Modeling and Analysis of 1-3 Piezoelectric Composites

2002 ◽  
Author(s):  
Sanjay Nakhwa ◽  
Anil Saigal
Keyword(s):  
Boundary Conditions ◽  
Material Properties ◽  
Volume Fraction ◽  
Transversely Isotropic ◽  
Unit Cell ◽  
Coupling Constants ◽  
Upper And Lower Bounds ◽  
Piezoelectric Composite ◽  
Piezoelectric Composites ◽  
Material Constants

Theoretical results of the material properties of piezoelectric composites are generally limited to the transversely isotropic composites and are usually given in the form of upper and lower bounds. In most of these analyses all the material constants cannot be determined. However, the method of effective field has been used on a transversely isotropic piezoelectric composite to theoretically calculate all the ten material properties. In this work an alternative method to determine all the elastic, dielectric and piezoelectric coupling constants of 1-3 piezoelectric composite with periodic arrangement of fibers are investigated by using finite element analysis on a unit cell model. FEA of unit cell models for hexagonal, square with diagonal and square with edge orientation topologies are performed. Different mechanical and electrical loading patterns and their corresponding boundary conditions are formulated and simulated to get data necessary for deriving the various anisotropic material constants. FEA results are compared with those of the theoretical work. Effect of different parameters e.g. volume fraction, topology and electrical boundary conditions on the different material constants are discussed.

Distributed Design of Two-Scale Structures With Unit Cells

2019 ◽  
Author(s):  
Xingchen Liu
Keyword(s):  
Material Property ◽  
Material Properties ◽  
Volume Fraction ◽  
Base Material ◽  
Structure Design ◽  
Unit Cell ◽  
Steady Increase ◽  
Coarse Scale ◽  
Cell Structures ◽  
Wide Range

Abstract The use of unit cell structures in mechanical design has seen a steady increase due to their abilities to achieve a wide range of material properties and accommodate multi-functional requirements with a single base material. We propose a novel material property envelope (MPE) that encapsulates the attainable effective material properties of a given family of unit cell structures. The MPE interfaces the coarse and fine scales by constraining the combinations of the competing material properties (e.g., volume fraction, Young’s modulus, and Poisson’s ratio of isotropic materials) during the design of coarse scale material properties. In this paper, a sampling and reconstruction approach is proposed to represent the MPE of a given family of unit cell structures with the method of moving least squares. The proposed approach enables the analytical derivatives of the MPE, which allows the problem to be solved more accurately and efficiently during the design optimization of the coarse scale effective material property field. The effectiveness of the proposed approach is demonstrated through a two-scale structure design with octet trusses that have cubically symmetric effective stiffness tensors.

Exact results in the micromechanics of fibrous piezoelectric composites exhibiting pyroelectricity

1993 ◽  
Vol 441 (1911) ◽  
pp. 59-81 ◽  
Keyword(s):  
Transversely Isotropic ◽  
Dielectric Constants ◽  
Local Fields ◽  
Piezoelectric Composite ◽  
Uniform Temperature ◽  
Piezoelectric Composites ◽  
Three Phase ◽  
Phase Systems ◽  
Electromechanical Loading ◽  
Exact Relations

Piezoelectric fibrous composites of two, three and four phases are considered. The phase boundaries are cylindrical but otherwise the microgeometry is totally arbitrary. The constituents are transversely isotropic, and exhibit pyroelectricity. Exact relations are derived between the local fields arising under a uniform electromechanical loading and a uniform temperature change in the piezoelectric composite. For given overall material symmetry, exact connections are obtained among the effective elastic, piezoelectric and dielectric constants of two- and three- phase systems. It is also shown that the effective thermal stress and pyroelectric coefficients can be expressed in terms of the effective elastic, piezoelectric, dielectric constants and constituent properties in two-, three- and four-phase composites.

scholarly journals Evaluation of Effective Elastic, Piezoelectric, and Dielectric Properties of SU8/ZnO Nanocomposite for Vertically Integrated Nanogenerators Using Finite Element Method

