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.
Finite element shakedown and limit reliability analysis of thin shells [link]Website  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{
 title = {Finite element shakedown and limit reliability analysis of thin shells},
 type = {inproceedings},
 year = {2007},
 keywords = {First Order Reliabib,exact Ilyushin yield surface},
 pages = {186-189},
 websites = {http://opus.bibliothek.fh-aachen.de/opus/volltexte/2007/233/},
 institution = {CIMNE, Barcelona},
 id = {0b88a293-beec-387b-997c-833e42107c92},
 created = {2014-06-02T20:07:49.000Z},
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 last_modified = {2018-12-30T15:59:38.088Z},
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 citation_key = {tran2007finite},
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 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.},
 bibtype = {inproceedings},
 author = {Trần, Thanh Ngọc and Staat, Manfred and Kreißig, Reiner},
 editor = {Oñate, Eugenio and Owen, D R J and Suárez, B},
 booktitle = {Computational Plasticity. Fundamentals and Applications. COMPLAS IX. Part 1. International Center for Numerical Methods in Engineering (CIMNE), September 5-7, 2007, Barcelona, Spain}
}

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