Stress and temperaturedependent scaling behavior of dynamic hysteresis in soft PZT bulk ceramics
Abstract
Effects of electric fieldfrequency, electric fieldamplitude, mechanical stress, and temperature on the hysteresis area, especially the scaling form, were investigated in soft lead zirconate titanate (PZT) bulk ceramics. The hysteresis area was found to depend on the frequency and fieldamplitude with the same set of exponents as the powerlaw scaling for both with and without stresses. The inclusion of stresses into the powerlaw was obtained in the form of \langle {A  A_{\sigma = 0}}\rangle \propto f^{0.25} E_0 \sigma^{0.44} which indicates the difference in energy dissipation between the understress and stressfree conditions. The powerlaw temperature scaling relations were obtained for hysteresis area langArang and remanent polarization P_{r}, while the coercivity E_{C} was found to scale linearly with temperature T. The three temperature scaling relations were also fielddependent. At fixed field amplitude E_{0}, the scaling relations take the forms of \left\langle A \right\rangle \propto T^{  1.1024} , P_{r} ~T^{1.2322} and (E_{C0}  E_{C}) ~T.
 Publication:

Physica Scripta Volume T
 Pub Date:
 December 2007
 DOI:
 10.1088/00318949/2007/T129/042
 Bibcode:
 2007PhST..129..184Y