Modeling of poling behavior of ferroelectric 3–3 composites

Piezoelectric 3–3 composites are often prepared from unpoled PZT ceramics and polymer matrices. During the poling process the PZT cannot deform freely due to the clamping by the surrounding polymer, which after poling results in the occurrence of residual mechanical stress in the composite. Based on the multi-linear constitutive model of ferroelectric and ferroelastic piezoceramics, a nonlinear finite element analysis was performed within the representative volume element to model the poling behavior of this kind of composites, in which appropriate periodic boundary conditions were prescribed for the displacements and the electric field of the composites. Considering the fact from experimental data that changes of the remanent strain induced by the switching process are volume preserving, we introduced different criteria in evaluating the maximum and minimum values of the ferroelastic strain S^f. A numerical simulation was then conducted to investigate the effects of different poling voltages and volume fractions of the PZT ceramic on the distribution of residual mechanical stress in the PZT of composites. The results show that if V_f < 18% a portion of the compressive mechanical stress in the poling direction on the PZT ceramic may cause a mechanical depolarization of the PZT ceramic.     

A model for the structural hysteresis in poling and thermal depoling of PZT ceramics

A structural hysteresis associated with domain orientation during poling and thermal depoling of lead titanate zirconate (PZT) ceramics has been observed. The poled materials appear to lose their piezoelectric properties at a temperature somewhat below the Curie temperature and yet the domain configurations remain unchanged. The above phenomenon is successfully explained by a model which predicts that upon thermal depolarization, poled ceramics undergo transformation from the poled state into the antiferroelectric state before returning back to their original unpoled state.     

PZN-PZT压电陶瓷及其PVDF压电复合材料的制备和性能

采用固相烧结法合成了PZN-PZT(铌锌锆钛酸铅)三元系压电陶瓷烧结块材和粉末,并采用XRD、SEM等测试方法对其结构和性能进行了分析。PZN-PZT常压烧结陶瓷具有优良的压电性能,PZN-PZT颗粒粒径在0.5~4 μm之间,颗粒形态不太规整。采用溶液共混法将PZN-PZT粒子均匀分散于PVDF基体中,制备了PZN-PZT/PVDF 0-3型压电复合材料。研究了PZN-PZT质量分数、极化电场等因素对该压电复合材料压电和介电性能的影响。实验结果表明,选用压电活性更高的压电陶瓷粉末进行复合,可有效提高压电复合材料的压电性能。增加PZN-PZT质量分数、提高极化电压均有利于复合材料压电性能的提高。     

Effects of remanent field on an elliptical flaw and a crack in a poled piezoelectric ceramic

Commonly used piezoelectric ceramics such as PZT and PLZT are polarized ferroelectric polycrystals. After poling, remanent strains and a remanent polarization exist in a ceramic material. Remanent field can affect the electroelastic field and consequently plays a critical role in fracture of poled ceramics. Based on a linear constitutive law, the electroelastic field and the energy release rate of an elliptical cavity (or a crack) in a poled piezoelectric are re-examined in this study by including the effects of remanent field. It is noted that the remanent field generally has a minor effect on the stress field and a pronounced effect on the electric field at the apex of the major axis of an elliptical flaw. When the permittivity of the cavity is small, the effect of remanent polarization is similar to that of a very strong electric field applied along the poling direction. However, for the case of a conducting flaw, the remanent field does not influence the electroelastic field and energy release rate. Energy release rate of a flaw in a poled ferroelectric ceramic with and without the remanent polarization is generally different.     

Effect of Electric Field on the Response of Clamped-FreeMagnetostrictive/Piezoelectric/Magnetostrictive Laminates

This work deals with the response of clamped-free magnetostrictive/piezoelectric/magnetostrictive laminates under electric field both numerically and experimentally. The laminate is fabricated using two magnetostrictive Terfenol-D layers and a soft piezoelectric PZT layer. Easy axis of Terfenol-D layers is length direction, while the polarization of PZT layer is the thickness direction. The magnetostriction of the Terfenol-D layers bonded to the upper and lower surfaces of the PZT layer is first measured. Next, a nonlinear finite element analysis is employed to evaluate the second-order magnetoelastic constants in the Terfenol-D layers bonded to the PZT layer using measured data. The induced magnetic field and internal stresses for the laminates under electric field parallel to the poling are then calculated and discussed in detail. In addition, the induced magnetic field is measured, and test results are presented to validate the predictions.     

