In Dieter, W. & Alan, P., editors, *Limit States of Materials and Structures*, volume 1, pages 135–156. Springer Netherlands, Dordrecht, 2009. ZSCC: NoCitationData[s0]

Paper doi abstract bibtex

Paper doi abstract bibtex

This paper concerns the development of a primal-dual algorithm for limit and shakedown analysis of Reissner-Mindlin plates made of von Mises material. At each optimization iteration, the lower bound of the shakedown load multiplier is calculated simultaneously with the upper bound using the duality theory. An edge-based smoothed finite element method (ES-FEM) combined with the discrete shear gap (DSG) technique is used to improve the accuracy of the solutions and to avoid the transverse shear locking behaviour. The method not only possesses all inherent features of convergence and accuracy from ES-FEM, but also ensures that the total number of variables in the optimization problem is kept to a minimum compared with the standard finite element formulation. Numerical examples are presented to demonstrate the effectiveness of the present method.

@incollection{tran_reliability_2009, address = {Dordrecht}, title = {Reliability analysis of inelastic shell structures under variable loads}, volume = {1}, copyright = {All rights reserved}, isbn = {978-1-4020-9633-4}, url = {http://www.springerlink.com/index/10.1007/978-1-4020-9634-1_7 http://link.springer.com/10.1007/978-1-4020-9634-1_7}, abstract = {This paper concerns the development of a primal-dual algorithm for limit and shakedown analysis of Reissner-Mindlin plates made of von Mises material. At each optimization iteration, the lower bound of the shakedown load multiplier is calculated simultaneously with the upper bound using the duality theory. An edge-based smoothed finite element method (ES-FEM) combined with the discrete shear gap (DSG) technique is used to improve the accuracy of the solutions and to avoid the transverse shear locking behaviour. The method not only possesses all inherent features of convergence and accuracy from ES-FEM, but also ensures that the total number of variables in the optimization problem is kept to a minimum compared with the standard finite element formulation. Numerical examples are presented to demonstrate the effectiveness of the present method.}, booktitle = {Limit {States} of {Materials} and {Structures}}, publisher = {Springer Netherlands}, author = {Trần, T.N. and Phạm, P.T. and Vũ, ÐK and Staat, Manfred}, editor = {Dieter, Weichert and Alan, Ponter}, year = {2009}, doi = {10.1007/978-1-4020-9634-1_7}, note = {ZSCC: NoCitationData[s0] }, pages = {135--156}, }

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