Abstract
A mathematical expression is derived for the piezoelectric constant of a disperse system in which piezoelectric, anisotropic, spherical particles are uniformly dispersed in a nonpiezoelectric, isotropic, continuous medium.For the case when the sphere has the face-shear-type piezoelectricity and the system is incompressible, the piezoelectric strain constant d14 for the disperse system is given as
where φ is the volume fraction of spheres, d14II the piezoelectric strain constant of the sphere, ε the dielectric constant, G the elastic constant, and the superscripts I and II refer to the medium and sphere, respectively.For the case when the sphere is extremely rigid and has length-expansion and thickness-expansion types of piezoelectricity, the piezoelectric strain constants d31, d32, d33 under the approximation φ<<1 are given as
where KI is the bulk modulus of the medium and α=4GI/3KI.
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Date, M. The Piezoelectric Constant for Disperse Systems. Polym J 8, 60–66 (1976). https://doi.org/10.1295/polymj.8.60
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DOI: https://doi.org/10.1295/polymj.8.60