On the modeling and design of piezocomposites with prescribed properties

Sevostianov, Igor; Levin, V. M.; Kachanov, Mark

doi:10.1007/s004190100181

Cited by 37 publications

(12 citation statements)

References 24 publications

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“…Moreover, the reliability of AHM was proofed in Guinovart-Díaz et al (2001) and Guinovart-Díaz et al (2002) where also a com- parison with irregular in-plane distribution of the fibers was done. There a good concordance has been observed between the models for the calculation of effective coefficients with random distribution and regular distribution of the fibers using AHM and method of effective field reported in Sevostianov et al (2001). The results in this paper show in general a good coincidence between calculation by AHM und FEM.…”

Section: Discussion Of Resultssupporting

confidence: 84%

An analytical and numerical approach for calculating effective material coefficients of piezoelectric fiber composites

Berger

Kari

Gabbert

et al. 2005

International Journal of Solids and Structures

212

141

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The present work deals with the modeling of 1-3 periodic composites made of piezoceramic (PZT) fibers embedded in a soft non-piezoelectric matrix (polymer). We especially focus on predicting the effective coefficients of periodic transversely isotropic piezoelectric fiber composites using representative volume element method (unit cell method). In this paper the focus is on square arrangements of cylindrical fibers in the composite. Two ways for calculating the effective coefficients are presented, an analytical and a numerical approach. The analytical solution is based on the asymptotic homogenization method (AHM) and for the numerical approach the finite element method (FEM) is used. Special attention is given on definition of appropriate boundary conditions for the unit cell to ensure periodicity. With the two introduced methods the effective coefficients were calculated for different fiber volume fractions. Finally the results are compared and discussed.

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Section: Discussion Of Resultssupporting

confidence: 84%

An analytical and numerical approach for calculating effective material coefficients of piezoelectric fiber composites

Berger

Kari

Gabbert

et al. 2005

International Journal of Solids and Structures

212

141

View full text Add to dashboard Cite

show abstract

“…These smart composites, e.g., Polymer/PZT composites, have become attractive candidates for use in transducers for underwater and biomedical imaging applications [1][2][3]. However, interface cracking, as in fiber reinforced composite laminates, should be considered as one of the most common failure type of elastic dielectric/ piezoelectric composites [4,5].…”

Section: Introductionmentioning

confidence: 99%

Analysis of a permeable interface crack in elastic dielectric/piezoelectric bimaterials

Chen

2007

Acta Mech. Sin.

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A permeable interface crack between elastic dielectric material and piezoelectric material is studied based on the extended Stroh's formalism. Motivated by strong engineering demands to design new composite materials, the authors perform numerical analysis of interface crack tip singularities and the crack tip energy release rates for 35 types of dissimilar bimaterials, respectively, which are constructed by five kinds of elastic dielectric materials: Epoxy, Polymer, Al 2 O 3 , SiC, and Si 3 N 4 and seven kinds of practical piezoelectric ceramics: PZT-4, BaTiO 3 , PZT-5H, PZT-6B, PZT-7A, P-7, and PZT-PIC 151, respectively. The elastic dielectric material with much smaller permittivity than commercial piezoelectric ceramics is treated as a special transversely isotropic piezoelectric material with extremely small piezoelectricity. The present investigation shows that the structure of the singular field near the permeable interface crack tip consists of three singularities: r −1/2±iε and r −1/2 , which is quite different from that in the impermeable interface crack. It can be concluded that different far field loading cases have significant influence on the near-tip fracture behaviors of the permeable interface crack. Based on the present theoretical treatment and numerical analysis, the electric field induced crack growth is well explained, which provides a better understanding of the failure mechanism induced from interface crack growth in elastic dielectric/piezoelectric bimaterials.

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“…Similarly, many researchers have extended the classical two-phase models to thermoelectroelastic composites Budiansky, 1965, etc.). Using the method of effective field, Sevostianov et al (2001) derived the electroelastic constants of piezocomposites, and Levin and Luchaninov (2001) further considered the thermo-piezoelectric matrix composites. They presented explicit expressions for the effective pyroelectric, dielectric, piezoelectric, elastic and thermoelastic constants of such composites.…”

Section: Introductionmentioning

confidence: 99%

An exact solution for the three-phase thermo-electro-magneto-elastic cylinder model and its application to piezoelectric–magnetic fiber composites

Tong

Jiang

et al. 2008

International Journal of Solids and Structures

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a b s t r a c tA three-phase cylindrical model for analyzing fiber composite subject to in-plane mechanical load under the coupling effects of multiple physical fields (thermo, electric, magnetic and elastic) is presented. By introducing an eigenstrain corresponding to the thermo-electro-magnetic-elastic effect, the complex multi-field coupling problem can be reduced to a formal in-plane elasticity problem for which an exact closed form solution is available. The present three-phase model can be applied to fiber/interphase/matrix composites, such that a lot of interesting thermo-electro-magnetism and stress coupling phenomena induced by the interphase layer are revealed. The present model can also be applied to fiber/matrix composites, in terms of which a generalized self-consistent method (GSCM) is developed for predicting the effective properties of piezoelectric-magnetic fiber reinforced composites. The effective piezoelectric, piezomagnetic, thermoelectric and magnetoelectric moduli can be expressed in compact explicit formulae for direct references and applications. A comparison of the predictions by the GSCM with available experimental data is presented, and interesting magnification effects and peculiar product properties are discussed. As a theoretical basis for the GSCM, the equivalence of the three sets of different average field equations in predicting the effective properties are proved, and this fact provides a strong evidence of mathematical rigor and physical realism in the formulation.

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On the modeling and design of piezocomposites with prescribed properties

Cited by 37 publications

References 24 publications

An analytical and numerical approach for calculating effective material coefficients of piezoelectric fiber composites

An analytical and numerical approach for calculating effective material coefficients of piezoelectric fiber composites

Analysis of a permeable interface crack in elastic dielectric/piezoelectric bimaterials

An exact solution for the three-phase thermo-electro-magneto-elastic cylinder model and its application to piezoelectric–magnetic fiber composites

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