An analytical expression for prediction of the effective dielectric constant of a three phase 0-3-0 ferroelectric composite is presented. The analytical results are verified with the experimental results from Nan et al. (2002, “Three-Phase Magnetoelectric Composite of Piezoelectric Ceramics, Rare-Earth Iron Alloys, and Polymer,” Appl. Phys. Lett., 81(20), p. 3831). The analytical model is extended to include the shape of a third phase inclusion to examine the influence of the shape (of the inclusion) on the effective dielectric constant of the composite. The dielectric constant increases as much as seven times when the aspect ratio of the conducting inclusion particle is increased from 1 (sphere) to 10 (spheroid). A comparison of the analytical predictions with the experimental values, which indicate that the increase in aspect ratio of the inclusions has a significant effect on the overall dielectric constant of the composite.
Issue Section:
Research Papers
References
1.
Nan
, C.-W.
, Liu
, L.
, Cai
, N.
, Zhai
, J.
, Ye
, Y.
, and Lin
, Y. H.
, 2002, “A Three-Phase Magnetoelectric Composite of Piezoelectric Ceramics, Rare-Earth Iron Alloys, and Polymer,”
Appl. Phys. Lett.
, 81
(20
), p. 3831
.2.
Dong
, B.
, and Li
, Z.
, 2005, “Cement-Based Piezoelectric Ceramic Smart Composites,”
Compos. Sci. Technol.
, 65
, pp. 1363
–1371
.3.
Huang
, S.
, Chang
, J.
, Lu
, L.
, Liu
, F.
, Ye
, Z.
, and Cheng
, X.
, 2005, “Preparation and Polarization of 0-3 Cement Based Piezoelectric Composites,”
Mater. Res. Bull.
, 41
, pp. 291
–297
.4.
Li
, Z.
, Zhang
, D.
, and Wu
, K.
, 2002, “Cement-Based 0-3 Piezoelectric Composites,”
J. Am. Ceram. Soc.
, 85
, pp. 305
–313
.5.
Nan
, C.-W.
, Liu
, L.
, Cai
, N.
, Zhai
, J.
, Ye
, Y.
, Lin
, Y. H.
, Dong
, L. J.
, and Xiong
, C. X.
, 2002, “A Three-Phase Magnetoelectric Composite of Piezoelectric Ceramics, Rare-Earth Iron Alloys, and Polymer,”
Appl. Phys. Lett.
, 81
(20
), pp. 3831
–3833
.6.
Zola
, J. J.
, 1989, Ultrasonic Transducer Arrays Made From Composite Piezoelectric Materials
, North American Philips Corp.
, New York, NY
.7.
Blanas
, P.
, and Das-Gupta
, D. K.
, 2000, “Composite Piezoeelctric Materials for Health Monitoring of Composite Structures,”
Material Research Society Symposium Proceedings
, Material Research Society
.8.
Vankatragavaraj
, E.
, Satish
, B.
, Vinod
, P. R.
, and Vijaya
, M. S.
, 2001, “Piezoelectric Properties of Ferroelectric PZT-Polymer Composites,”
J. Phys. D
, 34
, pp. 487
–492
.9.
Levassort
, F.
, Lethiecq
, M.
, gomez
, T.
, and Espinosa
, F. M. d.
, 1996, “Modelling of Effective Properties of Highly Loaded 0-3 Piezocomposites,”
Proceedings of IEEE 1996 Ultrasonics Symposium
, IEEE
, New York
.10.
Huang
, C.
, Zhang
, Q. M.
, deBotton
, G.
, and Bhattacharya
, K.
, 2004, “All-Organic Dielectric-Percolative Three-Component Composite Materials With High Electromechanical Response,”
Appl. Phys. Lett.
, 84
(22
), pp. 4391
–4393
.11.
Dang
, Z.-M.
, Shen
, Y.
, and Nan
, C.-W.
, 2002, “Dielectric Behavior of Three-Phase Percolative Ni-BaTiO3Õpolyvinylidene Fluoride Composites,”
Appl. Phys. Lett.
, 81
(25
), pp. 4814
–4816
.12.
Choi
, H.-W.
, Heo
, Y.-W.
, Lee
, J.-H.
, Kim
, J.-J.
, Lee
, H.-Y.
, Park
, E.-T.
, and Chung
, Y.-K.
, 2006, “Effects of BaTiO3 on Dielectric Behavior of BaTiO3-Ni-Polymethyl Methacrylate Composites,”
Appl. Phys. Lett.