2017 ◽  
Vol 2017 ◽  
pp. 1-14 ◽  
Author(s):  
Neelam Mishra ◽  
Braj Krishna ◽  
Randhir Singh ◽  
Kaushik Das
Keyword(s):  
Finite Element Method ◽  
Finite Element ◽  
Material Properties ◽  
Volume Fraction ◽  
Dielectric Material ◽  
Mechanical Energy ◽  
Zno Nanowires ◽  
Piezoelectric Composite ◽  
Fem Simulations ◽  
Element Method

A nanogenerator is a nanodevice which converts ambient mechanical energy into electrical energy. A piezoelectric nanocomposite, composed of vertical arrays of piezoelectric zinc oxide (ZnO) nanowires, encapsulated in a compliant polymeric matrix, is one of most common configurations of a nanogenerator. Knowledge of the effective elastic, piezoelectric, and dielectric material properties of the piezoelectric nanocomposite is critical in the design of a nanogenerator. In this work, the effective material properties of a unidirectional, unimodal, continuous piezoelectric composite, consisting of SU8 photoresist as matrix and vertical array of ZnO nanowires as reinforcement, are systematically evaluated using finite element method (FEM). The FEM simulations were carried out on cubic representative volume elements (RVEs). Four different types of arrangements of ZnO nanowires and three sizes of RVEs have been considered. The volume fraction of ZnO nanowires is varied from 0 to a maximum of 0.7. Homogeneous displacement and electric potential are prescribed as boundary conditions. The material properties are evaluated as functions of reinforcement volume fraction. The values obtained through FEM simulations are compared with the results obtained via the Eshelby-Mori-Tanaka micromechanics. The results demonstrate the significant effects of ZnO arrangement, ZnO volume fraction, and size of RVE on the material properties.

Numerical Modeling of PZT- Piezoelectric Composites with Passive and Active Polymer Matrix

2019 ◽  
Vol 821 ◽  
pp. 445-451
Author(s):  
Oboso P. Benard ◽  
Nagih M. Shaalan ◽  
Nakamura Koichi ◽  
Atef E. Mahmoud ◽  
Mohsen A. Hassan
Keyword(s):  
Polymer Matrix ◽  
Volume Fraction ◽  
Homogenization Method ◽  
Piezoelectric Composite ◽  
Electromechanical Properties ◽  
Piezoelectric Composites ◽  
Voltage Coefficient ◽  
Constituent Material ◽  
Piezoelectric Polymer ◽  
Composite Properties

Piezoelectric composite materials with a polymer matrix are important for underwater acoustic and biomedical imaging applications. The dependence of electromechanical properties of piezoelectric composite on constituent material characteristics and shape of piezoelectric inclusions is a central problem that provides the opportunity to tailor the performance of piezoelectric composites according to design needs. A numerical model has been developed to investigate the electromechanical properties of 1-3 piezoelectric composites with a passive and active polymer matrix. Maxwell Homogenization method is employed to homogenize the solution domain. It is demonstrated that the use of PVDF as an active polymer matrix has a significant influence on piezoelectric charge coefficient d31, hydrostatic coefficient dh, voltage coefficient gh, and hydrophone figure of merit ghdh when compared to the passive Araldite-D polymer matrix. Overall, a 5 to 30% volume fraction of PZT-7A fiber inclusions in an active polymer matrix is the optimum ratio that has a significant effect on piezoelectric properties. The accuracy and effectiveness of homogenized material constants were verified by comparing the derived composite properties with experimental work published elsewhere. These results provide much needed intuitiveness in the development of piezoelectric polymer composite with better performance for transducer applications.

scholarly journals Influence of Boundary Conditions on the Simulation of a Diamond-Type Lattice Structure: A Preliminary Study

