Micromechanics of ferroelectric polymer-based electrostrictive composites

Journal of the Mechanics and Physics of Solids

Volumn 52, Issue 3, 2004, Pages 591-615

  Li, JiangYu ^a   Rao, Nagadip ^a  

^a UNIVERSITY OF NEBRASKA LINCOLN   (United States)

Author keywords

Electrostriction; Electrostrictive composite; Micromechanics; P(VDF TrFE) polymer

Indexed keywords

ALGORITHMS; COMPOSITE MICROMECHANICS; ELASTIC MODULI; ELECTROSTRICTION; MATRIX ALGEBRA; MICROSTRUCTURE; PERMITTIVITY; POLARIZATION; POLYMERS;

ELECTROSTRICTIVE COMPOSITES; POLYMER MATRIX;

FERROELECTRIC MATERIALS;

EID: 1642400054     PISSN: 00225096     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0022-5096(03)00117-0     Document Type: Article

References (41)

1. Aboudi J. Micromechanical prediction of the effective coefficients of thermo-piezoelectric multiphase composites. J. Intel. Mat. Syst. Struct. 9:1998;713-722.
2. Avellaneda M., Swart P.J. Calculating the performance of 1-3 piezoelectric composites for hydrophone applications. an effective medium approach J. Acoust. Soc. Amer. 103:1998;1449-1467.
3. Bai Y., Cheng Z.Y., Bharti V., Xu H.S., Zhang Q.M. High-dielectric-constant ceramic-powder polymer composites. Appl. Phys. Lett. 76:2000;3804-3806.
4. Benveniste Y. A new approach to the application of Mori-Tanaka's theory in composite materials. Mech. Mater. 6:1987;147-157.
5. Benveniste Y. Exact results in the micromechanics of fibrous piezoelectric composites exhibiting pyroelectricity. Proc. R. Soc. London A. 441:1993;59-81.
6. Benveniste Y., Dvorak G.J. Uniform-fields and universal relations in piezoelectric composites. J. Mech. Phys. Solids. 40:1992;1295-1312.
7. Benveniste Y., Dvorak G.J., Chen T. On diagonal and elastic symmetry of the approximate effective stiffness tensor of heterogeneous media. J. Mech. Phys. Solids. 39:1991;927-946.
8. Bharti V., Cheng Z.Y., Gross S., Xu T.B., Zhang Q.M. High electrostrictive strain under high mechanical stress in electron-irradiated poly(vinylidene fluoride-trifluoroethylene) copolymer. Appl. Phys. Lett. 75:1999;2653-2655.
9. Bisegna P., Luciano R. Variational bounds for the overall properties of piezoelectric composites. J. Mech. Phys. Solids. 44:1996;583-602.
10. Chen T.Y. Piezoelectric properties of multiphase fibrous composites - Some theoretical results. J. Mech. Phys. Solids. 41:1993;1781-1794.
11. Cheng Z.Y., Bharti V., Xu T.B., Wang S.X., Zhang Q.M., Ramotowski T., Tito F., Ting R. Transverse strain responses in electrostrictive poly(vinylidene fluoride-trifluoroethylene) films and development of a dilatometer for the measurement. J. Appl. Phys. 86:1999;2208-2214.
12. Dunn M.L., Taya M. Micromechanics predictions of the effective elctroselastic moduli of piezoelectric composites. Int. J. Solids Struct. 30:1993;161-175.
13. Dunn M.L., Taya M. An analysis of piezoelectric composite materials containing ellipsoidal inhomogeneities. Proc. R. Soc. London A. 443:1993;265-287.
14. Dvorak G.J. On uniform-fields in heterogeneous media. P. R. Soc. London A. 431:1990;89-110.
15. Eshelby J.D. The determination of the elastic field of an ellipsoidal inclusion and related problem. Proc. R. Soc. London A. 241:1957;376-396.
16. Fang D.N., Jiang B., Hwang K.C. A model for predicting effective properties of piezocomposites with non-piezoelectric inclusions. J. Elasticity. 62:2001;95-118.
17. Gevorgian S., Carlsson E., Wikborg E., Kollberg E. Tunable microwave devices based on bulk and thin film ferroelectrics. Integ. Ferroelectrics. 22:1998;765-777.