Effect of MnO2, Bi2O3, and ZnO additions on the electrical properties of lead zirconate titanate piezoceramics

The effect of manganese dioxide additions on the electrical properties of lead zirconate titanate (PZT) piezoceramics has been investigated. The results demonstrate that, taken alone, manganese dioxide does not ensure the formation of hard PZT. The valence state of manganese in the piezoceramics is shown to be 4+ if no other dopants are present and 3+ if manganese is introduced in combination with Bi and Zn. Microstructural examination indicates that the grain size of the singly doped ceramics is 5–15 μm, while that of the codoped ceramics is 1–3 μm. The polarization current curves of the piezoceramics containing manganese, bismuth, and zinc oxides have extra maxima, which points to significant internal fields. The manganese is shown to reside at grain boundaries. The conclusion is made that it is the composition of Mn-containing intergranular phases, rather than the presence of manganese ions, that plays a key role in the formation of hard piezoceramics. Original Russian Text ? V.V. Klimov, N.I. Selikova, A.N. Bronnikov, 2006, published in Neorganicheskie Materialy, 2006, Vol. 42, No. 5, pp. 634–638.     

锰掺杂对硬性PZT材料压电性能的影响

研究了锰掺杂对ＰＺＴ材料微结构及压电性能的影响,并用ＥＳＲ确定了锰在ＰＺＴ材料中的价态．结果表明,锰在ＰＺＴ材料中主要以 Ｍｎ^２＋和 Ｍｎ^３＋的方式共存．锰在ＰＺＴ陶瓷材料中的“溶解度”约为１．５ｍｏｌ％．锰含量＜０．５ｍｏｌ％时,Ｍｎ将以Ｍｎ^２＋和Ｍｎ^３＋的方式优先进入晶格 Ｐｂ位,使材料的压电性能提高,表现出施主杂质特性;锰浓度处于 ０．５～１．５ ｍｏｌ％时,部分Ｍｎ将以Ｍｎ^３＋或Ｍｎ^２＋的方式进入晶格中（Ｚｒ;Ｔｉ）位,而此浓度范围内锰掺杂的ＰＺＴ材料同时表现出“软性”和“硬性”材料的压电特性．锰含量＞１．５ｍｏｌ％时,过量的Ｍｎ将在晶界积聚,使压电活性降低．少量Ｆｅ的存在,可使Ｍｎ离子的溶解度降低,并起到抑制Ｍｎ^２＋和 Ｍｎ^３＋氧化的作用.     

Modeling of elastic nonlinearities in ferroelectric materials including nonlinear losses: application to nonlinear resonance mode of relaxors single crystals

(1-x)Pb(Mg1/3Nb2/3)O3-xPbTiO3 (PMN-PT) and (1-x)Pb(Zn1/3Nb2/3)O3-xPbTiO3 (PZN-PT) single crystals are considered to behave like soft Pb(Zr,Ti)O3 (PZT) ceramics because of their small mechanical quality factor Qm and poor stability under external disturbances (Qm > 500-1000 for hard PZT ceramic, and Qm < 100 for soft PZT and PMN-PT and PZN-PT single crystals). At weak signal excitation of the first resonance mode, the displacement at the end of a lateral bar is proportional to the Q31d31 figure of merit that is very close to that found for hard PZT. Indeed the very large piezoelectric coefficient compensates the low Qm. But increasing alternating current (AC) field results in the appearance of strong non-linearities through a shift of the resonance frequency and jumps phenomenon observed on increasing and decreasing frequency sweep. It is shown in this paper that these nonlinearities are due to the nonlinear elastic compliance that can be modeled by a third order development of the constitutive piezoelectric equations. Experiments on PMN-PT and PZN-PT single crystals are used for comparison with the model to show the viability of the approach. Both the frequency shift and jumps phenomenon are simulated with a very good agreement with experimental results. The importance is also shown of losses associated with the third order term responsible for the large decrease of the mechanical quality factor for high strain levels. Thus, the nonlinear losses are related to the hysteresis of domain wall motion when subjected to large displacements.     

Sm掺杂增强PZT基弛豫型铁电陶瓷压电性能研究

锆钛酸铅(PZT)基压电陶瓷是一类应用非常广泛的功能材料,可应用于水声换能器、压电马达、医疗超声换能器以及声表面波滤波器等。通过改性提高PZT基压电陶瓷的压电性能一直是该领域的研究热点。本工作采用传统固相反应法制备了准同型相界(Morphotropic Phase Boundary, MPB)组分的Sm-0.25PMN-0.75PZT压电陶瓷,并对其微观结构以及宏观性能进行了系统研究。研究结果表明:引入Sm³⁺可以增强压电陶瓷的局域结构异质性,提升介电响应从而提高压电性能。当Sm³⁺引入过多时,铁电极化的长程连续性被大面积打断,压电性能下降。本实验中得到的最优组分压电陶瓷性能为:高压电系数d₃₃～824 pC/N,高压电电压常数g₃₃～27.1×10^–3m²/C和相对较高居里温度T_C～178℃,电致应变在室温至150℃范围内低于5%,有较好的温度稳定性,是极具应用前景的高性能压电材料。     

