scispace - formally typeset
Search or ask a question

Showing papers on "Piezoelectricity published in 2005"


Journal ArticleDOI
TL;DR: In this paper, a cantilever device is designed to have a flat structure with a proof mass added to the end to create electrical energy via the piezoelectric effect.
Abstract: A thin film lead zirconate titanate, Pb(Zr,Ti)O 3 (PZT), MEMS power generating device is developed. It is designed to resonate at specific frequencies from an external vibrational energy source, thereby creating electrical energy via the piezoelectric effect. Our cantilever device is designed to have a flat structure with a proof mass added to the end. The Pt/Ti top electrode is patterned into an interdigitated shape on top of the sol–gel-spin coated PZT thin film in order to employ the d33 mode of the piezoelectric transducer. This d33 mode design generates 20 times higher voltage than that of the d31 mode design of the same beam dimension. The base-shaking experiments at the first resonant frequency (13.9 kHz) generate charge proportional to the tip displacement of the cantilever with a linearity coefficient of 4.14 pC/ m. A

825 citations


Journal ArticleDOI
TL;DR: In this article, the effect of cationic substitution of lithium for sodium and potassium in the A sites and tantalum for niobite in the B sites in (1−x)NbO3 (NKN) perovskite lattice on symmetry and physical properties were investigated.

576 citations


Journal ArticleDOI
TL;DR: In this article, a nonlinear approach to optimize the power flow of vibration-based piezoelectric energy-harvesting devices is presented, which maximizes the mechanical to electrical energy conversion.
Abstract: This article presents a nonlinear approach to optimize the power flow of vibration-based piezoelectric energy-harvesting devices. This self-adaptive principle is based on a particular synchronization between extraction of the electric charge produced by the piezoelectric element and the system vibrations, which maximizes the mechanical to electrical energy conversion. An analytical expression of the optimal power flow is derived from a simple electromechanical model. An electronic circuit designed to perform the synchronous charge extraction is proposed. Theoretical predictions confirmed by experimental results show that the new principle increases the harvested power by 400% as compared with a quasilinear impedance adaptation optimization method.

562 citations


Journal ArticleDOI
TL;DR: In this article, it was shown that the enhanced piezoelectric response along nonpolar directions, observed in many perovskite systems, is a consequence of the flattening of the Gibbs free energy profile.
Abstract: The piezoelectric effect in ferroelectric single crystals and ceramics is investigated considering intrinsic (lattice), and extrinsic (originating mainly from displacement of domain walls) contributions. The focus of the study of intrinsic properties is on piezoelectric anisotropy, which was examined using the Landau-Ginsburg-Devonshire phenomenological theory. It is shown that the enhanced piezoelectric response along nonpolar directions, observed in many perovskite systems, is a consequence of the flattening of the Gibbs free energy profile. This flattening is common for temperature-, composition-, and external field-induced enhancement of the piezoelectric properties along nonpolar axes. A brief review of recent advances in understanding the origins of the piezoelectric nonlinearity, hysteresis, and frequency dispersion is also given.

