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Um refinamento h, p e hp adaptativo na análise de flexao de placas semi-espessas

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Novotny, A. A.
Fancello, E. A.
Document typeArticle
Defense date1998
PublisherCentro Internacional de Métodos Numéricos en Ingeniería
Rights accessOpen Access
All rights reserved. This work is protected by the corresponding intellectual and industrial property rights. Without prejudice to any existing legal exemptions, reproduction, distribution, public communication or transformation of this work are prohibited without permission of the copyright holder
Abstract
O Método dos Elementos Finitos é utilizado através de suas versoes adaptativas h, p e hp para analisar problemas de flexáo elástica de placas semi-espessas. A abordagem adotada considera a influencia das deformacoes cisalhantes transversais, caracterizando, assim, a teoria de primeira ordem para flexiio de placas semi-espessas, conhecida por teoria de Reissner- Mindlin. Devido A complexidade no gerenciamento das informacoes em um problema autoadaptativo, é utilizada a filosofia de programaciio orientada a objetos (C++). Na discretizaciio do problema é adotada a base hierárquica para trigngulos de Webb e Abouchacra, recentemente proposta em12. O estimador de erro de Zienkiewicz e Zhu13 é utilizado para guiar o processo de refinamento da malha. Finalmente, sáo apresentados alguns resultados numéricos, sendo comparados, quando possível, com solucoes analíticas.
 
In this work, the Finite Element Method is used through its h, p and hp adaptive version to solve the Reissner-Mindlin plate elastic bending problem. The object oriented programming philosophy (C++) is employed in order to overcome the natural difficulties of handling information in a self-adaptive finite element code. The Webb and Abouchacra hierarchical basis for triangular e lements, recently proposed in12, is employed to discretize the plate domain. The adaptive refinement is done in accordance with the Zienkiewicz and Zhu error estimator13. Finally, some numerical results are shown, being compared with analytical solutions, when they are available.
CitationNovotny, A. A.; Fancello, E. A.. "Um refinamento h, p e hp adaptativo na análise de flexao de placas semi-espessas". Revista internacional de métodos numéricos, 1998, Vol. 14, núm. 1 
URIhttp://hdl.handle.net/2099/7920
ISSN1886-158X
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  • Revista internacional de métodos numéricos para cálculo y diseño en ingeniería - 1998, vol. 14, núm. 1 [6]
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