Título: | IMPLEMENTATION OF PLANE HYBRID FINITE ELEMENTS FOR THE ANALYSIS OF THIN OR MODERATELY THICK PLATES AND SHELLS | ||||||||||||
Autor: |
RENAN COSTA SALES |
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Colaborador(es): |
NEY AUGUSTO DUMONT - Orientador |
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Catalogação: | 10/DEZ/2021 | Língua(s): | PORTUGUESE - BRAZIL |
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Tipo: | TEXT | Subtipo: | THESIS | ||||||||||
Notas: |
[pt] Todos os dados constantes dos documentos são de inteira responsabilidade de seus autores. Os dados utilizados nas descrições dos documentos estão em conformidade com os sistemas da administração da PUC-Rio. [en] All data contained in the documents are the sole responsibility of the authors. The data used in the descriptions of the documents are in conformity with the systems of the administration of PUC-Rio. |
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Referência(s): |
[pt] https://www.maxwell.vrac.puc-rio.br/projetosEspeciais/ETDs/consultas/conteudo.php?strSecao=resultado&nrSeq=56517&idi=1 [en] https://www.maxwell.vrac.puc-rio.br/projetosEspeciais/ETDs/consultas/conteudo.php?strSecao=resultado&nrSeq=56517&idi=2 |
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DOI: | https://doi.org/10.17771/PUCRio.acad.56517 | ||||||||||||
Resumo: | |||||||||||||
The hybrid finite element formulation, proposed by Pian, on the
basis of the Hellinger-Reissner variational principle, has proved to be a
good alternative for the development of efficient finite elements that best
attend compatibility and equilibrium conditions. The Hellinger-Reissner
potential assumes two trial fields: a stress field that satisfies the equilibrium
homogenous differential equation in the domain and a displacement field
that attends the compatibility along the boundary. The set of nonsingular
functions that satisfy the governing equations of the problem is known as
Trefftz or fundamental solutions. This work presents a general methodology
for the formulation of a family of polygonal hybrid elements for plane strain
problems, as well as simple and efficient plate elements for the numerical
evaluation of Kirchhoff and Mindlin-Reissner plate problems. Conceptual
approaches are introduced for the correct use of fundamental solutions in
the plate elements formulation. The performance of the proposed hybrid
elements is assessed by means of several numerical examples from the
literature.
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