527 citations


Journal ArticleDOI
TL;DR: In this article, an isothermal energy balance is formulated for a system consisting of deformable dielectric bodies, electrodes, and the surrounding space, which is obtained in the electrostatic limit but with the possibility of arbitrarily large deformations of polarizable material.
Abstract: An isothermal energy balance is formulated for a system consisting of deformable dielectric bodies, electrodes, and the surrounding space. The formulation in this paper is obtained in the electrostatic limit but with the possibility of arbitrarily large deformations of polarizable material. The energy balance recognizes that charges may be driven onto or off of the electrodes, a process accompanied by external electrical work; mechanical loads may be applied to the bodies, thereby doing work through displacements; energy is stored in the material by such features as elasticity of the lattice, piezoelectricity, and dielectric and electrostatic interactions; and nonlinear reversible material behavior such as electrostriction may occur. Thus the external work is balanced by (I) internal energy consisting of stress doing work on strain increments, (2) the energy associated with permeating free space with an electric field, and (3) by the electric field doing work on increments of electric displacement or, equivalently, polarization. For a conservative system, the internal work is stored reversibly in the body and in the underlying and surrounding space. The resulting work statement for a conservative system is considered in the special cases of isotropic deformable dielectrics and piezoelectric materials. We identify the electrostatic stress, which provides measurable information quantifying the electrostatic effects within the system, and find that it is intimately tied to the constitutive formulation for the material and the associated stored energy and cannot be independent of them. The Maxwell stress, which is related to the force exerted by the electric field on charges in the system, cannot be automatically identified with the electrostatic stress and is difficult to measure. Two well-known and one novel formula for the electrostatic stress are identified and related to specific but differing constitutive assumptions for isotropic materials. The electrostatic stress is then obtained for a specific set of assumptions in regard to a piezoelectric material. An exploration of the behavior of an actuator composed of a deformable, electroactive polymer is presented based on the formulation of the paper.

388 citations


Journal ArticleDOI
TL;DR: In this paper, a theoretical model for determination of generated electric power from piezoelectric bimorph transducers in low frequency range far from the picolectric resonance is presented.
Abstract: This letter reports a theoretical model for determination of generated electric power from piezoelectric bimorph transducers in low frequency range far from the piezoelectric resonance. The model is divided into two parts. In the first part the open circuit voltage response of the transducer under the ac stress is computed based on the bending beam theory for bimorph. In the second part, this open circuit voltage acts as the input to the equivalent circuit of the capacitor connected across a pure resistive load. The results of the theoretical model were verified by comparing it with the measured response of a prototype windmill. The prototype piezoelectric windmill consisting of ten piezoelectric bimorph transducers was operated in the wind speed of 1–12 mph. A power of 7.5 mW at the wind speed of 10 mph was measured across a matching load of 6.7kΩ. The theoretical model was found to give very accurate prediction of the generated power and matching load and an excellent matching was found with the experim...

336 citations


Journal ArticleDOI
TL;DR: In this paper, a bending bar made from a single piece of material is introduced, and the application of a voltage then causes the bar to bend due to the differential stresses that are induced.
Abstract: Internal strain amplification can be utilized in piezoelectric ceramics to obtain relatively large displacements. The monomorph described in the present work is a bending bar made from a single piece of material into which a smooth gradient of piezoelectric activity is introduced. The application of a voltage then causes the bar to bend due to the differential stresses that are induced. These are relatively uniformly distributed and do not peak in the center as in a conventional bimorph. Significantly increased life and reliability can then be achieved.

307 citations


Journal ArticleDOI
TL;DR: For tetragonal barium titanate (BaTiO3) single crystals, an electric field (E-field) applied along the [111]c direction can induce an engineered-domain configuration in these crystals as mentioned in this paper.
Abstract: For tetragonal barium titanate (BaTiO3) single crystals, an electric field (E-field) applied along the [111]c direction can induce an engineered-domain configuration in these crystals. In this study, such engineered-domain configurations of different domain sizes were induced in BaTiO3 single crystals, and their piezoelectric properties were investigated as a function of domain size. Prior to this study, the dependences of the domain configuration on the temperature and E-field were investigated using a polarizing microscope in order to understand the optimum poling condition for fine- and coarse-domain configurations. We found that above the Curie temperature (TC) of 132.2 °C, when an E-field above 6.0kV∕cm was applied along the [111]c direction, an engineered domain with a fine-domain configuration appeared. Moreover, it was also found that this fine-domain configuration remained stable at room temperature without the E-field. On the other hand, the coarse-domain configuration was obtained upon poling a...