0-3 PZT/PVDF 压电复合材料的制备及其性能

采用溶液混合法制备PZT/PVDF压电复合材料。首先用水热法制备出适合溶液混合的PZT陶瓷粉末,并根据陶瓷粉末对PVDF的吸收量,选择乙醇作为PVDF的溶剂进行混合,然后烘干制备PZT/PVDF复合粉末,再成型极化。实验结果表明,这种复合方法提高了PZT陶瓷颗粒在PVDF有机基体中的分散度,使材料内部均匀,结构致密,从而提高了PZT/PVDF压电复合材料的压电和介电性能。      

Factors affecting the performance of piezoelectric bending actuators for advanced applications: an overview

The behaviors of piezoelectric bending actuators both in static and dynamic conditions driven by a high electric field were investigated and are summarized in this paper. In the static condition, the polarization and the displacement were measured and analyzed. It was found that the displacement hysteresis loop is the superposition of displacement loop induced by each layer of the actuator. The shape variation of the hysteresis loop is affected by the actuator configuration, i.e., the arrangement of electric field and poling direction. When the poling direction is parallel to an even electric field, such as parallel bimorph, the domain turns to switch at the exact coercive field of the piezoelectric material. However, when the poling direction is antiparallel to the electric field, such as series bimorph, the effect of electric field redistribution will take place during the domain reorientation, which reduces the actual electric field in the electric field–poling direction antiparallel layer, therefore prohibiting further domain reorientation. As a result, the series bimorph is noted to be more resistant to domain reorientation than the parallel bimorph. In the dynamic condition, the functions and relations of vibration velocity, heat generation, stress, and frequency were examined both theoretically and experimentally. It was found that the stress effect dominates at low frequency. At low frequency the failure mode of the actuator is often the physical fracture of the material. However, at high frequency, the failure modes mainly resulted from heat generation, unstable operation, depoling, and domain reorientation of the actuators. The vibration velocity will also decrease accordingly at the high frequency range due to more losses and heat generation.     

Theoretical study on the static performance of piezoelectric ceramic-polymer composites with 2-2 connectivity

The static equilibrium conditions have been derived for piezoelectric-ceramic-polymer composite structures. Rigorous solutions are obtained for a 2-2 composite of lamellar configuration. Under a uniaxial stress or an electric field the strain profile becomes inhomogeneous due to different elastic stiffness of the two components (hard piezoelectric ceramics and soft polymer). The stress transfer between the two components is identified as due to an additional shear stress produced at the ceramic-polymer interface, and the amplification factor is defined for the enhancement of the response of the active piezoelectric ceramic resulting from this stress transfer. It is shown that this enhancement effect not only depends on the volume percentage of the active component but also on the aspect ratio of the two components.     

Effect of electrical conductivity on poling and the dielectric, pyroelectric and piezoelectric properties of ferroelectric 0-3 composites

We have investigated the effects of electrical conductivity of the constituents on the poling behavior, dielectric, pyroelectric and piezoelectric properties of ferroelectric 0-3 composites. Modeling of polarization behavior is explored for both dc and ac poling procedures. Simulated results show that, in addition to the poling schedule, conductivity plays an important role in the poling process. Calculations are carried out for the time dependent internal electric fields induced by an ac field in dielectric measurements, by modulated temperature in pyroelectric measurement or by stress in piezoelectric measurement. Our previously developed models for dielectricity, pyroelectricity and piezoelectricity have been extended to include the additional contribution from the electrical conductivities. These can be significant for ceramic/polymer composites possessing high conductivity in the matrix phase. Calculated values based on the new model are discussed and compared with the previous models, and in particular the pyroelectric activities reported in the literature for a graphite doped lead zirconate titanate/polyurethane composite. Explicit expressions for the transient and steady state responses are given and the effective permittivity, pyroelectric and piezoelectric coefficients are derived in this paper. Remarkable enhancement in these coefficients is obtained when higher conductivity is introduced in the matrix phase.     

MSP试验法评价PZT陶瓷的循环疲劳寿命

采用小样品力学性能试验方法(Modified Small Punch Tests,简称MSP)对Pb(Zr,Ti)O3陶瓷(PZT)实施了不同大小应力下的循环疲劳实验,循环应力越大,样品的残余强度和压电常数衰减越快,这是由应力循环过程中大量微裂纹的产生和扩展所致.通过最大强度值与疲劳寿命的对应关系求得100 Hz循环疲劳下该样品的裂纹扩展指数n为395,由此推测了PZT陶瓷样品的使用寿命,在循环应力的最大值不超过79.1 MPa的条件下,该样品的连续使用寿命可达5年以上.     

