The Effect of Electrical Boundary Conditions on the Thermal Properties   of Ferroelectric Piezoelectric Ceramics
  The thermal conductivity of polycrystalline bulk PZT (lead-zirconate-titanate) has been investigated according to electrical boundary conditions and poling. The thermal conductivity of poled PZT was measured in the poling direction for open circuit and short circuit conditions. The short circuit thermal conductivity had the largest thermal conductivity. The relationship between these two thermal properties, the electrothermal coupling factor $k_{33}^{\kappa}$, was found to be similar to the electromechanical coupling factor $k_{33}$ relating elastic compliance under short circuit and open circuit conditions. The thermal conductivity of the unpoled sample was found to have the lowest thermal conductivity. The significance of the thermal conductivity with regards to phonon mode scattering and elastic compliance was discussed. 
Husain N. Shekhani, Erkan A. Gurdal, Lalitha Ganapatibhotla, Janna K.   Maranas, Ron Staut, and Kenji Uchino
cond-mat.mtrl-sci