305 citations


Journal ArticleDOI
TL;DR: The results show that morphotropic phase boundaries and giant piezoelectric effects do not require intrinsic disorder, and open the possibility of studying this effect in simple systems.
Abstract: We find an unexpected tetragonal-to-monoclinic-to-rhombohedral-to-cubic phase transition sequence induced by pressure, and a morphotropic phase boundary in a pure compound using first-principles calculations. Huge dielectric and piezoelectric coupling constants occur in the transition regions, comparable to those observed in the new complex single-crystal solid-solution piezoelectrics such as Pb(Mg(1/3)Nb(2/3))O3-PbTiO3, which are expected to revolutionize electromechanical applications. Our results show that morphotropic phase boundaries and giant piezoelectric effects do not require intrinsic disorder, and open the possibility of studying this effect in simple systems.

285 citations


Journal ArticleDOI
TL;DR: In this paper, it is shown that it is possible to process lead zirconate (Pb(Zr0.52Ti0.48)O3) thin films directly on base metal copper foils.
Abstract: Replacement of noble metal electrodes by base metals significantly lowers the cost of ferroelectric, piezoelectric and dielectric devices. Here, we demonstrate that it is possible to process lead zirconate (Pb(Zr0.52Ti0.48)O3, or PZT) thin films directly on base metal copper foils. We explore the impact of the oxygen partial pressure during processing, and demonstrate that high-quality films and interfaces can be achieved through control of the oxygen partial pressure within a narrow window predicted by thermodynamic stability considerations. This demonstration has broad implications, opening up the possibility of the use of low-cost, high-conductivity copper electrodes for a range of Pb-based perovskite materials, including PZT films in embedded printed circuit board applications for capacitors, varactors and sensors; multilayer PZT piezoelectric stacks; and multilayer dielectric and electrostrictive devices based on lead magnesium niobate–lead titanate. We also point out that the capacitors do not fatigue on repeated switching, unlike those with Pt noble metal electrodes. Instead, they appear to be fatigue-resistant, like capacitors with oxide electrodes. This may have implications for ferroelectric non-volatile memories.

268 citations


Journal ArticleDOI
TL;DR: In this paper, a laminate plate theory model for a stacked multimorph cantilever actuator, encompassing all possible layups, layer anisotropies, internal and external excitations, and intrinsic and extrinsic geometries, is presented.
Abstract: The design and analysis of piezoelectric actuators is rarely optimized for low mass applications. However, emerging technologies such as micro air vehicles, and microrobotics in general, demand high force, high displacement, low mass actuators. Utilization of generic piezoceramics and high performance composite materials coupled with intelligent use of geometry and novel driving techniques yields low cost, rapidly prototyped, ultra-high energy density bending actuators for use in such applications. The design is based upon a laminate plate theory model for a stacked multimorph cantilever actuator, encompassing all possible layups, layer anisotropies, internal and external excitations, and intrinsic and extrinsic geometries. Using these principles, we have fabricated 12 mg PZT bimorph actuators with greater than 2 J kg −1 energy density. This gives a performance increase of an order of magnitude or greater compared to existing commercially available piezoelectric bending actuators.

Journal ArticleDOI
TL;DR: In this paper, a piezoelectric windmill with 12 bimorph actuators was demonstrated for the remote powering of sensors and communication devices, achieving a power of 10.2 mW across a load of 4.6 kΩ after rectification.
Abstract: This study demonstrates a technology, "Piezoelectric Windmill", for generating the electrical power from wind energy. The electric power-generation from wind energy is based on piezoelectric effect and utilizes the bimorph actuators. Piezoelectric Windmill consists of piezoelectric actuators arranged along the circumference of the mill in the cantilever form. Using the camshaft gear mechanism an oscillating torque is generated through the flowing wind and applied on the actuators. A working prototype was fabricated utilizing 12 bimorphs (60 ×20 ×0.5 mm3) having a preload of 23.5 gm. Under a nominal torque level corresponding to normal wind flow and oscillating frequency of 6 Hz, a power of 10.2 mW was successfully measured across a load of 4.6 kΩ after rectification. Combined with the wireless transmission, this technology provides a practical solution to the remote powering of sensors and communication devices.

