Static effective characteristics in piezoelectric composite materials

Abstract

An analysis of the static behavior using the self-consistent effective medium method for a composite with randomly aligned spheroidal inclusions embedded in a matrix is studied. The constituents of which may have piezoelectric properties. Based on the self-consistent method proposed by F.J. Sabina and V. Levin an analysis of the static overall properties is developed for piezoelectric composites. The electroelastic Green's functions by Willis's approach is developed and the spheroidal shape inclusion is studied with the help of it. In that sense, the influence of various geometrical forms of the inclusions is analyzed. Comparisons with other self-consistent methods, finite element calculations, two scale asymptotic homogenization method and with experimental data show good results. [3249][3250][3251][3252][3253][3254][3255][3256][3257][3258][3259][3260][3261][3262][3263][3264] h i r .x, t/ D 1 j r j Z r . /.x, t, x 0 /dx 0 .(2.10)

Numerical Modeling of PZT- Piezoelectric Composites with Passive and Active Polymer Matrix

“…The numerical constants for materials used in this study are presented in Table 1. The values for Araldite-D polymer and PZT-7A are taken from [1,7] and for PVDF polymer from [11]. The volume fraction of PZT-7A fiber inclusion is varied from zero to one hundred percent.…”

Maxwell homogenization scheme for piezoelectric composites with arbitrarily-oriented spheroidal inhomogeneities

“…The matrix Q (r ) is expressed in terms of the second derivatives of the electro-elastic Green's function (a 4 × 4 matrix with components G li (x), G l4 (x), G 4i (x) and G 44 (x)), which is derived following the authors of Refs. [26][27][28]:…”