Finite Element Analysis for Nonlinear Time Dependent Response of Piezoelectric Materials

2012 ◽  
Author(s):  
Amir Sohrabi ◽  
Anastasia Muliana
Keyword(s):  
Finite Element ◽  
Electric Field ◽  
Piezoelectric Material ◽  
Nonlinear Response ◽  
Electromechanical Coupling ◽  
Piezoelectric Materials ◽  
High Electric Field ◽  
Time Dependent ◽  
Coupling Coefficients ◽  
Pzt Ceramics

Piezoelectric materials show nonlinear response under high electric field. In addition, recent experiments showed that the electromechanical coupling coefficients of polarized piezoelectric materials, such as PZT ceramics, change with time, leading to history dependent and hysteretic responses in these materials. In this study, the coupling behavior of piezoelectric material under high electric field is investigated. The electromechanically coupled constitutive equation that accounts for history of mechanical loading and electric field is used for the piezoelectric materials. Effect of high electric field which causes nonlinearity in response of piezoelectric material is modeled by taking the material’s electromechanical coupling coefficients to be dependent on applied electric field and single time integration model is employed to incorporate history-dependent behavior. A continuum finite element with displacement and electric potential degrees of freedom that incorporates nonlinear history dependent effect is developed. Nonlinear finite element solver is formulated by using direct iteration method at element level and recursive iterative method at material (Gaussian) integration points. Nonlinear time-dependent finite element formulation is validated by comparing its response with experimental data on PZT ceramics. History dependent and nonlinear response of PZTs due to electric field and stress is discussed. Developed finite element is capable of modeling behavior of smart structures with piezoelectric sensors and actuators.

scholarly journals Deposition of Energy using Piezoelectric Material and its Application in TPMS

2021 ◽  
Vol 9 (VI) ◽  
pp. 4236-4241
Author(s):  
Vishal Singh
Keyword(s):  
Piezoelectric Material ◽  
Electromechanical Coupling ◽  
Vibrational Energy ◽  
Piezoelectric Materials ◽  
Electronic Systems ◽  
Ambient Vibrations ◽  
Tire Pressure ◽  
Sufficient Energy ◽  
Tire Pressure Monitoring System ◽  
Self Powered

The limited lifespan in portable, remote and implantable devices and the need to recharge or replace batteries periodically has been a consistent issue. Ambient energy can usually be found in the form of thermal energy, vibrational energy and solar energy. Among these energy sources, vibrational energy presents a constant presence in nature and artificial structures. Energy harvesting through piezoelectric materials by extracting power from ambient vibrations is a promising technology. The material is capable to harvest sufficient energy required to make autonomous and self-powered electronic systems. The characteristic of piezoelectric material is electromechanical coupling between electrical and mechanical domains. The design of a piezoelectric device for the purpose of storing the kinetic energy of random vibrations at the wheel of a vehicle is presented. The harvester is optimized to power the Tire Pressure Monitoring System (TPMS). The aim is to make of the value of power and voltage outputs for different input frequency conditions. A typical TPMS system consists of a battery operated one, in this paper bimorph is designed to powering a TPMS commercial feasibility of this option is compared to existing TPMS modules, which require batteries for operation.

EFFECT OF RARE-EARTH (RE = La, Nd, Ce AND Gd) DOPING ON THE PIEZOELECTRIC of PZT(52:48) CERAMICS

2007 ◽  
Vol 21 (26) ◽  
pp. 4549-4559 ◽  
Author(s):  
N. UDOMKAN ◽  
P. LIMSUWAN ◽  
T. TUNKASIRI
Keyword(s):  
Rare Earth ◽  
Preparation Method ◽  
Piezoelectric Materials ◽  
Rare Earth Ions ◽  
Coupling Coefficients ◽  
Pzt Ceramics ◽  
Piezoelectric Coupling ◽  
Piezoelectric Characteristics ◽  
Maximum Permittivity ◽  
Effect Of Doping

