Analytical formulae for electromechanical effective properties of 3-1 longitudinally porous piezoelectric materials
Contribuinte(s) |
UNIVERSIDADE DE SÃO PAULO |
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Data(s) |
18/10/2012
18/10/2012
2009
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Resumo |
A unidirectional fiber composite is considered here, the fibers of which are empty cylindrical holes periodically distributed in a transversely isotropic piezoelectric matrix, The empty-fiber cross-section is circular and the periodicity is the same in two directions at an angle pi/2 or pi/3. Closed-form formulae for all electromechanical effective properties of these 3-1 longitudinally periodic porous piezoelectric materials are presented. The derivation of such expressions is based on the asymptotic homogenization method as a limit of the effective properties of two-phase transversely isotropic parallel fiber-reinforced composites when the fibers properties tend to zero. The plane effective coefficients satisfy the corresponding Schulgasser-Benveniste-Dvorak universal type of relations, A new relation among the antiplane effective constants from the solutions of two antiplane strains and potential local problems is found. This relation is valid for arbitrary shapes of the empty-fiber cross-sections. Based on such a relation, and using recent numerical results for isotropic conductive composites, the antiplane effective properties are computed for different geometrical shapes of the empty-fiber cross-section. Comparisons with other analytical and numerical theories are presented. (c) 2008 Acta Materialia Inc. Published by Elsevier Ltd. All rights reserved. |
Identificador |
ACTA MATERIALIA, v.57, n.3, p.795-803, 2009 1359-6454 http://producao.usp.br/handle/BDPI/17882 10.1016/j.actamat.2008.10.015 |
Idioma(s) |
eng |
Publicador |
PERGAMON-ELSEVIER SCIENCE LTD |
Relação |
Acta Materialia |
Direitos |
restrictedAccess Copyright PERGAMON-ELSEVIER SCIENCE LTD |
Palavras-Chave | #Porous material #Piezoelectricity #Electroceramics #TRANSVERSELY ISOTROPIC CONSTITUENTS #FIBER-REINFORCED COMPOSITE #EFFECTIVE COEFFICIENTS #UNIVERSAL RELATIONS #EXPRESSIONS #SYMMETRY #Materials Science, Multidisciplinary #Metallurgy & Metallurgical Engineering |
Tipo |
article original article publishedVersion |