Calculation of load carrying capacity of shell structures with elasto-plastic material by direct methods. Tran, T. N., Staat, M., & Kreißig, R. In CD-ROM Proceedings of the International Conference on Material Theory and Nonlinear Dynamics. MatDyn 2007. Hanoi, Vietnam, Sept. 24-26, 2007, pages 1–8, 2007. ZSCC: 0000000
Calculation of load carrying capacity of shell structures with elasto-plastic material by direct methods [link]Paper  abstract   bibtex   
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.
@inproceedings{tran_calculation_2007,
	title = {Calculation of load carrying capacity of shell structures with elasto-plastic material by direct methods},
	copyright = {All rights reserved},
	url = {http://opus.bibliothek.fh-aachen.de/opus/volltexte/2007/227/},
	abstract = {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.},
	booktitle = {{CD}-{ROM} {Proceedings} of the {International} {Conference} on {Material} {Theory} and {Nonlinear} {Dynamics}. {MatDyn} 2007. {Hanoi}, {Vietnam}, {Sept}. 24-26, 2007},
	author = {Tran, Thanh Ngoc and Staat, Manfred and Kreißig, Reiner},
	year = {2007},
	note = {ZSCC: 0000000},
	keywords = {Ilyushin yield surface, limit analysis, shakedown analysis, shells},
	pages = {1--8},
}

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