The purpose of this research is to study the effect of doping some rare earth ions into PZT(52:48) ceramics. The ferroelectric Pb ( Zr x Ti 1-x) O 3 ceramics are well-known as piezoelectric materials for electro-mechanical transducers such as ultrasonic generator, electronic buzzer, and stress sensor, etc. The highest piezoelectric coupling coefficients as well as maximum permittivity are located near the morphotropic phase boundary (MPB). The region of phase transition between the tetragonal and rhombohedral structures in the Pb ( Zr x Ti 1-x) O 3 ceramic shows very adoptable piezoelectric characteristics due to the phase coexistence phenomena, and exhibits a sensitivity of properties to the preparation method, the composition, the firing temperatures and the kinds of additives. The purpose of this research is to study the effect of doping La , Nd , Ce and Gd into Pb ( Zr 0.52 Ti 0.48) O 3 ceramics prepared by solid state reaction. The properties include microstructure, physical properties, dielectric constant (εr) and piezoelectric properties (kp and Qm) of undoped and La , Nd , Ce and Gd doped PZT ceramics. Several effects, such as firing temperature, grain size and dopants, on the properties of PZT were also studied. The undoped PZT ceramics with Zr/Ti at 52/48 indicated the highest εr=1969 and kp= 0.381 for La doping. Doping with La , Nd , Ce and Gd led to an improvement in the εr but a reduced Qm value. The optimum values of electric properties were found in PZT (52/48) doped La with 10.0 mol% sintered at 1200°C for 2 h.

Effect of Bi2O3 Addition on the Microstructure and Electrical Properties of Lead-Free (Na0.5K0.5)NbO3-Ba(Sn0.02Ti0.98)O3 Ceramics

2013 ◽  
Vol 284-287 ◽  
pp. 3-7
Author(s):  
Chun Huy Wang
Keyword(s):  
Coupling Coefficient ◽  
Electromechanical Coupling ◽  
Piezoelectric Properties ◽  
Piezoelectric Materials ◽  
Dominant Role ◽  
Lead Free ◽  
Coupling Coefficients ◽  
Sintering Process ◽  
Environment Problem ◽  
Lead Free Ceramics

PbZrO3-PbTiO3 (PZT)-based ceramics are playing a dominant role in piezoelectric materials, their evaporation of harmful lead oxide during the sintering process causes a crucial environment problem. It is necessary to search for lead-free piezoelectric materials that have such excellent properties as those found in the PZT-based ceramics. Therefore (Na0.5K0.5)NbO3-based solid solutions were studied to improve piezoelectric properties. In the present study, various quantities of Bi2O3 were added into 0.98(Na0.5K0.5)NbO3-0.02Ba(Sn0.02Ti0.98)O3 (0.98NKN-0.02BST) ceramics. It was found that 0.98NKN-0.02BST with the addition of 0~4.0 wt.% Bi2O3 exhibit relatively good piezoelectric properties. For 0.98NKN-0.02BST ceramic with the addition of 1.0 wt.% Bi2O3, the electromechanical coupling coefficients of the planar mode kp and the thickness mode kt reach 0.21 and 0.46, respectively, at the sintering of 1100oC for 3 h. The ratio of thickness coupling coefficient to planar coupling coefficient is 2.2. It is obvious that 0.98NKN-0.02BST solid solution ceramic by adding low quantities of Bi2O3 is one of the promising lead-free ceramics for high frequency electromechanical transducer applications.

Analysis of Semipermeable Crack Growth in Piezoelectric Materials Using Extended Finite Element Method

2017 ◽  
Vol 09 (07) ◽  
pp. 1750106 ◽  
Author(s):  
G. Pamnani ◽  
S. Bhattacharya ◽  
S. Sanyal
Keyword(s):  
Finite Element Method ◽  
Finite Element ◽  
Crack Growth ◽  
Extended Finite Element Method ◽  
Electromechanical Coupling ◽  
Piezoelectric Materials ◽  
Integral Approach ◽  
Intensity Factors ◽  
Extended Finite Element ◽  
Element Method

