spain}},
	publisher = {CIMNE, Barcelona},
	author = {Trần, Thanh Ngọc and Staat, Manfred and Kreißig, Reiner},
	editor = {Oñate, Eugenio and Owen, D R J and Suárez, B},
	year = {2007},
	note = {ZSCC: NoCitationData[s0]},
	keywords = {First Order Reliabib, exact Ilyushin yield surface},
	pages = {186--189},
}

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