Uncertainty multimode failure and shakedown analysis of shells
Direct Methods for Limit and Shakedown Analysis of Structures, 4, chapter 14, Springer International Publishing, Cham, (2015)DOI: 10.1007/978-3-319-12928-0_14
Abstract
This paper presents a numerical procedure for reliability analysis of thin plates and shells with respect to plastic collapse or to inadaptation. The procedure involves a deterministic shakedown analysis for each probabilistic iteration, which is based on the upper bound approach and the use of the exact Ilyushin yield surface. Probabilistic shakedown analysis deals with uncertain-ties originated from the loads, material strength and thickness of the shell. Based on a direct definition of the limit state function, the calculation of the failure probability may be solved efficiently solved by using the First and Second Order Reliability Methods (FORM and SORM). The problem of reliability of structural systems (series systems) will be handled by the application of a special technique, which permits to find all the design points correspond-ing to all the failure modes. Studies show, in this case, that it improves con-siderably the FORM and SORM results.