Abstract
The appearance of an electric polarisation in quartz single crystals that were subjected to a mechanical load was first reported by brothers P. Curie and J. Curie in experimental work in 1880 [1]. The effect that links a mechanical action (stress or strain) with an electric response (electric field, displacement or polarisation) is called the piezoelectric effect or, more exactly, the direct piezoelectric effect. At a later date, it was experimentally established that the converse piezoelectric effect is also observed in acentric single crystals in that an external electric field generates a mechanical response, i.e., a stress or strain of the sample [2, 3], similar to the electrostriction of dielectrics [3, 4].
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References
Levanyuk AP, Sannikov DG, (1994) Piezoelectrics. In: Prokhorov AM (ed.) Physics Encyclopaedia. Vol. 4. Bolshaya Rossiyskaya Entsiklopedia, Moscow (in Russian), pp 188–189
Ikeda T, (1990) Fundamentals of Piezoelectricity. Oxford University Press, Oxford New York Toronto
Zheludev IS, (1971) Physics of Crystalline Dielectrics. Vol. 2: Electrical Properties. Plenum, New York
Uchino K, (1997) Piezoelectric Actuators and Ultrasonic Motors. Kluwer, Boston Dordrecht London
Khoroshun LP, Maslov BP, Leshchenko PV, (1989) Prediction of Effective Properties of Piezo-active Composite Materials. Naukova Dumka, Kiev (in Russian)
Berlincourt DA, Cerran DR, Jaffe H, (1964) Piezoelectric and piezomagnetic materials and their function in transducers. In: Mason W (ed.) Physical Acoustics. Principles and Methods. Vol. 1: Methods and Devices. Pt A. Academic Press, New York London, pp 169–270
Hall DA, (2001) Review. Nonlinearity in piezoelectric ceramics. Journal of Materials Science 36:4575–4601
Turik AV, Bondarenko EI, (1974) Effect of domain structure on physical properties of ferroelectrics. Ferroelectrics 7:303–305
Turik AV, (1970) Elastic, piezoelectric, and dielectric properties of single crystals of BaTiO3 with a laminar domain structure. Soviet Physics – Solid State 12:688–693
Turik AV, Topolov VYu, Aleshin VI (2000) On a correlation between remanent polarization and piezoelectric coefficients of perovskite-type ferroelectric ceramics. Journal of Physics D: Applied Physics 33:738–743
Aleshin VI, (1990) Domain-orientation contribution into constants of ferroelectric polydomain single crystal. Zhurnal Tekhnicheskoi Fiziki 60:179–183 (in Russian)
Topolov VYu, (2003) Domain wall displacements and piezoelectric activity of KNbO3 single crystals. Journal of Physics: Condensed Matter 15:561–565
Turik AV, Chernobabov AI, (1977) On an orientation contribution in dielectric, piezoelectric and elastic constants of ferroelectric ceramics. Zhurnal Tekhnicheskoi Fiziki 47:1944–1948 (in Russian)
Aleshin VI, (1991) Spherical inclusion in an anisotropic piezo-active medium. Kristallografiya 36:1352–1357 (in Russian)
Topolov VYu, Bondarenko EI, Turik AV, Chernobabov AI (1993) The effect of domain structure on electromechanical properties of PbTiO3-based ferroelectrics. Ferroelectrics 140:175–181
Aleshin VI, (1987) Properties of textures being formed on the basis of non-180 reorientations. Kristallografiya 32:422–426 (in Russian)
Bondarenko EI, Topolov VYu, Turik AV, (1990) The effect of 90° domain wall displacements on piezoelectric and dielectric constants of perovskite ceramics. Ferroelectrics 110:53–56
Bondarenko EI, Topolov VYu, Turik AV, (1991) The role of 90° domain wall displacements in forming physical properties of perovskite ferroelectric ceramics. Ferroelectrics. Letters Section 13:13–19
Turik AV, Topolov VYu, (1997) Ferroelectric ceramics with a large piezoelectric anisotropy. Journal of Physics D: Applied Physics 30:1541–1549
