Journal
INTERNATIONAL JOURNAL OF ENGINEERING SCIENCE
Volume 158, Issue -, Pages -Publisher
PERGAMON-ELSEVIER SCIENCE LTD
DOI: 10.1016/j.ijengsci.2020.103410
Keywords
Piezoelectricity; Flexoelectricity; Homogenization; Variational principles; Effective properties; Composite materials
Categories
Funding
- Department of Education and Science of the Russian Federation [14, Z50.31.0036]
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The effective piezoelectric properties of heterogeneous materials were evaluated using periodic homogenization, with a variational formulation developed. It was found that the entire set of homogenized piezoelectric moduli can be obtained by weighting the microscopic properties of individual constituents with displacement and polarization localization operators.
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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