Journal ArticleDOI
TL;DR: In this paper, modified piezoelectric materials (including polycrystalline and single crystals) were reviewed as a function of Curie temperature, and the effect of manganese additions on Q, coupling k 33 and K T, respectively, was exemplified with Pb(Sc 1/2 Nb 1/1/2 )O 3 -PbTiO 3 (PSNT) compositions close to the morphotropic phase boundary (MPB).

Journal ArticleDOI
TL;DR: In this article, a magnetoelectric laminate composite consisting of a symmetric longitudinally poled Pb(Mg1∕3Nb2√3)O3-PbTiO3 crystal and two magnetostrictive Tb1−xDyxFe2 layers has been developed that has a notably superior ME voltage coefficient relative to previous laminate configurations.
Abstract: A magnetoelectric (ME) laminate composite consisting of a symmetric longitudinally poled piezoelectric Pb(Mg1∕3Nb2∕3)O3–PbTiO3 crystal and two longitudinally magnetized magnetostrictive Tb1−xDyxFe2 layers has been developed that has a notably superior ME voltage coefficient, relative to previous laminate configurations. The symmetric nature of the longitudinally poled piezoelectric layer allows for operation in a push-pull mode that optimizes elastic coupling between layers. Our small laminate has a giant ME voltage coefficient of ∼1.6V∕Oe at low frequencies, a significant enhancement of this coefficient to ∼20V∕Oe under resonance drive, and an exceptional low-level magnetic field sensitivity of ∼10−12T at f=f0.

Journal ArticleDOI
TL;DR: The nanomechanical Pb(Zr0.52Ti0.48)O3 (PZT) cantilever is designed and fabricated; a novel electrical measurement is demonstrated, under a controlled ambient temperature and humidity, for label-free detection of a prostate-specific antigen (PSA).

Journal ArticleDOI
TL;DR: In this paper, the magnitude of the longitudinal electric field induced by both spontaneous and piezoelectric polarizations was determined by comparing experimental results with a variational calculation of excitonic energies and oscillator strengths.
Abstract: Continuous-wave, time-integrated, and time-resolved photoluminescence experiments are used to study the excitonic optical recombinations in wurtzite ZnO/Zn078Mg022O quantum wells of varying widths By comparing experimental results with a variational calculation of excitonic energies and oscillator strengths, we determine the magnitude (09MV∕cm) of the longitudinal electric field that is induced by both spontaneous and piezoelectric polarizations The quantum-confined Stark effect counteracts quantum confinement effects for well widths larger than 3nm, leading to emission energies that can lie 05eV below the ZnO excitonic gap and to radiative lifetimes that can be larger than milliseconds

Journal ArticleDOI
TL;DR: In this paper, the dielectric, ferroelectric and piezoelectric properties of bismuth potassium titanate (BKT) ceramics were studied by hot pressing.
Abstract: The dielectric, ferroelectric and piezoelectric properties of bismuth potassium titanate, (Bi1/2K1/2)TiO3 (BKT), ceramics were studied. Single-phase BKT ceramics with a high relative density of 97% were obtained by the hot pressing (HP) method. The resistivities of BKT ceramics hot-pressed at 1060 and 1080°C (hereafter abbreviated as BKT-HP1060°C and BKT-HP1080°C) were fairly high being of the order of 1013 Ωcm at room temperature (RT). The Curie temperature Tc of BKT-HP1060°C was 437°C, which is relatively higher than those of other lead-free piezoelectric materials. In this study, the ferroelectric properties of BKT ceramics were successfully obtained with fully saturated hysteresis loops. The remanent polarization Pr and coercive field Ec of BKT-HP1080°C were 22.2 µC/cm2 and 52.5 kV/cm, respectively. D–E hysteresis loops for these ceramics were observed even at 260°C. The electromechanical coupling factor k33 and piezoelectric constant d33 of BKT-HP1080°C were 0.28 and 69.8 pC/N, respectively. The second-phase transition temperature T2 of 340°C was determined from the temperature dependence of piezoelectric and dielectric measurements.

