As advanced functional materials,piezoelectric ceramics are widely used in various fields,including the medical,aviation,and military industries.With the advancement of science and technology,the piezoelectric ceramic...As advanced functional materials,piezoelectric ceramics are widely used in various fields,including the medical,aviation,and military industries.With the advancement of science and technology,the piezoelectric ceramics needed in special fields have become more intelligent,diverse and lightweight.The shapes and structures of piezoelectric ceramics are becoming more complex.Traditional piezoelectric ceramic preparation technology has been unable to meet the high-speed and complex production demands of various industries.Considering this situation,3D printing technology has attracted much attention in the field of piezoelectric ceramics.In this paper,the applications of several main 3D printing techniques in the field of piezoelectric ceramics are mainly introduced,and their development statuses,process characteristics and achievements are summarized.The advantages and disadvantages of each printing technique are summarized and compared.The challenges and possible future trends of 3D printing when manufacturing piezoelectric ceramics are summarized and proposed.展开更多
PSN-PZN-PZT + x wt. %Cr2O3, X = 0.0-0-9, were prepared by conventional mixed oxide techniques at sintering temperatures of 1220 degrees C-1300 degrees C for 2 h. The effect of sintering temperature on the microstructu...PSN-PZN-PZT + x wt. %Cr2O3, X = 0.0-0-9, were prepared by conventional mixed oxide techniques at sintering temperatures of 1220 degrees C-1300 degrees C for 2 h. The effect of sintering temperature on the microstructure and the piezoelectric properties was investigated by XRD, SEM, and other conventional measurement. The result indicated that with temperature increasing, the valence of Cr ion from Cr5+ or Cr6+ changes into C3+, and the piezoelectric properties turn hard. With increasing Cr2O3 content, the amount of rhombohedral phases increases and the morphotropic boundary phase is correspondingly shifts to rhombohedral phase. A uniform microstructure and excellent comprehensive properties were obtained at 1240 degrees C as the amount of Cr2O3 is 0.5 wt.%.展开更多
PZT nanocrystalline powder was prepared by a stearic acid gel method. Thecrystallization process from the precursor was monitored by infrared spectroscopy, differentialthermal analysis, and thermogravimetric analysis....PZT nanocrystalline powder was prepared by a stearic acid gel method. Thecrystallization process from the precursor was monitored by infrared spectroscopy, differentialthermal analysis, and thermogravimetric analysis. The nano-sized PZT powder was characterized byX-ray diffraction and transmission electron microscopy. It shows that pure single-phase PZT powdercould be obtained at 450 deg C for 1 h, and the particle size is about 20 nm. With an increase inthe calcination temperature, the PZT crystallite size increased.展开更多
We investigated the effect of the deposition temperature of PZT thin films with thicknesses of around 100 nm on the piezoelectric response using an atomic force microscope (AFM). The preferred orientation of the PZT t...We investigated the effect of the deposition temperature of PZT thin films with thicknesses of around 100 nm on the piezoelectric response using an atomic force microscope (AFM). The preferred orientation of the PZT thin film was changed from (001) to (110) as the deposition temperature increased. The surface roughness of PZT thin films decreased with the increase of deposition temperature. The maximum amplitude of the piezoelectric response of PZT thin films decreased till the deposition temperature increased to 350°C. This tendency seems to be due to the change of the preferred orientation form (001) to (110). At over 450°C, this maximum value decreased due to both the increase of the surface roughness and the degradation of the crystallinity.展开更多
Piezoelectric atomizers exhibit the advantages of structural simplicity,portability,low energy consumption,low production costs,and good atomization.They have been extensively used in various fields,including inhalati...Piezoelectric atomizers exhibit the advantages of structural simplicity,portability,low energy consumption,low production costs,and good atomization.They have been extensively used in various fields,including inhalation therapy,inkjet printing,and spray cooling.Here,the research of piezoelectric atomizers is first summarized from the perspectives of theoretical investigation and applications.Subsequently,the existing investigation and applications on piezoelectric atomizers are classified in terms of their functionalities.The functions of inkjet printing,spray cooling,and inhalation therapy are described in detail.Finally,the future trends in this field are analyzed.It is indicated that the vibrating-mesh atomizer has a promising prospect in the market,signaling strong demand especially in upgaraded consumption and medical scenarios.展开更多
