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An analytical study on prediction of effective properties in porous and non-porous piezoelectric composites

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Abstract

Eshelby type micromechanics model with a newly developed piezoelectric Eshelby tensor is proposed for predicting the effective electroelastic properties of the piezoelectric composite. The model is applied for piezoelectric solids containing both porosities and metal inhomogeneities. The effective electroelastic moduli of the composites such as stiffness, piezoelectric constants, and dielectric constants are predicted by the present model, which are extensively compared with the existing experimental results from the literatures. The validity of Eshelby type model for predicting the effective properties of the composite is thoroughly examined. It can be concluded from this study that a new mechanism is needed to compute correctly the dielectric constants among the effective properties of the composites.

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Abbreviations

E :

Stress and electric displacement

L :

Electroelastic moduli

Z :

Strain and electric field

θ :

Stress

D :

Electric displacement

C :

Elastic moduli

e :

Piezoelectric constants

K :

Dielectric constants

ε :

Strain

E :

Electric field

D :

Piezoelectric composite domain

Ω:

Porosity or inhomogeneity domain

s :

Piezoelectric Eshelby tensor

∑∑:

Applied uniform stress and electric displacement

Z∑ :

Strain and electric field induced in the matrix without inhomogeneities by ∑∑

Z :

Average disturbance of the strain and electric field in the matrix

Z :

Disturbed strain and electric field in the inhomogeneities

Z* :

Equivalent eigenstrain and electric field of equivalent inclusion

Z c :

Total strain and electric field of the composite

Z m :

Total strain and electric fields in the matrix

Z f :

Total strain and electric fields in the inhomogeneities

Lc :

Effective electroelastic moduli of the composite

Vf :

Volume fraction of inhomogeneities

m :

Matrix

f :

Inhomogeneities, porosity or filler

c :

Composite

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  1. School of Mechanical and Automotive Engineering, Catholic University of Daegu, Gyeongbuk 712- 702, Gyeongsansi, Korea

    Jae-Kon Lee

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Jae-Kon, L. An analytical study on prediction of effective properties in porous and non-porous piezoelectric composites. J Mech Sci Technol 19, 2025–2031 (2005). https://doi.org/10.1007/BF02916495

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  • DOI: https://doi.org/10.1007/BF02916495

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