Shakedown analysis of Reissner-Mindlin plates using the edge-based smoothed finite element method. Trần, T. N. & Staat, M. In Spiliopoulos, K. & Weichert, D., editors, Direct Methods for Limit States in Structures and Materials, volume 3, pages 101–117. Springer Netherlands, Dordrecht, 2014. ZSCC: NoCitationData[s0]
Shakedown analysis of Reissner-Mindlin plates using the edge-based smoothed finite element method [link]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_shakedown_2014,
	address = {Dordrecht},
	title = {Shakedown analysis of {Reissner}-{Mindlin} plates using the edge-based smoothed finite element method},
	volume = {3},
	copyright = {All rights reserved},
	isbn = {978-94-007-6826-0},
	url = {http://link.springer.com/10.1007/978-94-007-6827-7_5},
	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 = {Direct {Methods} for {Limit} {States} in {Structures} and {Materials}},
	publisher = {Springer Netherlands},
	author = {Trần, Thanh Ngọc and Staat, Manfred},
	editor = {Spiliopoulos, Konstantinos and Weichert, Dieter},
	year = {2014},
	doi = {10.1007/978-94-007-6827-7_5},
	note = {ZSCC: NoCitationData[s0] },
	pages = {101--117},
}

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