Utilize este identificador para referenciar este registo: http://hdl.handle.net/1822/32192

TítuloA model for bending and stretching of piezoelectric rods obtained by asymptotic analysis
Autor(es)Viaño, J. M.
Figueiredo, Jorge Manuel
Ribeiro, Carolina Paula Baptista
Rodríguez-Arós, Á.
Palavras-chaveRods
Elasticity
Piezoelasticity
Asymptotic analysis
Data2015
EditoraSpringer Verlag
RevistaZeitschrift für Angewandte Mathematik und Physik
Resumo(s)The aim of this paper was to obtain a new model for the bending-stretching of an anisotropic heterogeneous linearly piezoelectric cantilever rod when the electric potential is applied on the both ends. The process is assumed to be static, and the piezoelectric material is monoclinic of class 2. To derive the model, we start with the corresponding three-dimensional problem, introduce a change of variable together with a scaling of the unknowns and then we use a passage to the limit procedure, based on arguments of asymptotic analysis taking the diameter of the cross-section as small parameter. Finally, we prove a result of strong convergence that justifies both the method and the one-dimensional model obtained. One of the most relevant features of this one-dimensional model is that the stretching is coupled with the electric potential, while the bendings are not.
Tipoarticle
Descrição"Published online 15 July 2014"
URIhttp://hdl.handle.net/1822/32192
DOI10.1007/s00033-014-0438-1
ISSN0044-2275
1420-9039
Versão da editorahttp://link.springer.com/article/10.1007/s00033-014-0438-1
Arbitragem científicayes
AcessorestrictedAccess
Aparece nas coleções:CMAT - Artigos com arbitragem/Papers with refereeing

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