Please use this identifier to cite or link to this item:
https://hdl.handle.net/10316/11410
DC Field | Value | Language |
---|---|---|
dc.contributor.author | Figueiredo, Isabel M. Narra | - |
dc.contributor.author | Leal, Carlos M. Franco | - |
dc.date.accessioned | 2009-09-15T07:36:34Z | - |
dc.date.available | 2009-09-15T07:36:34Z | - |
dc.date.issued | 2004 | - |
dc.identifier.citation | Pré-Publicações DMUC. 04-28 (2004) | en_US |
dc.identifier.uri | https://hdl.handle.net/10316/11410 | - |
dc.description.abstract | We mathematically justify a reduced piezoelectric plate model. This is achieved considering the three-dimensional static equations of piezoelectricity, for a nonhomogeneous anisotropic thin plate, and using the asymptotic analysis to compute the limit of the displacement vector and electric potential, as the thickness of the plate approaches zero. We prove that the three-dimensional displacement vector converges to a Kirchhoff-Love displacement, that solves a two-dimensional piezoelectric plate model, defined on the middle surface of the plate. Moreover, the three-dimensional electric potential converges to a scalar function that is a second order polynomial with respect to the thickness variable, with coefficients that depend on the transverse component of the Kirchhoff-Love displacement. We remark that the results of this paper generalize a previous work of A. Sene (2001) for homogeneous and isotropic materials. | en_US |
dc.language.iso | eng | en_US |
dc.publisher | Centro de Matemática da Universidade de Coimbra | en_US |
dc.rights | openAccess | en_US |
dc.subject | Asymptotic analysis | en_US |
dc.subject | Anisotropic material | en_US |
dc.subject | Piezoelectricity | en_US |
dc.subject | Plate | en_US |
dc.title | A piezoelectric anisotropic plate model | en_US |
dc.type | preprint | en_US |
uc.controloAutoridade | Sim | - |
item.openairetype | preprint | - |
item.languageiso639-1 | en | - |
item.openairecristype | http://purl.org/coar/resource_type/c_816b | - |
item.cerifentitytype | Publications | - |
item.grantfulltext | open | - |
item.fulltext | Com Texto completo | - |
crisitem.author.researchunit | CMUC - Centre for Mathematics of the University of Coimbra | - |
crisitem.author.orcid | 0000-0002-0215-8851 | - |
Appears in Collections: | FCTUC Matemática - Artigos em Revistas Nacionais |
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File | Description | Size | Format | |
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A piezoelectric anisotropic plate model.pdf | 217.03 kB | Adobe PDF | View/Open |
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