2017 ◽  
Vol 2017 ◽  
pp. 1-8 ◽  
Author(s):  
Patrick Terriault ◽  
Vladimir Brailovski
Keyword(s):  
Boundary Conditions ◽  
Material Properties ◽  
Lattice Structure ◽  
Industrial Applications ◽  
Unit Cell ◽  
Equivalent Material ◽  
Unit Cells ◽  
Type Lattice ◽  
Diamond Type ◽  
Equivalent Material Properties

Emergent additive manufacturing processes allow the use of metallic porous structures in various industrial applications. Because these structures comprise a large number of ordered unit cells, their design using conventional modeling approaches, such as finite elements, becomes a real challenge. A homogenization technique, in which the lattice structure is simulated as a fully dense volume having equivalent material properties, can then be employed. To determine these equivalent material properties, numerical simulations can be performed on a single unit cell of the lattice structure. However, a critical aspect to consider is the boundary conditions applied to the external faces of the unit cell. In the literature, different types of boundary conditions are used, but a comparative study is definitely lacking. In this publication, a diamond-type unit cell is studied in compression by applying different boundary conditions. If the porous structure’s boundaries are free to deform, then the periodic boundary condition is found to be the most representative, but constraint equations must be introduced in the model. If, instead, the porous structure is inserted in a rigid enclosure, it is then better to use frictionless boundary conditions. These preliminary results remain to be validated for other types of unit cells loaded beyond the yield limit of the material.

Performance Analysis of the 1-3 Piezoelectric Composites and Transducer Fabrication

2011 ◽  
Vol 687 ◽  
pp. 339-342 ◽  
Author(s):  
Min Sun ◽  
Dong Yu Xu ◽  
Shi Feng Huang
Keyword(s):  
Resonant Frequency ◽  
Volume Fraction ◽  
Relative Dielectric Constant ◽  
Piezoelectric Composite ◽  
Piezoelectric Composites ◽  
Figures Of Merit ◽  
The Matrix ◽  
Filling Method ◽  
Piezoelectric Strain ◽  
Piezoelectric Voltage

1-3 polymer-based piezoelectric composites were fabricated using epoxy as the matrix by the cut-filling method. The influences of PMN volume fraction on the piezoelectric and dielectric properties of the composite were analyzed, and then the piezoelectric composite was fabricated to transducer whose properties were also analyzed. The results indicate that with increasing the PMN volume fraction, both the hydrostatic piezoelectric voltage gh and hydrostatic figures of merit dh·gh of the composite decrease, while the relative dielectric constant εr increases. The hydrostatic piezoelectric strain dh has the optimum value in the PMN volume fraction range of 40%-60%. The resonant frequency of transducer in water is 306.5 kHz and anti-resonant frequency is 352.6 kHz.

Effective Behavior of Piezoelectric Composites

1994 ◽  
Vol 47 (1S) ◽  
pp. S112-S121 ◽  
Author(s):  
Biao Wang
Keyword(s):  
Electric Field ◽  
Piezoelectric Material ◽  
Transversely Isotropic ◽  
Piezoelectric Composite ◽  
Algebraic Equations ◽  
Piezoelectric Composites ◽  
Spheroidal Inclusion ◽  
Linear Algebraic Equations ◽  
General Relations ◽  
Effective Constants

In this paper, general relations between the overall properties of piezoelectric composites and the properties of their constituents are derived. Based on the solution for an ellipsoidal inclusion in a piezoelectric material developed by Wang (Int. J. Solids and Structures, 29, 293, 1992), it is found that the coupled elastic and electric field inside a spheroidal inclusion in a transversely isotropic, piezoelectric matrix can be expressed in terms of a system of the linear algebraic equations which contains only some simple integrals. These internal fields are then used to obtain the effective constants of a piezoelectric composite.

