Inproceedings,

Finite element shakedown and limit reliability analysis of thin shells

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Computational Plasticity. Fundamentals and Applications. COMPLAS IX. Part 1. International Center for Numerical Methods in Engineering (CIMNE), September 5-7, 2007, Barcelona, Spain, page 186--189. CIMNE, Barcelona, (2007)

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.

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