Time fractional derivative for frequency effect in ferroelectrics
The present article proposes a dynamical model to obtain ferroelectric hysteresis dynamics based on fractional derivatives (Polarization versus Electric field curves). The consideration of a fractional derivative term widely increases the frequency bandwidth of the accuracy of the traditional hysteresis models. For PZT bulk ceramics, the order of the fractional derivative has been found to be 0.5 using experimental data as 10-3Hz<?100Hz. For these excitation frequency levels, simulation tests provided good results regarding the comparison of the fractional model and experimental results. With the same set of parameters, it is possible to take into account the nonlinear behavior as ?. 0: creep phenomenon, ageing ... Next, the model was tested on large frequency bandwidths (>6 decades) and validated with success using the comparison between simulation tests and the only experimental results available in literature obtained in such conditions by Liu and al (J. Phys.:Condens. Matter., 2004, vol.16, pp.1189-1195) for BNT thin film samples. At such frequency levels (>102Hz), due to power limitations, no ceramic bulks experimental results were available.
B. Ducharne G. Sebald D. Guyomar
Laboratoire de Génie Electrique et Ferroélectricité – INSA de Lyon Bat.Gustave FERRIE,8 rue de la physique,69621 Villeurbanne cedex,FRANCE
国际会议
西安
英文
43-46
2009-08-23（万方平台首次上网日期，不代表论文的发表时间）