Topolov VYu, Turik AV, Chernobabov AI, (1994) On the mechanism of high piezoelectric anisotropy in lead titanate-based ferroelectrics. Crystallography Reports 39:805–809
Rödel J, Kreher WS, (2000) Self-consistent modeling of non-linear effective properties of polycrystalline ferroelectric ceramics. Computational Materials Science 19:123–132
Rödel J, Kreher WS, (2003) Modeling of linear and nonlinear behavior of polycrystalline ferroelectric ceramics. Journal of the European Ceramic Society 23:2297–2306
Ruschmeyer K, Helke G, Koch J, Lubitz K, Möckl T, Petersen A, Riedel M, Schönecker A, (1995) Piezokeramik: Grundlagen, Werkstoffe, Applikationen. Expert- Verlag, Renningen-Malmsheim
Algueró M, Alemany C, Pardo L, González AM, (2004) Method for obtaining the full set of linear electric, mechanical and electromechanical coefficients and all related losses of a piezoelectric ceramic. Journal of the American Ceramic Society 87:209–215
Dantsiger AYa, Razumovskaya ON, Reznitchenko LA, Grineva LD, Devlikanova RU, Dudkina SI, Gavrilyatchenko SV, Dergunova NV, Klevtsov AN, (1994) Highly Effective Piezoceramic Materials (Handbook). Kniga, Rostov-on-Don (in Russian)
Gorish AV, Dudkevich VP, Kupriyanov MF, Panich AE, Turik AV, (1999) Piezoelectric Device-making. Vol. 1: Physics of Ferroelectric Ceramics. Radiotekhnika, Moscow (in Russian)
Haertling G, (1999) Ferroelectric ceramics: history and technology. Journal of the American Ceramic Society 82:797–818
Bechmann R, (1956) Elastic, piezoelectric, and dielectric constants of polarized barium titanate ceramics and some applications of the piezoelectric equations. Journal of the Acoustical Society of America 28:347–350
Jaffe B, Cook WR, Jaffe H, (1971) Piezoelectric Ceramics. Academic Press, London New York
Ikegami S, Ueda I, Nagata T, (1971) Electromechanical properties of PbTiO3 ceramics containing La and Mn. Journal of the Acoustical Society of America 50:1060–1066
Nagatsuma K, Ito Y, Jyomura S, Takeuchi H, Ashida S, (1985) Elastic properties of modified PbTiO3 ceramics with zero temperature coefficients. In: Taylor GW (ed.) Ferroelectricity and Related Phenomena. Vol. 4: Piezoelectricity. Gordon and Breach Science Publishers, New York London Paris Montreux Tokyo, pp 167–176
Nelli Silva EC, Ono Fonseca JS, Kikuchi N, (1997) Optimal design of piezoelectric microstructures. Computational Mechanics 19:397–410
Levassort F, Lethiecq M, Certon D, Patat F, (1997) A matrix method for modeling electroelastic moduli of 0–3 piezo-composites. IEEE Transactions on Ultrasonics, Ferroelectrics, and Frequency Control 44:445–452
Zhang R, Jiang W, Jiang B, Cao W, (2002) Elastic, dielectric and piezoelectric coefficients of domain engineered 0.70Pb(Mg1/3Nb2/3)O3 – 0.30PbTiO3 single crystal. In: Cohen RE (ed.) Fundamental Physics of Ferroelectrics. American Institute of Physics, Melville, pp 188–197
Peng J, Luo H, He T, Xu H, Lin D, (2005) Elastic, dielectric, and piezoelectric characterization of 0.70Pb(Mg1/3Nb2/3)O3 – 0.30PbTiO3 single crystal. Materials Letters 59:640–643
Zhang R, Jiang B, Cao W, (2001) Elastic, piezoelectric, and dielectric properties of multidomain 0.67Pb(Mg1/3Nb2/3)O3 – 0.33PbTiO3 single crystals. Journal of Applied Physics 90:3471–3475
Cao H, Luo H, (2002) Elastic, piezoelectric and dielectric properties of Pb(Mg1/3Nb2/3)O3 – 38% PbTiO3 single crystal. Ferroelectrics 274:309–315
Cao H, Schmidt VH, Zhang R, Cao W, Luo H, (2004) Elastic, piezoelectric, and dielectric properties of 0.58Pb(Mg1/3Nb2/3)O3 – 0.42PbTiO3 single crystal. Journal of Applied Physics 96:549–554
Yin J, Jiang B, Cao W, (2000) Elastic, piezoelectric, and dielectric properties of 0.955 Pb(Zn1/3Nb2/3)O3 – 0.045PbTiO3 single crystals. IEEE Transactions on Ultrasonics, Ferroelectrics, and Frequency Control 47:285–291