in order to realize the co-firing with Ag/Pd electrodes in multilayer devices, Pb(Zn1/3Nb2/3)(1-x-y) ZrxTiyO3(0.25<x<0.35, 0.25<y<0.35) piezoelectric ceramics thereafter designated PZN-PZT) modified by La2...in order to realize the co-firing with Ag/Pd electrodes in multilayer devices, Pb(Zn1/3Nb2/3)(1-x-y) ZrxTiyO3(0.25<x<0.35, 0.25<y<0.35) piezoelectric ceramics thereafter designated PZN-PZT) modified by La2O3 has been prepared by conventional technique with sintering temperature from 1100 degreesC to 1140 degreesC. X-ray diffraction patterns demonstrated that pure perovskite phase was obtained. Secondary electron image (SEI) showed that crystalline grains in ceramics were well grown. d(33) of manufactured sample was as high as 560 x 10(-12)C/N. k(p) was about 0.61 and tg delta about 30 x 10(-3). The existence of liquid phase examined by electron diffraction in PZN-PZT sample is beneficial to sintering of the ceramic.展开更多
This paper presents the design, fabrication, and preliminary experimental result of an electric field microsensor based on the structure of piezoelectric interdigitated cantilevers with staggered vertical vibration mo...This paper presents the design, fabrication, and preliminary experimental result of an electric field microsensor based on the structure of piezoelectric interdigitated cantilevers with staggered vertical vibration mode. The working principle of this electric field microsensor is demonstrated, and the induced charges and structural parameters of this microsensor are simulated by the finite element method. The electric field microsensor was fabricated by Micro-Electro Mechanical Systems(MEMS) technique. Each cantilever is a multilayer compound structure(Al/Si3N4/ Pt/PZT/Pt/ Ti/SiO 2/Si), and Piezoelectric, PieZ oelectric ceramic Transducer(PZT)(PbZ rxTi(1–x)O3) layer, prepared by sol-gel method, is used as the piezoelectric material to drive the cantilevers vibrating. This electric field microsensor was tested under the DC electric field with the field intensity from 0 to 5×104 V/m. The output voltage signal of the electric field microsensor has a good linear relationship to the intensity of applied electric field. The performance could be improved with the optimized design of structure, and reformative fabrication processes of PZT material.展开更多
Nd3+ doped lead zirconate titanate (Pb1-3x/2NdxZr0.52Ti0.48O3, PNZT) nanopowders were prepared through a modified sol-gel method. The effects of Nd3+ doping on the microstructures and properties of PNZT ceramics have ...Nd3+ doped lead zirconate titanate (Pb1-3x/2NdxZr0.52Ti0.48O3, PNZT) nanopowders were prepared through a modified sol-gel method. The effects of Nd3+ doping on the microstructures and properties of PNZT ceramics have been studies. The grain sizes of the perovskite PNZT nanopowders were about 100nm and the lattice distortion of the PNZT increased with the content of Nd3+ up to 9 mol%. The dopant of Nd3+ resulted in the decrease of crystal lattice parameter a and the obvious increase of c and c/a, which effectively improved the sintered densification and activity of the PNZT ceramics. Due to lead vacancies caused by the doping of Nd3+ in the PZT, the piezoelectric constant, electromechanical coupling coefficient and dielectric constant observed were much higher than the monolithic PZT.展开更多
The epoxy resin (E-51) was used as polymer matrix,conductive carbon black (CB) as conductive filler,and PZT was used to prepare a composite by curing.The effects of PZT and CB content on the properties of PZT/ CB/ EP ...The epoxy resin (E-51) was used as polymer matrix,conductive carbon black (CB) as conductive filler,and PZT was used to prepare a composite by curing.The effects of PZT and CB content on the properties of PZT/ CB/ EP piezoelectric composite were studied.When the PZT content reaches 40 wt%,the optimized vibration attenuation properties of PZT/CB/EP materials could be achieved with a loss factor of 0.9 from room temperature to 60 ℃.With the increase of PZT content,the bending strength of PZT/CB/EP piezoelectric composite vibration reduction material firstly increased from 45 MPa to 65 MPa and then decreased to 38 MPa.At room temperature,the dielectric constant increased from 7 to 50,and the dielectric loss increased from 0.1 to 0.5.展开更多
The explosive demands for facial masks as vital personal protection equipment(PPE)in the wake of Covid-19 have challenged many industries and enterprises in technology and capacity,and the piezoelectric ceramic(PZT)tr...The explosive demands for facial masks as vital personal protection equipment(PPE)in the wake of Covid-19 have challenged many industries and enterprises in technology and capacity,and the piezoelectric ceramic(PZT)transducers for the production of facial masks in the welding process are in heavy demand.In the earlier days of the epidemic,the supply of ceramic transducers cannot meet its increasing demands,and efforts in materials,development,and production are mobilized to provide the transducers to mask producers for quick production.The simplest solution is presented with the employment of Rayleigh-Ritz method for the vibration analysis,then different materials can be selected to achieve the required frequency and energy standards.The fully tailored method and results can be utilized by the engineers for quick development of the PZT transducers to perform precise function in welding.展开更多