18. Guinovart-Diaz R., Bravo-Castillero J., Rodriguez-Ramos R., Sabina F.J. Closed-form expressions for the effective coefficients of a fibre-reinforced composite with transversely isotropic constituents. II. piezoelectric and hexagonal symmetry J. Mech. Phys. Solids. 49:2001;1463-1479.
19. Hom C.L., Pilgrim S.M., Shankar N., Bridger K., Massuda M., Winzer S.R. Calculation of quasi-static electromechanical coupling-coefficients for electrostrictive ceramic materials. IEEE T Ultrason. Ferr. 41:1994;542-551.
20. Hori M., Nemat-Nasser S. Universal bounds for effective piezoelectric moduli. Mech. Mater. 30:1998;1-19.
21. Levin V.M. On the coefficients of thermal expansion of heterogeneous materials. Mekh. Tverdogo Tela. 88-94:1967.
22. Li J.Y. On micromechanics approximation for the effective thermoelastic moduli of multi-phase composite. Mech. Mater. 31:1999;149-159.
23. Li J.Y. The effective electroelastic moduli of textured piezoelectric polycrystalline aggregates. J. Mech. Phys. Solids. 48:2000;529-552.
24. Li, J.Y., 2003. Exchange coupling in P(VDF-TrFE) copolymer based all-organic composites with giant electrostriction, Phys. Rev. Lett. 90 (article number 217601).
25. Li J.Y., Rao N. Dramatically enhanced effective electrostriction in ferroelectric polymeric composites. Appl. Phys. Lett. 81:2002;1860-1862.
26. Mori T., Tanaka K. Average stress in matrix and average elastic energy of materials with misfitting inclusions. Acta Metall. 21:1973;571-574.
27. Mura T. Micromechanics of Defects in Solids. 2nd Edition:1987;Martinus Nijhoff, The Netherlands.
28. Nan C.W., Weng G.J. Theoretical approach to effective electrostriction in inhomogeneous materials. Phys. Rev. B. 61:2000;258-265.
29. Nemat-Nasser S., Hori M. Micromechanics: Overall Properties of Heterogeneous Materials. 1993;Elsevier, New York.
30. Newnham R.E., Sundar V., Yimnirun R., Su J., Zhang Q.M. Electrostriction. nonlinear electromechanical coupling in solid dielectrics J. Phys. Chem. B. 101:1997;10141-10150.
31. Ponte Castañeda P. Exact second-order estimates for the effective mechanical properties of nonlinear composite materials. J. Mech. Phys. Solids. 44:1996;827-862.
32. Ponte Castañeda P., Suquet P. Nonlinear composites. Adv. Appl. Mech. 34:1998;171-302.
33. Qin Q.H., Yu S.W. Effective moduli of piezoelectric material with microcavities. Int. J. Solids Struct. 35:1998;5085-5095.
34. Sundar V., Newnham R.E. Electrostriction and polarization. Ferroelectrics. 135:1992;431-446.
35. Talbot D.R.S., Willis J.R. Variatonal principles for inhomogeneous non-linear media. IMA J. Appl. Math. 35:1985;39-54.
36. Talbot D.R.S., Willis J.R. Three-point bounds for the overall properties of a nonlinear composite dielectric. IMA J. Appl. Math. 57:1996;41-52.
37. Tan P., Tong L. Micromechanics models for non-linear behavior of piezo-electric fiber reinforced composite materials. Int. J. Solids. Struct. 38:2001;8999-9032.
38. Willis J.R. On methods for bounding the overall properties of nonlinear composites. J. Mech. Phys. Solids. 39:1991;73-86.
39. Xu H.S., Cheng Z.Y., Olson D., Mai T., Zhang Q.M., Kavarnos G. Ferroelectric and electromechanical properties of poly(vinylidene-fluoride-trifluoroethylene-chlorotrifluoroethylene) terpolymer. Appl. Phys. Lett. 78:2001;2360-2362.
40. Zhang Q.M., Bharti V., Zhao X. Giant electrostriction and relaxor ferroelectric behavior in electron-irradiated poly(vinylidene fluoride-trifluoroethylene) copolymer. Science. 280:1998;2101-2104.
41. Zhang Q.M., Li H.F., Poh M., Xia F., Cheng Z.Y., Xu H.S., Huang C. An all-organic composite actuator material with a high dielectric constant. Nature. 419:2002;284-287.