A variational approach of homogenization of piezoelectric composites towards piezoelectric and flexoelectric effective media

被引：50
|
作者：
Mawassy, Nagham [1 ]
Reda, Hilal [1 ,2 ]
Ganghoffer, Jean-Francois [3 ]
Eremeyev, Victor A. [4 ,5 ]
Lakiss, Hassan [1 ]
机构：
[1] Lebanese Univ, Fac Engn, Sect 3, Campus Rafic Hariri, Beirut, Lebanon
[2] Int Univ Beirut BIU, SDM Res Grp, Beirut, Lebanon
[3] Univ Lorraine, CNRS, LEM3, UMR CNRS 7239, 7 Rue Felix Savart, F-57070 Metz, France
[4] Gdansk Univ Technol, Ul Gabriela Narutowicza 11-12, PL-80233 Gdansk, Poland
[5] RE Alekseev Nizhny Novgorod Tech Univ, Minin St 24, Nizhnii Novgorod 603950, Russia
来源：
INTERNATIONAL JOURNAL OF ENGINEERING SCIENCE | 2021年 / 158卷
关键词：
Piezoelectricity; Flexoelectricity; Homogenization; Variational principles; Effective properties; Composite materials; NANOSCALE;
D O I：
10.1016/j.ijengsci.2020.103410
中图分类号：
T [工业技术];
学科分类号：
08 ;
摘要：
The effective piezoelectric properties of heterogeneous materials are evaluated in the context of periodic homogenization, whereby a variational formulation is developed, articulated with the extended Hill macrohomogeneity condition. The entire set of homogenized piezoelectric moduli is obtained as the volumetric averages of the microscopic properties of the individual constituents weighted by the displacement and polarization localization operators. This framework is extended in a second part of the paper to the computation of the flexoelectric effective properties, thereby accounting for higher gradient effects that may be induced by a strong contrast of properties of the composite constituents. The effective properties of inclusion-based composites are evaluated numerically as an illustration of the general homogenization theory and the respective effect of the volume fraction and relative tensile modulus of the reinforcement is assessed numerically. (C) 2020 Elsevier Ltd. All rights reserved.
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页数：23
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