Ag. Luchaninov et al., Calculation of the piezoelectric, dielectric and elastic constants of ferroelectric ceramics, FERROELECTR, 222(1-4), 1999, pp. 353-357
The elastic compliance coefficients s(ik)*(E) ferroelectric ceramics have b
een calculated in the state at the arbitrary poling field as functions of t
he piezomoduli d(ik)* from the corresponding constants of single-domain cry
stal. For instance, it was shown that the crystallite "clamping" effect for
s(11)*(E) in ferroceramics is described by equation s(11)*(E)=s(11)*+(2 al
pha/3)d(31)*(2) (s(11)* is the elastic compliance coefficients of unpolariz
ed ceramics, and the constant alpha is the destressing factor describing th
e crystallite interaction).