Zhang R, Jiang B, Cao W, Amin A, (2002) Complete set of material constants of 0.93Pb(Zn1/3Nb2/3)O3 – 0.07PbTiO3 domain engineered single crystal. Journal of Materials Science Letters 21:1877–1879
Jiang W, Zhang R, Jiang B, Cao W, (2003) Characterization of piezoelectric materials with large piezoelectric and electromechanical coupling coefficients. Ultrasonics 41:55–63
Yin J, Jiang B, Cao W, (1999) Determination of elastic, piezoelectric and dielectric properties of Pb(Zn1/3Nb2/3)O3 – PbTiO3 single crystals. SPIE Conference on Ultrasonic Transducer Engineering. San Diego, California, February 1999. SPIE 3664:239–246
Ritter T, Geng X, Shung KK, Lopath PD, Park S-E, Shrout TR, (2000) Single crystal PZN/PT – polymer composites for ultrasound transducer applications. IEEE Transactions on Ultrasonics, Ferroelectrics, and Frequency Control 47:792–800
Ye Z-G, Topolov VYu, (2001) Complex domain and heterophase structures in (1 – x)Pb(Mg1/3Nb2/3)O3 – xPbTiO3 single crystals. Ferroelectrics 253:79–86
Topolov VYu, (2002) Intermediate monoclinic phase and elastic matching in perovskite-type solid solutions. Physical Review B 65:094207 – 6 p
Topolov VYu, Turik AV, (2002) An intermediate monoclinic phase and electromechanical interactions in xPbTiO3 – (1 – x)Pb(Zn1/3Nb2/3)O3 crystals. Solid State Physics 44:1355–1362
Aleshin VI, Luchaninov AG, (2001) Influence of mobility of the 90 domain walls on the effective properties of PbTiO3 ceramics. Journal of Physics D: Applied Physics 34:2353–2358
Gururaja TR, Safari A, Newnham RE, Cross LE, (1988) Piezoelectric ceramicpolymer composites for transducer applications. In: Levinson LM (ed.) Electronic Ceramics: Properties, Devices, and Applications. Marcel Dekker, New York Basel, pp 92–128
Newnham RE, (1994) Nonmechanical properties of composites. In: Kelly A, Cahn RW, Bever MB (eds.) Concise Encyclopedia of Composite Materials. Elsevier, Oxford, pp 214–220
Pardo L, Mendiola J, Alemany C, (1988) Theoretical treatment of ferroelectric composites using Monte Carlo calculations. Journal of Applied Physics 64:5092–5097
Chan HLW, Unsworth J, (1989) Simple model for piezoelectric ceramic / polymer 1–3 composites used in ultrasonic transducer applications. IEEE Transactions on Ultrasonics, Ferroelectrics, and Frequency Control 36:434–441
Grekov AA, Kramarov SO, Kuprienko AA, (1989) Effective properties of a transversely isotropic piezoelectric composite with cylindrical inclusions. Mechanics of Composite Materials, 25:54–61
Levin VM, Rakovskaja MI, Kreher WS, (1999) The effective thermoelectroelastic properties of microinhomogeneous materials. International Journal of Solids and Structures 36:2683–2705
Jensen H, (1991) Determination of macroscopic electro-mechanical characteristics of 1–3 piezoceramic / polymer composites by a concentric tube model. IEEE Transactions on Ultrasonics, Ferroelectrics, and Frequency Control 38:591–594
Uchino K, (2000) Ferroelectric Devices. Marcell Dekker, New York
Nan C-W, Lin Y, (2002) Microstructure – property linkages in multi-phase electroceramics. Key Engineering Materials 228–229:37–42
Turik AV, Radchenko GS, (2002) Maxwell–Wagner relaxation in piezoactive media. Journal of Physics D: Applied Physics 35:1188–1192
Radchenko GS, Turik AV, (2003) Giant piezoelectric effect in layered ferroelectric - polymer composites. Physics of the Solid State 45:1759–1762
Turik AV, Chernobabov AI, Radchenko GS, Turik SA, (2004) Giant piezoelectric and dielectric enhancement in disordered heterogeneous systems. Physics of the Solid State 46:2213–2216
Sokolkin YuV, Pan’kov AA, (2003) Electroelasticity of Piezo-composites with Irregular Structures. Fizmatlit, Moscow (in Russian)