Quantitative damage identification of surrounding rock is important to assess the current condition and residual strength of underground tunnels.In this work,an underground tunnel model with marble-like cementitious m...Quantitative damage identification of surrounding rock is important to assess the current condition and residual strength of underground tunnels.In this work,an underground tunnel model with marble-like cementitious materials was first fabricated using the three-dimensional(3D)printing technique and then loaded to simulate its failure mode in the laboratory.Lead zirconate titanate piezoelectric(PZT)transducers were embedded in the surrounding rock around the tunnel in the process of 3D printing.A 3D monitoring network was formed to locate damage areas and evaluate damage extent during loading.Results show that as the load increased,main cracks firstly appeared above the tunnel roof and below the floor,and then they coalesced into the tunnel boundary.Finally,the tunnel model was broken into several parts.The resonant frequency and the peak of the conductance signature firstly shifted rightwards with loading due to the sealing of microcracks,and then shifted backwards after new cracks appeared.An overall increase in the root-mean-square deviation(RMSD)calculated from conductance signatures of all the PZT transducers was observed as the load(damage)increased.Damage-dependent equivalent stiffness parameters(ESPs)were calculated from the real and imaginary signatures of each PZT at different damage states.Satisfactory agreement between equivalent and experimental ESP values was achieved.Also,the relationship between the change of the ESP and the residual strength was obtained.The method paves the way for damage identification and residual strength estimation of other 3D printed structures in civil engineering.展开更多
Piezoelectric(PZ)energy has been paid attention to as conventional renewable energy sources including solar,wind,and geothermal power.To address the dilemma of climatic conditions affecting the energy harvesting using...Piezoelectric(PZ)energy has been paid attention to as conventional renewable energy sources including solar,wind,and geothermal power.To address the dilemma of climatic conditions affecting the energy harvesting using Lead Zirconate Titanate(PZT)in pavement,wafer-boxes were used with embedded PZT sensors,since wafer-boxes have the ability to be embedded in the pavement where sensors are protected from any kind of physical damage.This research project was designed to identify which shaped wafer-box produced the most electric voltage and power.Various forms of wafer-box were developed to identify if there was any potential difference in voltage generation due to the structural shapes of the box.Seven different shapes of prototype wafer-boxes were designed utilizing both a 3D printer and 3D Computer Aided Design(CAD).These wafer-boxes were coupled with embedded PZT sensors which were tested in asphalt pavement analyzer(APA)machine under certain load to produce electric voltage.Collected voltage data from the APA wheel load test(WLT)were analyzed using various statistical methods.The statistical analyses results indicated that out of the seven different shaped wafer-boxes,the right-angled triangular shaped box produced the highest average voltage values where’s square shaped wafer-box produced the lowest amount of voltage.Structural properties of a wafer-box in terms of section modulus,area moment of inertia,extreme points,and radius of gyration were also analyzed,and a regression analysis was conducted to identify the reasons of different amounts of voltage produced.These voltage values could be used to calculate the power using power formulas showing relationship between power and voltage values.The outcome helped to identify which shape is most effective to power generation under certain circumstances.The regression analysis results indicated that out of four properties the section modulus is the most influential structural property affecting voltage production.展开更多
This paper discusses the validity of (adaptive) Lagrange generalized plain finite element method (FEM) and plate element method for accurate analysis of acoustic waves in multi-layered piezoelectric structures with ti...This paper discusses the validity of (adaptive) Lagrange generalized plain finite element method (FEM) and plate element method for accurate analysis of acoustic waves in multi-layered piezoelectric structures with tiny interfaces between metal electrodes and surface mounted piezoelectric substrates. We have come to conclusion that the quantitative relationships between the acoustic and electric fields in a piezoelectric structure can be accurately determined through the proposed finite element methods. The higher-order Lagrange FEM proposed for dynamic piezoelectric computation is proved to be very accurate (prescribed relative error 0.02% - 0.04% ) and a great improvement in convergence accuracy over the higher order Mindlin plate element method for piezoelectric structural analysis due to the assumptions and corrections in the plate theories.The converged lagrange finite element methods are compared with the plate element methods and the computedresults are in good agreement with available exact and experimental data. The adaptive Lagrange finite elementmethods and a new FEA computer program developed for macro- and micro-scale analyses are reviewed, and recently extended with great potential to high-precision nano-scale analysis in this paper and the similarities between piezoelectric and seismic wave propagations in layered structures and plates are stressed.展开更多
基金This work was financially supported by the Scientific Research Fund-ing Project of the Educational Department of Liaoning Province in 2020,grant number LQ2020008.
