Temperature dependence of the complete material coefficients matrix of soft and hard doped piezoelectric lead zirconate titanate ceramics

Abstract

We have used resonance methods to determine the variation of all the independent piezoelectric, elastic, and dielectric material coefficients, as well as the corresponding electromechanical coupling factors, of soft and hard doped piezoelectric lead zirconate titanate (PZT) ceramics with compositions near the morphotropic phase boundary, as a function of temperature ranging between −165 and 195°C. The material coefficients were obtained by analyzing the fundamental resonance of the impedance or admittance spectra as a function of frequency for several sample resonance geometries. The piezoelectric coefficients d33, −d31, and d15, as well as the dielectric permittivity coefficients ε11T and ε33T, generally increased with temperature for both soft and hard PZT samples. However, the elastic compliance coefficients s11E, −s12E, s33E, and s55E exhibited abnormal variations seen as broad peaks over parts of the tested temperature range. Additionally, thermal hystereses were observed in all the studied material coefficients over the temperature cycle. Finally, it was noted that, overall, the material coefficients of soft PZT varied significantly more than those of hard PZT under changing temperature conditions.

Temperature- and dc bias field- dependent piezoelectric effect of soft and hard lead zirconate titanate ceramics

“…The red line was determined by the resonance method; the black line was determined by the quasi-static method 55%), while for P5H ceramic d 33 firstly decreases and then increases with temperature. In other published results, the d coefficients generally increase with increasing temperature for Pb-based ferroelectrics [4,[8][9][10].…”

“…Therefore, it is very important to study the temperature-and dc bias field-dependent piezoelectric response of PZT piezoelectric ceramics. Although a number of studies have been focused on the temperatureand dc bias field-dependent piezoelectric response through converse piezoelectric response [2][3][4], evaluation of these dependences through direct piezoelectric effect is still expected.…”

Temperature dependence of self-consistent full matrix material constants of lead zirconate titanate ceramics

“…[4][5][6][7] Sample to sample variation will lead to inconsistency of the full matrix material constants, 8,9 and the problem becomes even worse at higher temperatures. For example, we have extracted the only set of available complete matrix data of PZT ceramics in the literature 4 using the software Engauge. Why is such inconsistency unavoidable in the high temperature measurements of piezoelectric materials?…”

“…Kamiya et al 3 investigated the temperature dependence of material parameters d 31 , s E 11 , e T 33 , and k 31 of a tetragonal and a rhombohedral lead zirconate titanate (PZT) by the least squares fitting of complex admittance data, but the data set is incomplete and there is no way to check on their self-consistency. Sabat et al 4 investigated the temperature dependence of the full matrix material constants of soft and hard doped PZTs by the resonant method, in which five samples with different geometries were used. Zhang et al…”

GIADA performance during Rosetta mission scientific operations at comet 67P

“…the temperature. The PZT sensors are sensitive to temperature variations (Sabat et al, 2007;Sherrit et al, 1999) and sensor ageing (Berlincourt et al, 2000). Temperature variations are induced by Rosetta spacecraft -Sun distance changes and by specific observational geometries.…”