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Shakedown analysis of Reissner-Mindlin plates using the edge-based smoothed finite element method

  • 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.

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Metadaten
Author:Thanh Ngoc TranORCiD, Manfred StaatORCiD
DOI:https://doi.org/10.1007/978-94-007-6827-7_5
ISBN:978-94-007-6826-0 (Print) 978-94-007-6827-7 (Online)
Parent Title (English):Direct methods for limit states in structures and materials / Dieter Weichert ; Alan Ponter, ed.
Publisher:Springer
Place of publication:Dordrecht [u.a.]
Document Type:Part of a Book
Language:English
Year of Completion:2014
Date of the Publication (Server):2013/10/18
First Page:101
Last Page:117
Link:http://dx.doi.org/10.1007/978-94-007-6827-7_5
Zugriffsart:bezahl
Institutes:FH Aachen / Fachbereich Medizintechnik und Technomathematik
FH Aachen / IfB - Institut für Bioengineering
collections:Verlag / Springer