文摘As advanced functional materials,piezoelectric ceramics are widely used in various fields,including the medical,aviation,and military industries.With the advancement of science and technology,the piezoelectric ceramics needed in special fields have become more intelligent,diverse and lightweight.The shapes and structures of piezoelectric ceramics are becoming more complex.Traditional piezoelectric ceramic preparation technology has been unable to meet the high-speed and complex production demands of various industries.Considering this situation,3D printing technology has attracted much attention in the field of piezoelectric ceramics.In this paper,the applications of several main 3D printing techniques in the field of piezoelectric ceramics are mainly introduced,and their development statuses,process characteristics and achievements are summarized.The advantages and disadvantages of each printing technique are summarized and compared.The challenges and possible future trends of 3D printing when manufacturing piezoelectric ceramics are summarized and proposed.
文摘PSN-PZN-PZT + x wt. %Cr2O3, X = 0.0-0-9, were prepared by conventional mixed oxide techniques at sintering temperatures of 1220 degrees C-1300 degrees C for 2 h. The effect of sintering temperature on the microstructure and the piezoelectric properties was investigated by XRD, SEM, and other conventional measurement. The result indicated that with temperature increasing, the valence of Cr ion from Cr5+ or Cr6+ changes into C3+, and the piezoelectric properties turn hard. With increasing Cr2O3 content, the amount of rhombohedral phases increases and the morphotropic boundary phase is correspondingly shifts to rhombohedral phase. A uniform microstructure and excellent comprehensive properties were obtained at 1240 degrees C as the amount of Cr2O3 is 0.5 wt.%.
基金This work was financially supported by the Ministry of Science and Technology of China through 973-project (No. 2002CB613301).
文摘PZT nanocrystalline powder was prepared by a stearic acid gel method. Thecrystallization process from the precursor was monitored by infrared spectroscopy, differentialthermal analysis, and thermogravimetric analysis. The nano-sized PZT powder was characterized byX-ray diffraction and transmission electron microscopy. It shows that pure single-phase PZT powdercould be obtained at 450 deg C for 1 h, and the particle size is about 20 nm. With an increase inthe calcination temperature, the PZT crystallite size increased.
文摘We investigated the effect of the deposition temperature of PZT thin films with thicknesses of around 100 nm on the piezoelectric response using an atomic force microscope (AFM). The preferred orientation of the PZT thin film was changed from (001) to (110) as the deposition temperature increased. The surface roughness of PZT thin films decreased with the increase of deposition temperature. The maximum amplitude of the piezoelectric response of PZT thin films decreased till the deposition temperature increased to 350°C. This tendency seems to be due to the change of the preferred orientation form (001) to (110). At over 450°C, this maximum value decreased due to both the increase of the surface roughness and the degradation of the crystallinity.
基金This work was supported by the National Natural Science Foundation of China(No.51375227)。
文摘Piezoelectric atomizers exhibit the advantages of structural simplicity,portability,low energy consumption,low production costs,and good atomization.They have been extensively used in various fields,including inhalation therapy,inkjet printing,and spray cooling.Here,the research of piezoelectric atomizers is first summarized from the perspectives of theoretical investigation and applications.Subsequently,the existing investigation and applications on piezoelectric atomizers are classified in terms of their functionalities.The functions of inkjet printing,spray cooling,and inhalation therapy are described in detail.Finally,the future trends in this field are analyzed.It is indicated that the vibrating-mesh atomizer has a promising prospect in the market,signaling strong demand especially in upgaraded consumption and medical scenarios.
