Hybrid and multi-field variational principles for geometrically exact three-dimensional beams
| Contribuinte(s) |
UNIVERSIDADE DE SÃO PAULO |
|---|---|
| Data(s) |
18/10/2012
18/10/2012
2010
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| Resumo |
This paper addresses the development of several alternative novel hybrid/multi-field variational formulations of the geometrically exact three-dimensional elastostatic beam boundary-value problem. In the framework of the complementary energy-based formulations, a Legendre transformation is used to introduce the complementary energy density in the variational statements as a function of stresses only. The corresponding variational principles are shown to feature stationarity within the framework of the boundary-value problem. Both weak and linearized weak forms of the principles are presented. The main features of the principles are highlighted, giving special emphasis to their relationships from both theoretical and computational standpoints. (C) 2010 Elsevier Ltd. All rights reserved. Instituto de Engenharia de Estruturas, Territorio e Construcao FEDER Fundacao para a Ciencia e Tecnologia (FCT)[SFRH/BD/22666/2005] Fundacao para a Ciencia e Tecnologia (FCT)[POCI/56999/ECM/2004] |
| Identificador |
INTERNATIONAL JOURNAL OF NON-LINEAR MECHANICS, v.45, n.8, p.809-820, 2010 0020-7462 http://producao.usp.br/handle/BDPI/18212 10.1016/j.ijnonlinmec.2010.06.003 |
| Idioma(s) |
eng |
| Publicador |
PERGAMON-ELSEVIER SCIENCE LTD |
| Relação |
International Journal of Non-linear Mechanics |
| Direitos |
restrictedAccess Copyright PERGAMON-ELSEVIER SCIENCE LTD |
| Palavras-Chave | #Three-dimensional beams #Geometrically exact analysis #Complementary energy #Hybrid and multi-field variational principles #FINITE-ELEMENT FORMULATION #SPACE-CURVED BEAMS #COMPUTATIONAL ASPECTS #NONLINEAR DYNAMICS #MULTIBODY SYSTEMS #STRAIN MEASURES #CROSS-SECTION #ROD MODEL #ROTATIONS #IMPLEMENTATION #Mechanics |
| Tipo |
article original article publishedVersion |
