Utilize este identificador para referenciar este registo:
https://hdl.handle.net/1822/32192
Título: | A 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-chave: | Rods Elasticity Piezoelasticity Asymptotic analysis Piezoelectricity |
Data: | 2015 |
Editora: | Springer Verlag |
Revista: | Zeitschrift 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. |
Tipo: | Artigo |
Descrição: | "Published online 15 July 2014" |
URI: | https://hdl.handle.net/1822/32192 |
DOI: | 10.1007/s00033-014-0438-1 |
ISSN: | 0044-2275 1420-9039 |
Versão da editora: | http://link.springer.com/article/10.1007/s00033-014-0438-1 |
Arbitragem científica: | yes |
Acesso: | Acesso restrito UMinho |
Aparece nas coleções: | CMAT - Artigos em revistas com arbitragem / Papers in peer review journals |
Ficheiros deste registo:
Ficheiro | Descrição | Tamanho | Formato | |
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piezo1d_ends.pdf Acesso restrito! | 400,82 kB | Adobe PDF | Ver/Abrir |