文摘in order to realize the co-firing with Ag/Pd electrodes in multilayer devices, Pb(Zn1/3Nb2/3)(1-x-y) ZrxTiyO3(0.25<x<0.35, 0.25<y<0.35) piezoelectric ceramics thereafter designated PZN-PZT) modified by La2O3 has been prepared by conventional technique with sintering temperature from 1100 degreesC to 1140 degreesC. X-ray diffraction patterns demonstrated that pure perovskite phase was obtained. Secondary electron image (SEI) showed that crystalline grains in ceramics were well grown. d(33) of manufactured sample was as high as 560 x 10(-12)C/N. k(p) was about 0.61 and tg delta about 30 x 10(-3). The existence of liquid phase examined by electron diffraction in PZN-PZT sample is beneficial to sintering of the ceramic.
文摘This paper presents the design, fabrication, and preliminary experimental result of an electric field microsensor based on the structure of piezoelectric interdigitated cantilevers with staggered vertical vibration mode. The working principle of this electric field microsensor is demonstrated, and the induced charges and structural parameters of this microsensor are simulated by the finite element method. The electric field microsensor was fabricated by Micro-Electro Mechanical Systems(MEMS) technique. Each cantilever is a multilayer compound structure(Al/Si3N4/ Pt/PZT/Pt/ Ti/SiO 2/Si), and Piezoelectric, PieZ oelectric ceramic Transducer(PZT)(PbZ rxTi(1–x)O3) layer, prepared by sol-gel method, is used as the piezoelectric material to drive the cantilevers vibrating. This electric field microsensor was tested under the DC electric field with the field intensity from 0 to 5×104 V/m. The output voltage signal of the electric field microsensor has a good linear relationship to the intensity of applied electric field. The performance could be improved with the optimized design of structure, and reformative fabrication processes of PZT material.
基金Sponsored by the National Natural Science Foundation of China (Grant No.50742007)the 863 Project (Grant No.2007AA03Z103)+1 种基金the Scientific Projectof Heilongjiang Province (Grant No.E2007-31)the Key Lab of Electronic Engineering College of Heilongjiang Province(Grant No.D4D200618)
文摘Nd3+ doped lead zirconate titanate (Pb1-3x/2NdxZr0.52Ti0.48O3, PNZT) nanopowders were prepared through a modified sol-gel method. The effects of Nd3+ doping on the microstructures and properties of PNZT ceramics have been studies. The grain sizes of the perovskite PNZT nanopowders were about 100nm and the lattice distortion of the PNZT increased with the content of Nd3+ up to 9 mol%. The dopant of Nd3+ resulted in the decrease of crystal lattice parameter a and the obvious increase of c and c/a, which effectively improved the sintered densification and activity of the PNZT ceramics. Due to lead vacancies caused by the doping of Nd3+ in the PZT, the piezoelectric constant, electromechanical coupling coefficient and dielectric constant observed were much higher than the monolithic PZT.
基金Funded by State Key Laboratory of Power Grid Environmental Protection(No.GYW51201801173)。
文摘The epoxy resin (E-51) was used as polymer matrix,conductive carbon black (CB) as conductive filler,and PZT was used to prepare a composite by curing.The effects of PZT and CB content on the properties of PZT/ CB/ EP piezoelectric composite were studied.When the PZT content reaches 40 wt%,the optimized vibration attenuation properties of PZT/CB/EP materials could be achieved with a loss factor of 0.9 from room temperature to 60 ℃.With the increase of PZT content,the bending strength of PZT/CB/EP piezoelectric composite vibration reduction material firstly increased from 45 MPa to 65 MPa and then decreased to 38 MPa.At room temperature,the dielectric constant increased from 7 to 50,and the dielectric loss increased from 0.1 to 0.5.
基金supported in part by the National Natural Science Foundation of China(No.11672142)the Technology Innovation 2025 Program of the Municipality of Ningbo(No.2019B10122)。
文摘The explosive demands for facial masks as vital personal protection equipment(PPE)in the wake of Covid-19 have challenged many industries and enterprises in technology and capacity,and the piezoelectric ceramic(PZT)transducers for the production of facial masks in the welding process are in heavy demand.In the earlier days of the epidemic,the supply of ceramic transducers cannot meet its increasing demands,and efforts in materials,development,and production are mobilized to provide the transducers to mask producers for quick production.The simplest solution is presented with the employment of Rayleigh-Ritz method for the vibration analysis,then different materials can be selected to achieve the required frequency and energy standards.The fully tailored method and results can be utilized by the engineers for quick development of the PZT transducers to perform precise function in welding.
