M. Avellaneda et Pj. Swart, CALCULATING THE PERFORMANCE OF 1-3 PIEZOELECTRIC COMPOSITES FOR HYDROPHONE APPLICATIONS - AN EFFECTIVE-MEDIUM APPROACH, The Journal of the Acoustical Society of America, 103(3), 1998, pp. 1449-1467
A new method is presented for evaluating the performance of 1-3 polyme
r/piezoelectric ceramic composites for hydrophone applications. The Po
isson's ratio effect, i.e., the enhancement of the hydrostatic perform
ance which can be achieved by mixing piezoelectric ceramics with polym
ers, is studied in detail. Using an ''effective medium'' approach, alg
ebraic expressions are derived for the composite hydrostatic charge co
efficient d(h), the hydrostatic figure of merit d(h)g(h), and the hydr
ostatic electromechanical coupling coefficient k(h) in terms of the pr
operties of the constituent materials, the ceramic volume fraction, an
d a microstructural parameter p. The high contrast in stiffness and di
electric constants existing between the two phases can be exploited to
derive simple, geometry-independent approximations which explain quan
titatively the Poisson's ratio effect. It is demonstrated that the sti
ffness and the Poisson's ratio of the polymer matrix play a crucial ro
le in enhancing hydrophone performance. Using a differential scheme to
model the parameter p, we evaluate d(h), d(h)g(h), and k(h) for polym
er/piezoelectric ceramic systems at varying compositions. Several exam
ples involving Pb (Zr, Ti)O-3 and (Pb, Ca)TiO3 piezoelectric ceramics
are given to illustrate the theory. (C) 1998 Acoustical Society of Ame
rica. [S0001-4966(97)00506-7].