Effect of electrical and mechanical poling history on domain orientation and piezoelectric properties of soft and hard PZT ceramics

Abstract

The superior piezoelectric properties of all polycrystalline ferroelectrics are based on the extent of non-180° domain wall motion under electrical and mechanical poling loads. To distinguish between 180° and non-180° domain wall motion in a soft-doped and a hard-doped lead zirconate titanate (PZT) ceramic, domain texture measurements were performed using x-ray and neutron diffraction after different loading procedures. Comparing the results to measurements of the remanent strain and piezoelectric coefficient allowed the differentiation between different microstructural contributions to the macroscopic parameters. Both types of ceramic showed similar behavior under electric field, but the hard-doped material was more susceptible to mechanical load. A considerable fraction of the piezoelectric coefficient originated from poling by the preferred orientation of 180° domains.     

0．98Na0．5Bi0．5TiO3—0．02NaNbO3无铅压电陶瓷的极化研究

极化显著影响压电陶瓷的应变量和电畴转向率，从而影响其压电性能。本文研究了0．98Na0．5Bi0．5TiO3-0．02NaNbO3压电陶瓷的极化条件。研究表明极化电场为4kV／mm、极化温度为120℃、极化时间为20min时，其压电常数d33最大值为96pe·N^-1。     

陶瓷骨架对3-3型复合材料压电性能的影响

本工作研究了压电陶瓷的化学组成对3-3型复合材料介电、压电性能的影响。选用了三种类型的压电陶瓷:“硬性”压电陶瓷(PZT-F)、“软性”压电陶瓷(PZT-N)和“稳定型”压电陶瓷(PZT-C)。实验结果指出:以PZT-F 和 PZT-C 为骨架制成的复合材料仍然具有较低的体积密度、较高的静水压灵敏度、小的机械品质因数和较小的介质损耗,同时其耐静水压稳定性也有所改善。这种复合材科已装配成发射型换能器,成功地用于地震模拟试验。这类材料的问世将有助于宽带换能器的发展。     

PZT陶瓷/橡胶复合材料的压电性能

用PZT压电陶瓷粉末分散在无压电性的橡胶基体中制成压电复合材料。通过压电常数和介电常数测定、扫描电镜、介电谱等手段研究了有关因素对复合材料压电性能的影响。结果表明,复合材料的压电常数d₃₃随PZT体积含量φ和橡胶介电常数ε₁的增加而增大,随PZT介电常数ε₂的增加而减小,符合理论式 d₃₃=15φε₁d₃₃/(1-φ)(2+3φ)ε₂ 橡胶基体的极性基团、极性链节和交联健偶极的转向极化及分子链的柔性对复合材料的极化和压电常数有重要影响。橡胶的极性越大及分子链的柔性越高,则复合材料的压电常数d₃₃越高。      

0-3型压电陶瓷-硫铝酸盐水泥复合材料的压电性能

采用压制成型法,以快硬硫铝酸盐水泥为基体制备了水泥基压电复合材料。分析讨论了极化工艺条件和PZT含量对水泥基压电复合材料压电性的影响。结果表明,较高的极化电场强度和较长的极化时间均有利于压电性能的提高,但当极化电场强度和极化时间达到4.0 kV/mm和45 min后,压电应变常数d₃₃趋于稳定; 随着PZT含量的增加,硫铝酸盐水泥基压电复合材料的压电应变常数d₃₃、压电电压常数g₃₃和机电耦合系数K_P、K_t均显著增大。当PZT质量分数达到85%时,K_P和K_t可达28.54%和28.19%。      

Fabrication of PZT-polymer composite materials having 3-3 connectivity for hydrophone applications

Lanthanum-modified lead zirconate titanate (PZT) powder and volatilisable polymethylmethacrylate (PMM) polymer particles have been used for fabrication of porous sintered ceramics of interconnected porosity varying from 25% to 59%. Sintered ceramics are converted into piezoelectric PZT-polymer composites by incorporating silicone rubber elastomer followed by electroding and poling. Influence of the variation of PZT-PMM ratio and sintering temperatures on the open and closed porosity of the sintered ceramics as well as volume fraction PZT in the composites has been studied and correlated for the optimization of piezoelectric properties. The PZT-polymer composites possess low density, considerably high piezoelectric voltage coefficient and considerably lower ageing characteristics and are therefore considered suitable for designing highly sensitive hydrophone systems.