Luchaninov AG, (2002) Piezoelectric Effect in Non-polar Heterogeneous Ferroelectric Materials. Volgograd State Academy of Architecture and Construction, Volgograd (in Russian)
Levin VM, (1995) The overall properties of piezoactive matrix composite materials. In: Markov KZ (ed.) Continuum Models and Discrete Systems: Proceedings of the 8th International Symposium, June 11–16, 1995, Varna, Bulgaria. World Scientific, Singapoure, pp 225–232
Berger H, Kari S, Gabbert U, RodrÃguez-Ramos R, Bravo-Castillero J, Guinovart- DÃaz R, (2005) A comprehensive numerical homogenization technique for calculating effective coefficients of uniaxial piezoelectric fibre composites. Materials Science and Engineering A 412:53–60
Akcakaya E, Farnell GW, (1988) Effective elastic and piezoelectric constants of superlattices. Journal of Applied Physics 64:4469–4473
Grekov AA, Kramarov SO, Kuprienko AA, (1987) Anomalous behavior of the twophase lamellar piezoelectric texture. Ferroelectrics 76:43–48
Christensen RM, (1979) Mechanics of Composite Materials. Wiley, New York
Telega JJ, (1990) Piezoelectricity and homogenization. Application to biomechanics. In: Continuum Models and Discrete Systems. Vol. 2. Longman, London, pp 220–230
Agbossou A, Viet HN, Pastor J, (1999) Homogenization techniques and application to piezoelectric composite materials. International Journal of Applied Electromagnetics and Mechanics 10:391–403
Banno H, (1983) Recent development of piezoelectric ceramic products and composite of synthetic rubber and piezoelectric ceramic particle. Ferroelectrics 50:3–12
Ramesh R, Cara H, Bowen C R, (2004) Characteristics of piezoceramic and 3–3 piezocomposite hydrophones evaluated by finite element modelling. Computational Materials Science 30:397–403
Akdogan EK, Allahverdi M, Safari A, (2005) Piezoelectric composites for sensor and actuator applications. IEEE Transactions on Ultrasonics, Ferroelectrics, and Frequency Control 52:746–775
Safari A, Akdogan EK, (2006) Rapid prototyping of novel piezoelectric composites. Ferroelectrics 331:153–179
Furukawa T, Ishida K, Fukada E, (1979) Piezoelectric properties in the composite systems of polymers and PZT ceramics. Journal of Applied Physics 50:4904–4912
Yamamoto T, Urabe K, Banno H, (1993) BaTiO3 particle-size dependence of ferroelectricity in BaTiO3 / polymer composites. Japanese Journal of Applied Physics. Pt. 1 32:4272–4276
Chan HLW, Ng PKL, Choy CL, (1999) Effect of poling procedure on the properties of lead zirconate titanate / vinylidene fluoride-trifluoroethylene composites. Applied Physics Letters 74:3029–3031
Chan HLW, Cheung MC, Choy CL, (1999) Study on BaTiO3 / P(VDF-TrFE) 0–3 composites. Ferroelectrics 224:113–120
Ng KL, Chan HLW, Choy CL, (2000) Piezoelectric and pyroelectric properties of PZT / P(VDF-TrFE) composites with constituent phases poled in parallel or antiparallel directions. IEEE Transactions on Ultrasonics, Ferroelectrics, and Frequency Control 47:1308–1315
Fang D-N, Soh AK, Li C-Q, Jiang B, (2001) Nonlinear behavior of 0–3 type ferroelectric composites with polymer matrices. Journal of Materials Science 36:5281–5288
Lam KH, Chan HLW, (2005) Piezoelectric and pyroelectric properties of 65PMN–35PT / P(VDF-TrFE) 0–3 composites. Composites Science and Technology 65:1107 –1111
Glushanin SV, Topolov VYu, (2005) A hierarchy of inclusions and electromechanical properties of 0–3 ceramic / polymer composites. Journal of Physics D: Applied Physics 38:2460–2467
Glushanin SV, Topolov VYu, Krivoruchko AV, (2006) Features of piezoelectric properties of 0–3-type ceramic / polymer composites. Materials Chemistry and Physics 97:357–364