, 89
(13
), p. 132910
.13.
Qi
, L.
, Lee
, B. I.
, Samuels
, W. D.
, Exarhos
, G. J.
, Sam
, J.
, and Parler
, G.
, 2006, “Three-Phase Percolative Silver-BaTiO3-Epoxy Nanocomposites With High Dielectric Constants,”
J. Appl. Polym. Sci.
, 102
, pp. 967
–971
.14.
Yao
, S.-H.
, Dang
, Z.-M.
, Jiang
, M.-J.
, and Bai
, J.
, 2008, “BaTiO3-Carbon Nanotube/Polyvinylidene Fluoride Three-Phase Composites With High Dielectric Constant and Low Dielectric Loss,”
Appl. Phys. Lett.
, 93
(18
), p. 182905
.15.
Yu
, X.
, and Kwin
, E.
, 2009, “A Carbon Nanotube/Cement Composite With Piezoresistive Properties,”
Smart Mater. Struct.
, 18
(05
), p. 055010
.16.
Dang
, Z.-M.
, Fan
, L.-Z.
, Shen
, Y.
, and Nan
, C.-W.
, 2003, “Dielectric Behavior of Novel Three-Phase MWNTs/BaTiO3/PVDF Composites,”
Mater. Sci. Eng., B
, 103
, pp. 140
–144
.17.
Demir
, I.
, Olson
, A. L.
, Skinner
, J. L.
, Richards
, C. D.
, Richards
, R. F.
, and Bahr
, D. F.
, 2004, “High Strain Behavior of Composite Thin Film Piezoelectric Membranes,”
Microelectron. Eng.
, 75
(1
), pp. 12
–23
.18.
Newnham
, R. E.
, Skinner
, D. P.
, Klicker
, K. A.
, Bhalla
, A. S.
, Hardiman
, B.
, and Gururaja
, T. R.
, 1980, “Ferroelectric Ceramic-Plastic Composites for Piezoelectric and Pyroelectric Applications,”
Ferroelectrics
, 27
(1–4
), pp. 49
–55
.19.
Pilgrim
, S. M.
, and Newnham
, R. E.
, 1986, “3-0- A New Composite Connectivity,”
IEEE Trans. Ultrason. Ferroelectr. Freq. Control
, 33
(6
), pp. 805
–805
.20.
Kerner
, E. H.
, 1956, “The Electrical Conductivity of Composite Media,”
Proc. Phys. Soc. London Sec. B
, 69
, pp. 802
–807
.21.
Bruggeman
, D. A. G.
, 1935, “Berchnung Verschiedener Physikalisher Kanstanten Von Heterogenen Substanzen,”
Ann. Phys. Lpz.
, 24
, p. 635
.22.
Wagner
, K. W.
, 1913, “The Theory of Incomplete Dielectricity,”
Ann. Phys.
, 40
, p. 817
.23.
Poon
, Y. M.
, and Shin
, F. G.
, 2004, “A Smple Explicit Formula for the Effective Dielectric Constant of Binary 0-3 Composites,”
J. Mater. Sci.
, 39
, pp. 1277
–1289
.24.
Jayasundere
, N.
, and Smith
, B. V.
, 1993, “Dielectric Constant for Binary Piezoelectric 0-3 Composites,”
J. Appl. Phys.
, 73
(5
), pp. 2462
–2466
.25.
Voet
, A.
, 1947, “Dielectrics and Rheology of Non-Aqueous Dispersions,”
J. Phys. Chem.
, 51
, p. 1037
.26.
Doyle
, W. T.
, and Jacobs
, I. S.
, 1992, “The Influence of Particle Shape on Dielectric Enhancement in Metal-Insulator Composites,”
J. Appl. Phys.
, 71
(8
), pp. 3926
–3936
.27.
Lal
, K.
, and Parshad
, R.
, 1973, “Permittivity of Conductor-Dielectric Heterogenous Mixtures,”
J. Phys. D
, 6
, pp. 1788
–1792
.28.
Ho
, C. H.
, Poon
, Y. M.
, and Shin
, F. G.
, 2006, “New Explicit Formulas for the Effective Piezoelectric Coefficients of Binary 0-3 Composites,”
J. Electroceram.
, 16
, pp. 283
–288
.29.
O’Konski
, C. T.
, 1960, “Electric Properties of Macromolecules. V. Theory of Ionic Polarization in Polyelectrolytes,”
Physica
, 12
, p. 257
.Copyright © 2011
by American Society of Mechanical Engineers
You do not currently have access to this content.
