TY - CHAP
A1 - Tran, Thanh Ngoc
A1 - Staat, Manfred
A1 - Kreißig, R.
T1 - Finite element shakedown and limit reliability analysis of thin shells
N2 - 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. In: Computational plasticity / ed. by Eugenio Onate. Dordrecht: Springer 2007. VII, 265 S. (Computational Methods in Applied Sciences ; 7) (COMPLAS IX. Part 1 . International Center for Numerical Methods in Engineering (CIMNE)). ISBN 978-1-402-06576-7 S. 186-189
KW - Finite-Elemente-Methode
KW - Limit analysis
KW - shakedown analysis
KW - Exact Ilyushin yield surface
KW - Random variable
KW - First Order Reliabiblity Method
Y1 - 2007
ER -
TY - CHAP
A1 - Tran, Thanh Ngoc
A1 - Staat, Manfred
A1 - Kreißig, R.
T1 - Calculation of load carrying capacity of shell structures with elasto-plastic material by direct methods
N2 - Proceedings of the International Conference on Material Theory and Nonlinear Dynamics. MatDyn. Hanoi, Vietnam, Sept. 24-26, 2007, 8 p. In this paper, a method is introduced to determine the limit load of general shells using the finite element method. The method is based on an upper bound limit and shakedown analysis with elastic-perfectly plastic material model. A non-linear constrained optimisation problem is solved by using Newton’s method in conjunction with a penalty method and the Lagrangean dual method. Numerical investigation of a pipe bend subjected to bending moments proves the effectiveness of the algorithm.
KW - Finite-Elemente-Methode
Y1 - 2007
ER -