Journal ArticleDOI
TL;DR: This paper investigates the feasibility of fabricating a five-ring, focused annular array transducer operating at 40 MHz using a 9-/spl mu/m thick polyvinylidene fluoride film.
Abstract: This paper investigates the feasibility of fabricating a five-ring, focused annular array transducer operating at 40 MHz. The active piezoelectric material of the transducer was a 9-/spl mu/m thick polyvinylidene fluoride (PVDF) film. One side of the PVDF was metallized with gold and forms the ground plane of the transducer. The array pattern of the transducer and electrical traces to each annulus were formed on a copper-clad polyimide film. The PVDF and polyimide were bonded with a thin layer of epoxy, pressed into a spherically curved shape, then back filled with epoxy. A five-ring transducer with equal area elements and 100 /spl mu/m kerfs between annuli was fabricated and tested. The transducer had a total aperture of 6 mm and a geometric focus of 12 mm. The pulse/echo response from a quartz plate located at the geometric focus, two-way insertion loss (IL), complex impedance, electrical crosstalk, and lateral beamwidth all were measured for each annulus. The complex impedance data from each element were used to perform electrical matching, and the measurements were repeated. After impedance matching, f/sub c/ /spl sim/ 36 MHz and -6-dB bandwidths ranged from 31 to 39%. The ILs for the matched annuli ranged from -28 to -38 dB.

Journal ArticleDOI
TL;DR: In this paper, the influence of preload stress on the ferroelectric hysteretic behavior of piezoelectric ceramics was investigated for soft lead zirconate titanate (PZT) material under various uniaxial compressive stress preloads.
Abstract: This paper deals with the influence of preload stress on the ferroelectric hysteretic behavior of piezoelectric ceramics. The polarization and strain versus electric field hysteresis loops were measured for soft lead zirconate titanate (PZT) piezoceramic material under various uniaxial compressive stress preloads of up to −400 MPa. The investigation revealed that the superimposed compression load reduced the remnant polarization, decreased the coercive field, and also had a significant impact on the dielectric and piezoelectric properties. With increasing mechanical load, dielectric hysteresis and butterfly hysteresis became less and less pronounced, as the compressive stress prevented full alignment of the domains and induced mechanical depolarization. The slopes of the polarization and strain curves at zero electric field were measured to evaluate the dependence of permittivity and piezoelectric coefficients on the prestress. The experimental results were interpreted in terms of the non-180° domain switching process under combined electromechanical loading.

Journal ArticleDOI
TL;DR: In this paper, the authors presented a new application of the synchronized switch harvesting on inductors (SSHI) which results in a significant increase of the electromechanical conversion capability of piezoelectric materials.
Abstract: This paper presents a new application of the ‘Synchronized Switch Harvesting on Inductor’ (SSHI). This nonlinear technique results in a significant increase of the electromechanical conversion capability of piezoelectric materials. Previous studies have shown the interest of this technique on steady state excited structures equipped with piezoelectric elements where the harvested power may be increased nearly tenfold compared to the standard technique. It is herein demonstrated that this technique is also very effective for pulsed excitation. It is shown that the SSHI technique increases the harvesting process efficiency between 250 and 450%, depending on the electromechanical coupling coefficient of the structure.

Journal ArticleDOI
TL;DR: In this article, a finite element analysis and micromechanics based averaging of a representative volume element (RVE) is performed to determine the effective dielectric, magnetic, mechanical, and coupled-field properties of an elastic matrix reinforced with piezoelectric and piezomagnetic fibers as functions of the phase volume fractions, the fiber arrangements in the RVE, and the fiber material properties with special emphasis on the poling directions of the pieziolectric or piezusmagnetic fibers.

Journal ArticleDOI
TL;DR: In this paper, two internal connectivity patterns relating to the functional ceramic phase, 0-3 and 2-2 types, were adopted in the development, and the results show that it can be used as self-sensing actuator in civil engineering.

