Limit and shakedown analysis of plates and shells including uncertainties [Elektronische Ressource] / von Thanh Ngọc Trân

LIMIT AND SHAKEDOWN ANALYSIS OF PLATES AND SHELLS INCLUDING UNCERTAINTIES Von der Fakultät für Maschinenbau der Technischen Universität Chemnitz genehmigte Dissertation zur Erlangung des akademischen Grades Doktoringenieur (Dr.-Ing.) vorgelegt von MSc. Thanh Ng ọc Tr ần geboren am 03. Februar 1975 in Nam Dinh, Vietnam eingereicht am 12. Dezember 2007 Gutachter: Prof. Dr.-Ing. Reiner Kreißig Prof. Dr.-Ing. Manfred Staat Prof. Dr.-Ing. Christos Bisbos Tag der Verteidigung: 12. März 2008 Tr ần, Thanh Ng ọc Limit and shakedown analysis of plates and shells including uncertainties Dissertation an der Fakultät für Maschinenbau der Technischen Universität Chemnitz, Institut für Mechanik und Thermodynamik, Chemnitz 2008 149 + vii Seiten 55 Abbildungen 28 Tabellen 162 Literaturzitate Referat The reliability analysis of plates and shells with respect to plastic collapse or to inadaptation is formulated on the basis of limit and shakedown theorems. The loading, the material strength and the shell thickness are considered as random variables. Based on a direct definition of the limit state function, the nonlinear problems may be efficiently solved by using the First and Second Order Reliability Methods (FORM/SORM). The sensitivity analyses in FORM/SORM can be based on the sensitivities of the deterministic shakedown problem.