Banno H, Saito S, (1983) Piezoelectric and dielectric properties of composites of synthetic rubber and PbTiO3 or PZT. Japanese Journal of Applied Physics 22 (Suppl. 2):67–69
Banno H, (1995) Theoretical equations for dielectric, elastic and piezoelectric constants of diphasic composite changing its connectivity from 3–0 to 0–3 via 3–3. In: Pandey RK, Liu M, Safari A (eds.) ISAF’94: Proceedings of the Ninth IEEE International Symposium on Applications of Ferroelectrics, University Park, PA, USA, August 7–10, 1994. IEEE, Piscataway, pp186–189
Newnham RE, Skinner DP, Cross LE, (1978) Connectivity and piezoelectricpyroelectric composites. Materials Research Bulletin 13:525–536
Hashimoto KY, Yamaguchi M, (1986) Elastic, piezoelectric and dielectric properties of composite materials. In: Proceedings of IEEE Ultrasonic Symposium, Williamsburg, Va, November 17–19, 1986. Vol. 2. New York, pp 697–702.
Levassort F, Lethiecq M, Millar C, Pourcelot L, (1998) Modeling of highly loaded 0–3 piezoelectric composites using a matrix method. IEEE Transactions on Ultrasonics, Ferroelectrics, and Frequency Control 45:1497–1505
Levassort F, Topolov VYu, Lethiecq M, (2000) A comparative study of different methods of evaluating effective electromechanical properties of 0–3 and 1–3 ceramic / polymer composites. Journal of Physics D: Applied Physics 33:2064–2068
Glushanin SV, Topolov VYu, (2001) Features of electromechanical properties of piezoelectric composites with elements of connectivity 1–1. Journal of Physics D: Applied Physics 34:2518–2529
Topolov VYu, Glushanin SV, (2002) Evolution of connectivity patterns and links between interfaces and piezoelectric properties of two-component composites. Journal of Physics D: Applied Physics 35:2008–2014
Benveniste Y, (1992) The determination of the elastic and electric fields in a piezoelectric inhomogeneity. Journal of Applied Physics 72:1086-1095
Wang B, (1992) Three-dimensional analysis of an ellipsoidal inclusion in a piezoelectric material. International Journal ofSolids and Structures 29:293–308
Dunn ML, Taya M, (1993) An analysis of piezoelectric composite materials containing ellipsoidal inhomogeneities. Proceedings of the Royal Society (London), Pt A 443:265–287
Dunn ML, Taya M, (1993) Micromechanics predictions of the effective electroelastic moduli of piezoelectric composites. International Journal of Solids and Structures 30:161–175
Dunn ML, (1993) Micromechanics of coupled electroelastic composites: Effective thermal expansion and pyroelectric coefficients. Journal of Applied Physics 73:5131–5140
Dunn ML, Wienecke HA, (1997) Inclusions and inhomogeneities in transversely isotropic piezoelectric solids. International Journal of Solids and Structures 34:3571–3582
Eshelby J, (1957) The determination of the elastic field of an ellipsoidal inclusion, and related problems. Proceedings of the Royal Society (London), Pt A 241:376–396
Eshelby J, (1959) The elastic field outside an ellipsoidal inclusion. Proceedings of the Royal Society (London), Pt A 252:561–569
Mura T, (1987) Micromechanics of Defects in Solids. 2nd edn. Martins Nijhoff, Dordrecht
Dunn ML, Wienecke HA, Li JY, (1997). Multiple-scale micromechanics of heterogeneous piezoelectric media: defects, ceramics, and composites. In: Inoue K, Shen SIY, Taya M (eds.) Proceedings of the First US – Japan Workshop on Smart Materials and Structures, Warrendale, 1996. The Minerals, Metals & Materials Society, Warrendale, pp 203–215
Wu T-L, (2000) Micromechanics determination of electroelastic properties of piezoelectric materials containing voids. Materials Science and Engineering A280:320–327
Huang JH, Yu S, (1994) Electroelastic Eshelby tensors for an ellipsoidal piezoelectric inclusion. Composites Engineering 4:1169–1182
