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Unified formulation for Reissner-Mindlin plates: a comparison with numerical results

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Unified formulation for Reissner-Mindlin plates: a comparison with numerical results

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dc.contributor.author Tassinari, Luca
dc.contributor.author Monleón Cremades, Salvador
dc.contributor.author GENTILINI, Cristina
dc.contributor.editor Domingo Cabo, Alberto es_ES
dc.contributor.editor Lázaro Fernández, Carlos Manuel es_ES
dc.date.accessioned 2009-12-11T22:47:07Z
dc.date.available 2009-12-11T22:47:07Z
dc.date.issued 2009-12-11T22:47:07Z
dc.identifier.isbn 978-84-8363-461-5
dc.identifier.uri http://hdl.handle.net/10251/6607
dc.description p. 2758-2770 en_EN
dc.description.abstract A non-standard formulation is applied to find analytical solutions for elastic plates considering shear deformation using a computer-aided approach. Classical formulations of mechanics of elastic body solve each particular problem by obtaining standard differential equations. In contrast, the unified formulation used in this paper, which is described in Tassinari et al. [9], is based on a matrix framework inspired by the finite element method. For this reason, an implementation using mathematical software can be efficiently applied. The aim of this study is to use the proposed computer-aided method to solve analytically the problem and to compare the results with the finite element model predictions. In order to illustrate this approach, the case of the Reissner-Mindlin plate problem with simply support on two opposite edges is investigated (Reissner [6], Mindlin [7]). In addition, the general validity of the method and its applicability to several problems of structural mechanics is discussed. The analytical solution for a particular load case is presented showing the differences between the Reissner-Mindlin solution and the predictions given by the Love-Kirchhoff model (Kirchhoff [4], Love [5]). Finally, the vertical displacement field obtained analytically for different thickness-to-side ratios is compared with finite element method predictions. The results obtained from the proposed analytical method and numerical models presented in this study are comparable. en_EN
dc.language Inglés en_EN
dc.publisher Editorial Universitat Politècnica de València es_ES
dc.relation.ispartof Symposium of the International Association for Shell and Spatial Structures (50th. 2009. Valencia). Evolution and Trends in Design, Analysis and Construction of Shell and Spatial Structures : Proceedings en_EN
dc.rights Reserva de todos los derechos en_EN
dc.subject Analytical solution en_EN
dc.subject Unified formulation en_EN
dc.subject Shell en_EN
dc.subject Plate en_EN
dc.subject Reissner-mindlin en_EN
dc.subject Love-kirchhoff en_EN
dc.subject Shear strain en_EN
dc.subject Finite element en_EN
dc.title Unified formulation for Reissner-Mindlin plates: a comparison with numerical results en_EN
dc.type Comunicación en congreso en_EN
dc.rights.accessRights Abierto es_ES
dc.description.bibliographicCitation Tassinari, L.; Monleon Cremades, S.; Gentilini, C. (2009). Unified formulation for Reissner-Mindlin plates: a comparison with numerical results. Symposium of the International Association for Shell and Spatial Structures. Editorial Universitat Politècnica de València. http://hdl.handle.net/10251/6607. es_ES
dc.relation.conferencename Symposium of the International Association for Shell and Spatial Structures es_ES
dc.relation.conferencedate 2009 es_ES
dc.relation.conferenceplace Valencia es_ES


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