Fabrication and Properties of 1-3 Polymer Modified Cement Based Piezoelectric Composites

2011 ◽  
Vol 306-307 ◽  
pp. 305-308 ◽  
Author(s):  
Li Li Guo ◽  
Mi Mi Li ◽  
Min Sun ◽  
Dong Yu Xu ◽  
Shi Feng Huang
Keyword(s):  
Quality Factor ◽  
Acoustic Impedance ◽  
Piezoelectric Ceramic ◽  
Volume Fraction ◽  
Piezoelectric Composite ◽  
Electromechanical Properties ◽  
Piezoelectric Composites ◽  
Lithium Zirconate ◽  
Non Destructive ◽  
Thickness Mode

A piezoelectric ceramic(lead niobium lithium zirconate titanate, P(LN)ZT), sulphoaluminate cement and polymer were used to fabricate polymer modified cement based piezoelectric composites by cut-filling technique. The influence of P(LN)ZT volume fraction on the electromechanical properties and acoustic impedance of composite was investigated. Comparing with P(LN)ZT Piezoelectric ceramic, the vibration at thickness mode of 1-3 type piezoelectric composite is strengthened, and the electromechanical quality factor is reduced. When P(LN)ZT volume fraction is 30.86%, the acoustic impedance value is 8.24 M rayl, which is close to that of the concrete (9.0 M rayl), and this is suitable for the non destructive inspection.

Effect of Shape Parameter on the Performance of 1-3 Piezoelectric Composites

2011 ◽  
Vol 306-307 ◽  
pp. 301-304
Author(s):  
Min Sun ◽  
Hua Wang ◽  
Shi Feng Huang ◽  
Xin Cheng
Keyword(s):  
Electromechanical Coupling ◽  
Shape Parameter ◽  
Volume Fraction ◽  
Electromechanical Coupling Factor ◽  
Coupling Factor ◽  
Cross Sectional Area ◽  
Piezoelectric Composite ◽  
Sectional Area ◽  
Cross Sectional ◽  
Piezoelectric Composites

1-3 polymer-based piezoelectric composites were fabricated using epoxy as matrix by the cut-filling method. The influences of shape parameter on properties of the piezoelectric composite, which include the unit cross-sectional area and the aspect ratio w/t were analyzed. The results indicate that with the increasing of the unit cross-sectional area, the quality factor valueQmincreases and the hydrostatic piezoelectric voltageghincreases and then goes down rapidly while the PMN volume fractionφ(PMN) is kept under the 50%. When theφ(PMN) is 60%,ghis decreased. The trend of the hydrostatic figures of meritdh·ghis similar withghas the change of the unit cross-sectional area, but the value is different. In the 60% PMN volume fraction, the optimal value of thedh·ghis chosen. With the increasing of thew/t, the hydrostatic pressure sensitivityMh, thedh·ghvalues and theQmvalues are all decreased rapidly, and the thickness electromechanical coupling factorktis increased. In other words, the test results show that the smaller of unit cross-sectional area and thinner of thickness, the more helpful for frequency bandwidth and sensitivity when it is used in transducer.

Dynamic Behavior of Sandwich FGM Beams

2020 ◽  
Vol 22 (4) ◽  
pp. 919-930
Author(s):  
Mohamed Bouamama ◽  
Kaddour Refassi ◽  
Abbes Elmeiche ◽  
Abdelkader Megueni
Keyword(s):  
Boundary Conditions ◽  
Power Law ◽  
Material Properties ◽  
Natural Frequencies ◽  
Volume Fraction ◽  
Equation Of Motion ◽  
Sandwich Beams ◽  
Thickness Direction ◽  
Base Materials ◽  
Fgm Layer

AbstractThis work is consisted to investigate the vibration behavior of FGM beams under different boundary conditions with diverse volume fraction. The main objective in this paper is to study the thickness influence of the sandwich beams skin on the frequencies of the structures. The classical Euler-Bernoulli theory (CLBT) with assuming that the material properties of the FGM layer will evaluated continuously in the thickness direction according to the power law (P-FGM) is used to derived the equation of motion. The frequencies obtained are compared with the natural frequencies of a two-material and those of the base materials.

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