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

Nagham Mawassy; Hilal Reda; Jean-François Ganghoffer; Victor Eremeev; Hassan Lakiss

doi:10.1016/j.ijengsci.2020.103410

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

Abstract

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.

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Authors (5)

Nagham Mawassy Dr
Hilal Reda Dr
Jean-François Ganghoffer Dr.hab. Prof.
Victor Eremeev prof. dr hab.
Hassan Lakiss Dr

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Category:: Articles
Type:: artykuły w czasopismach
Published in:: INTERNATIONAL JOURNAL OF ENGINEERING SCIENCE no. 158,
ISSN: 0020-7225
Language:: English
Publication year:: 2021
Bibliographic description:: Mawassy N., Reda H., Ganghoffer J., Eremeev V., Lakiss H.: A variational approach of homogenization of piezoelectric composites towards piezoelectric and flexoelectric effective media// INTERNATIONAL JOURNAL OF ENGINEERING SCIENCE -Vol. 158, (2021), s.103410-
DOI:: Digital Object Identifier (open in new tab) 10.1016/j.ijengsci.2020.103410
Verified by:: Gdańsk University of Technology