Mikata Y, (2001) Explicit determination of piezoelectric Eshelby tensors for a spheroidal inclusion. International Journal of Solids and Structures 38:7045–7063
Nan C-W, (1994) Effective-medium theory of piezoelectric composites. Journal of Applied Physics 76:1155–1163
Fakri N, Azrar L, El Bakkali L, (2003) Electroelastic behavior modeling of piezoelectric composite materials containing spatially oriented reinforcements. International Journal of Solids and Structures 40:361–384
Huang JH, Kuo W-S, (1996) Micromechanics determination of the effective properties of piezoelectric composites containing spatially oriented short fibers. Acta Materialia 44:4889–4898
Jiang B, Fang D-N, Hwang K-C, (1999) A unified model for piezocomposites with non-piezoelectric matrix and piezoelectric ellipsoidal inclusions. International Journal of Solids and Structures 36:2707–2733
Mori T, Tanaka K, (1973) Average stress in matrix and average elastic energy of materials with misfitting inclusions. Acta Metallurgica 21:571–574
Topolov VYu, Kamlah M, (2004) Piezoelectric properties of PbTiO3-based 0–3 and 0–1–3 composites. Journal of Physics D: Applied Physics 37:1576–1585
Dunn ML, Taya M, (1993) Electromechanical properties of porous piezoelectric ceramics. Journal of the American Ceramic Society 76:1697–1706
Huang JH, Chiu Y-H, Liu H-K, (1988) Magneto-electro-elastic Eshelby tensors for a piezoelectric-piezomagnetic composite reinforced by ellipsoidal inclusions. Journal of Applied Physics 83:5364–5370
Huang JH, (1998) Analytical predictions for the magnetoelectric coupling in piezoelectric materials reinforced by piezoelectric ellipsoidal inclusions. Physical Review B 58:12–15
Wu T-L, Huang JH, (2000) Closed-form solutions for the magnetoelectric coupling coefficients in fibrous composites with piezoelectric and piezomagnetic phases. International Journal of Solids and Structures 37:2981–3009
Pettermann HE, Suresh S, (2000) A comprehensive unit cell model: a study of coupled effects in piezoelectric 1–3 composites. International Journal of Solids and Structures 37:5447–5464
Bowen CR, Perry A, Stevens R, Mahon S, (2001) Analytical and numerical modelling of 3–3 piezoelectric composites. Integrated Ferroelectrics 32:333–342
Kara H, Perry A, Stevens R, Bowen CR, (2002) Interpenetrating PZT / polymer composites for hydrophones: Models and experiments. Ferroelectrics 265:317–332
Jayasundere N, Smith BV, (1993) Dielectric constant for binary piezoelectric 0–3 composite. Journal of Applied Physics 73:2462–2466
Poizat C, Sester M, (2001) Homogénéisation périodique de composites piézoélectriques 0–3: influence de la distribution. Revue des Composites et des Matériaux Avancés 11:65–74
Kar-Gupta R, Venkatesh TA, (2005) Electromechanical response of 1–3 piezoelectric composites: effect of poling characteristics. Journal of Applied Physics 98:054102 – 14 p
Shuvalov LA, Ourousovskaya AA, Zheludev IS, Zalessky AV, Semiletov SA, Grechushnikov BN, Chistyakov IG, Pikin SA, (1981) Modern Crystallography. Vol. 4: Physical Properties of Crystals. Nauka, Moscow (in Russian)
Topolov VYu, (1995) Anisotropy of electromechanical properties in KNbO3 crystals with S-type domain boundaries. Journal of Physics: Condensed Matter 7:7405–7408
Topolov VYu, Turik AV, (1998) Electromechanical constants and their anisotropy in LiNbO3-type crystals having 180 inclined domain walls. Journal of Physics: Condensed Matter 10:451–459
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(2009). Effective Electromechanical Properties in Piezo-composites. In: Electromechanical Properties in Composite Based on Ferroelectrics. Engineering Materials and Processes. Springer, London. https://doi.org/10.1007/978-1-84882-000-5_2
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