Journal ArticleDOI
TL;DR: In this article, the performance of the PZT ceramic of 1 mm thickness provided the highest power output with 0.4 mm endcap with a pre-stress load of 67 N at 100 Hz frequency.
Abstract: Cymbal transducers have been found as a promising structure for piezoelectric energy harvesting under high force (∼ 100 N) at cyclic conditions (∼ 100–200 Hz). The thicker steel cap enhances the endurance of the ceramic to sustain higher ac loads along with stress amplification. This study reports the performance of the cymbal transducer under ac force of 70 N with a pre-stress load of 67 N at 100 Hz frequency. At this frequency and force level, 52 mW power was generated from a cymbal measured across a 400 kΩ resistor. The ceramic diameter was fixed at 29 mm and various thicknesses were experimented to optimize the performance. The results showed that the PZT ceramic of 1 mm thickness provided the highest power output with 0.4 mm endcap. In order to accommodate such high dynamic pressure the transducer and cap materials were modified and it was found that the higher piezoelectric voltage constant ceramic provided the higher output power. Electrical output power as a function of applied ac stress magnitude was also computed using FEM analysis and the results were found to be functionally coherent with experiment. This study clearly demonstrated the feasibility of using piezoelectric transducers for harvesting energy from high magnitude vibration sources such as automobile.

Journal ArticleDOI
TL;DR: In this paper, the bismuth-based perovskite solid solution (100−x)BiScO3−xPbTiO3 (BSPT) was investigated for use at temperatures up to 400°C and above.
Abstract: The bismuth-based perovskite solid solution (100−x)BiScO3−xPbTiO3 (BSPT) was investigated for use at temperatures up to 400°C and above. The high-temperature resistivity, together with dielectric and piezoelectric behaviors of the shear mode for manganese-modified BSPT ceramics near the morphotropic phase boundary composition were studied. The resistivity and time constant were found to be 3×107Ωcm and 0.08s, respectively, at 450°C for modified BSPT66. The dielectric constant Κ11T and dielectric loss were found to be 1112 and 1%, respectively, at room temperature, showing a Curie temperature at 468°C. The electromechanical coupling factor k15 was calculated to be 61%, staying nearly constant up to 440°C, expanding the temperature usage range significantly. The properties indicate that the modified BSPT66 material is a promising candidate for high-temperature shear sensor applications.

Journal ArticleDOI
TL;DR: In this article, as-grown nanoarchitectures naturally created by combining some of the fundamental structure configurations of ZnO were presented, which could be unique for many applications in nanotechnology.
Abstract: Semiconducting and piezoelectric zinc oxide has two important structure characteristics: the multiple and switchable growth directions: ⟨011¯0⟩, ⟨21¯1¯0⟩, and ⟨0001⟩; and the {0001} polar surfaces. The fast growth directions create nanobelts of different crystallographic facets, and the polar surfaces result in bending of the nanobelt for minimizing the spontaneous polarization energy. A combination of these distinct growth characteristics results in a group of unique nanostructures, including several types of nanorings, nanobows, platelet circular structures, Y-shape split ribbons, and crossed ribbons. We present here the as-grown nanoarchitectures naturally created by combining some of the fundamental structure configurations of ZnO, which could be unique for many applications in nanotechnology.

Journal ArticleDOI
TL;DR: It is concluded that both the harvesting methods are not different from each other concerning their detrimental effect on viability and differentiation of cells growing out of autogenous bone chips derived from intra-oral cortical sites.
Abstract: Aim The aim of the present study was to investigate the influence of a new piezoelectric device, designed for harvesting autogenous bone chips from intra-oral sites, on chip morphology, cell viability and differentiation. Methods A total of 69 samples of cortical bone chips were randomly gained by either (1) a piezoelectric device (PS), or (2) conventional rotating drills (RD). Shape and size of the bone chips were compared by means of morphometrical analysis. Outgrowing osteoblasts were identified by means of alkaline phosphatase activity (AP), immunhistochemical staining for osteocalcin (OC) synthesis and reverse transcriptase-polymerase chain reaction phenotyping. Results In 88.9% of the RD and 87.9% of the PS specimens, an outgrowth of adherent cells nearby the bone chips was observed after 6-19 days. Confluence of cells was reached after 4 weeks. Positive staining for AP and OC identified the cells as osteoblasts. The morphometrical analysis revealed a statistically significant more voluminous size of the particles collected with PS than RD. Conclusion Within the limits of the present study, it may be concluded that both the harvesting methods are not different from each other concerning their detrimental effect on viability and differentiation of cells growing out of autogenous bone chips derived from intra-oral cortical sites.