基金The study is financially supported by the National Major Research Instrument Development Project of the National Natural Science Foundation of China(Grant No.51627812)the National Natural Science Foundation of China(Grant No.52078181)the Natural Science Foundation of Hebei Province,China(Grant No.E2019202484)。
文摘Quantitative damage identification of surrounding rock is important to assess the current condition and residual strength of underground tunnels.In this work,an underground tunnel model with marble-like cementitious materials was first fabricated using the three-dimensional(3D)printing technique and then loaded to simulate its failure mode in the laboratory.Lead zirconate titanate piezoelectric(PZT)transducers were embedded in the surrounding rock around the tunnel in the process of 3D printing.A 3D monitoring network was formed to locate damage areas and evaluate damage extent during loading.Results show that as the load increased,main cracks firstly appeared above the tunnel roof and below the floor,and then they coalesced into the tunnel boundary.Finally,the tunnel model was broken into several parts.The resonant frequency and the peak of the conductance signature firstly shifted rightwards with loading due to the sealing of microcracks,and then shifted backwards after new cracks appeared.An overall increase in the root-mean-square deviation(RMSD)calculated from conductance signatures of all the PZT transducers was observed as the load(damage)increased.Damage-dependent equivalent stiffness parameters(ESPs)were calculated from the real and imaginary signatures of each PZT at different damage states.Satisfactory agreement between equivalent and experimental ESP values was achieved.Also,the relationship between the change of the ESP and the residual strength was obtained.The method paves the way for damage identification and residual strength estimation of other 3D printed structures in civil engineering.
文摘Piezoelectric(PZ)energy has been paid attention to as conventional renewable energy sources including solar,wind,and geothermal power.To address the dilemma of climatic conditions affecting the energy harvesting using Lead Zirconate Titanate(PZT)in pavement,wafer-boxes were used with embedded PZT sensors,since wafer-boxes have the ability to be embedded in the pavement where sensors are protected from any kind of physical damage.This research project was designed to identify which shaped wafer-box produced the most electric voltage and power.Various forms of wafer-box were developed to identify if there was any potential difference in voltage generation due to the structural shapes of the box.Seven different shapes of prototype wafer-boxes were designed utilizing both a 3D printer and 3D Computer Aided Design(CAD).These wafer-boxes were coupled with embedded PZT sensors which were tested in asphalt pavement analyzer(APA)machine under certain load to produce electric voltage.Collected voltage data from the APA wheel load test(WLT)were analyzed using various statistical methods.The statistical analyses results indicated that out of the seven different shaped wafer-boxes,the right-angled triangular shaped box produced the highest average voltage values where’s square shaped wafer-box produced the lowest amount of voltage.Structural properties of a wafer-box in terms of section modulus,area moment of inertia,extreme points,and radius of gyration were also analyzed,and a regression analysis was conducted to identify the reasons of different amounts of voltage produced.These voltage values could be used to calculate the power using power formulas showing relationship between power and voltage values.The outcome helped to identify which shape is most effective to power generation under certain circumstances.The regression analysis results indicated that out of four properties the section modulus is the most influential structural property affecting voltage production.
文摘This paper discusses the validity of (adaptive) Lagrange generalized plain finite element method (FEM) and plate element method for accurate analysis of acoustic waves in multi-layered piezoelectric structures with tiny interfaces between metal electrodes and surface mounted piezoelectric substrates. We have come to conclusion that the quantitative relationships between the acoustic and electric fields in a piezoelectric structure can be accurately determined through the proposed finite element methods. The higher-order Lagrange FEM proposed for dynamic piezoelectric computation is proved to be very accurate (prescribed relative error 0.02% - 0.04% ) and a great improvement in convergence accuracy over the higher order Mindlin plate element method for piezoelectric structural analysis due to the assumptions and corrections in the plate theories.The converged lagrange finite element methods are compared with the plate element methods and the computedresults are in good agreement with available exact and experimental data. The adaptive Lagrange finite elementmethods and a new FEA computer program developed for macro- and micro-scale analyses are reviewed, and recently extended with great potential to high-precision nano-scale analysis in this paper and the similarities between piezoelectric and seismic wave propagations in layered structures and plates are stressed.