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.
Calculation of load carrying capacity of shell structures with elasto-plastic material by direct methods [link]Website  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{
 title = {Calculation of load carrying capacity of shell structures with elasto-plastic material by direct methods},
 type = {inproceedings},
 year = {2007},
 keywords = {Ilyushin yield surface,limit analysis,shakedown analysis,shells},
 pages = {1-8},
 websites = {http://opus.bibliothek.fh-aachen.de/opus/volltexte/2007/227/},
 id = {ba8e2a23-7ac0-315e-87d4-5ac103d03295},
 created = {2014-06-02T20:07:49.000Z},
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 last_modified = {2017-03-14T23:34:32.861Z},
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 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.},
 bibtype = {inproceedings},
 author = {Tran, Thanh Ngoc and Staat, Manfred and Kreißig, Reiner},
 booktitle = {CD-ROM Proceedings of the International Conference on Material Theory and Nonlinear Dynamics. MatDyn 2007. Hanoi, Vietnam, Sept. 24-26, 2007}
}

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