Piezoelectric materials possess special characteristics of electromechanical coupling behavior and thus have found numerous applications such as transducers, sensors, actuators. Fracture of piezoelectric materials has drawn substantial attention of the research community and is being widely investigated for predicting their failure. Most of the research on piezoelectric materials is based on impermeable crack conditions. In the present study semi-permeable crack boundary conditions has been analyzed using the extended finite element method (XFEM). Combined Mechanical and Electrical loading with quasi-static crack growth has been considered on a pre-cracked rectangular plate with crack at its edge and center. Stress intensity factors have been evaluated by interaction integral approach using the asymptotic crack tip fields. Effect of presence of minor cracks and holes have been analyzed on the intensity factors of semi-permeable major crack.

The Characterization of Two Dimensional Electrostrictive CuInP2S6 Materials for Transducers

2006 ◽  
Vol 514-516 ◽  
pp. 230-234 ◽  
Author(s):  
Vytautas Samulionis ◽  
Juras Banys ◽  
Yulian Vysochanskii
Keyword(s):  
Electric Field ◽  
Electromechanical Coupling ◽  
Bias Field ◽  
Thin Plates ◽  
Electromechanical Coupling Coefficient ◽  
Two Dimensional ◽  
Coupling Coefficients ◽  
Bias Electric Field ◽  
Two Dimensional Materials ◽  
Dc Electric Field

The electromechanical properties of layered, two-dimensional materials of CuInP2S6 family have been investigated. It was shown that, at room temperature, which is above phase transition and under DC bias electric field, these materials behave as a piezoelectric because of electrostriction. In this case, the piezoelectric and electromechanical coupling coefficients are odd functions of the bias field and have a linear dependence on the bias field. The relative changes of ultrasonic velocity are found to have a quadratic dependence on the bias DC field. In bias fields of about 20 kV/m, the values of square of electromechanical coupling coefficient could be high enough (>20%) for longitudinal vibrations in thin plates of investigated CuInP2(S,Se)6 materials in the paraelectric phase. In the ferroelectric phase, the external DC electric field acts as polarizing field and electromechanical coupling coefficients sufficiently increase. At the transitions, the piezoelectric anomalies have been observed.

Nonlinear Piezoelectric Material Properties and Non-Uniform Poling in a Flexible Electro-Active Composite Finite Element Model

2016 ◽  
Author(s):  
Joseph Calogero ◽  
Hassene Ben Atitallah ◽  
Nicholas Wyckoff ◽  
Zoubeida Ounaies ◽  
Mary Frecker
Keyword(s):  
Finite Element ◽  
Electric Field ◽  
Finite Element Model ◽  
Electric Fields ◽  
Lead Zirconate Titanate ◽  
Material Properties ◽  
Electromechanical Coupling ◽  
Element Model ◽  
Nonlinear Material ◽  
Interdigitated Electrodes

Active Fiber Composites (AFCs) are piezoelectric devices comprised of long cylindrical fibers, typically made of ceramic lead zirconate titanate (PZT), embedded in an epoxy polymer. AFCs use interdigitated electrodes to produce electric field lines parallel to the fibers (33-mode) rather than across the diameter, exploiting the stronger out-of-plane electromechanical coupling. Nonlinear piezoelectric and dielectric terms and non-uniform poling are often neglected in modeling AFCs due to the added complexity, however including the terms improves accuracy for strong electric fields and where the electrode geometry causes non-uniform electric fields. For that reason, a new finite element model of the AFC is developed which includes the effect of nonlinearities in piezoelectric strain constants and electric permittivity due to a non-uniform applied electric field resulting from two sets of interdigitated electrodes. The methods used to apply the nonlinear constitutive equations and poling are described. A comparison of the AFC response with linear and nonlinear material properties, with non-uniform poling, is shown for increasing applied electric fields. The difference in AFC response illustrates the necessity to include Rayleigh Law terms and non-uniform poling in the model.

Sign in / Sign up

Export Citation Format

Share Document