Journal ArticleDOI
TL;DR: In this paper, a topology optimization approach for the design of piezoelectric actuators using topology optimisation is proposed to achieve maximum output displacement in a given direction at a given point of the structure, while simultaneously minimizing the structural compliance.
Abstract: In this paper, a novel approach to the design of piezoelectric plate and shell actuators using topology optimization is described A new piezoelectric material model PEMAP-P (piezoelectric material with penalization and polarization) is proposed, which is an extension of the SIMP (solid isotropic material with penalization) model used for elastic materials In addition to the pseudo-density ρ1, which describes the 'amount' of piezoelectric material in each finite element, a new design variable ρ2 is introduced for the polarization of the piezoelectric material The optimization problem consists in distributing the piezoelectric actuators in such a way as to achieve a maximum output displacement in a given direction at a given point of the structure, while simultaneously minimizing the structural compliance Sequential linear programming (SLP) is used to solve the optimization problem Examples are given demonstrating the potential of the proposed approach for the optimal design of piezoelectric actuators for multi-layer plate and shell structures

Journal ArticleDOI
TL;DR: In this paper, the dielectric and the piezoelectric properties of (1 −x)NbO3-SrTiO3 ceramics, densified by the Spark-Plasma-Sintering method, have been studied.
Abstract: The dielectric and the piezoelectric properties of the (1–x)(Na0.5K0.5)NbO3–xSrTiO3 ceramics, densified by the Spark-Plasma-Sintering method, have been studied. A phase diagram was established from the temperature dependence of the dielectric constant. A tetragonal–orthorhombic morpho-tropic phase boundary (MPB) was found at x ∼ 0.05. Around the MPB, piezoelectric properties were greatly improved. The origin for the enhanced piezoelectricity has been proposed. (© 2005 WILEY-VCH Verlag GmbH & Co. KGaA, Weinheim)

Journal ArticleDOI
TL;DR: In this paper, a postbuckling analysis for a simply supported, shear deformable functionally graded plate with piezoelectric actuators subjected to the combined action of mechanical, electrical and thermal loads is presented.

Journal ArticleDOI
TL;DR: In this article, a quantitative study of the thickness dependence of the polarization and piezoelectric properties in epitaxial PbZr0.52Ti0.48O3 films grown on (001) SrRuO3-buffered (1) SrTiO3 substrates is presented.
Abstract: We present a quantitative study of the thickness dependence of the polarization and piezoelectric properties in epitaxial (001) PbZr0.52Ti0.48O3 films grown on (001) SrRuO3-buffered (001) SrTiO3 substrates. High-resolution transmission electron microscopy reveals that even the thinnest films (∼8nm) are fully relaxed with a dislocation density close to 1012cm−2 and a spacing of approximately 12 nm. Quantitative piezoelectric and ferroelectric measurements show a drastic degradation in the out-of-plane piezoelectric constant (d33) and the switched polarization (ΔP) as a function of decreasing thickness. In contrast, lattice-matched ultrathin PbZr0.2Ti0.8O3 films that have a very low dislocation density show superior ferroelectric properties. Supporting theoretical calculations show that the variations in the strain field around the core of the dislocation leads to highly localized polarization gradients and hence strong depolarizing fields, which result in suppression of ferroelectricity in the vicinity of ...