Abstract
This chapter presents data on the effective electromechanical properties determined by different methods or averaging procedures. It is well known that determining the effective properties of composites offers challenges and difficulties, even in the case of relatively simple two-component piezo-composites with well-defined microgeometry. These difficulties are closely connected with functions that would describe structural inhomogeneities and their spatial distributions [1, 2]. Calculations of the effective electromechanical constants of piezo-composites are based on methods that are approximate and require the internal fields affected by numerous inclusions in a continuous matrix to differ from the electric and elastic fields caused by a single inclusion in the same matrix. Moreover, any deviation from a regular distribution of the inclusions in the matrix influences the effective properties [2]. Methods based on direct averaging of the properties over a macroscopic volume (analytical methods and FEM), methods based on regularisation of structure, stochastic differential equations or virial expansion, as well as a self-consistent method [1–6] are often applied to determine the effective properties of the matrix of piezo-composites.
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References
Khoroshun LP, Maslov BP, Leshchenko PV, (1989) Prediction of Effective Properties of Piezo-active Composite Materials. Naukova Dumka, Kiev (in Russian)
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)
Dunn ML, Taya M, (1993) Micromechanics predictions of the effective electroelastic moduli of piezoelectric composites. International Journal of Solids and Structures 30:161–175
Levin VM, Rakovskaja MI, Kreher WS, (1999) The effective thermoelectroelastic properties of microinhomogeneous materials. International Journal of Solids and Structures 36:2683–2705
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, Yu S, (1994) Electroelastic Eshelby tensors for an ellipsoidal piezoelectric inclusion. Composites Engineering 4:1169–1182
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
Akcakaya E, Farnell GW, (1988) Effective elastic and piezoelectric constants of superlattices. Journal of Applied Physics 64:4469–4473
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
Topolov VYu, Bisegna P, Krivoruchko AV, (2008) Features of electromechanical properties of 1–3 composites based on PbTiO3-type ceramics. Journal of Physics D: Applied Physics 41:035406 – 8 p
Berger H, Kari S, Gabbert U, Rodríguez-Ramos R, Bravo-Castillero J, Guinovart-Díaz R, (2005) A comprehensive numerical homogenization technique for calculating effective coefficients of uniaxial piezoelectric fibre composites. Materials Science and Engineering A 412:53–60
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
Nelli Silva EC, Ono Fonseca JS, Kikuchi N, (1997) Optimal design of piezoelectric microstructures. Computational Mechanics 19:397–410
Avellaneda M, Swart PJ, (1994) The role of matrix porosity and Poisson’s ratio in the design of high-sensitivity piezocomposite transducers. In: Garcia E, Cudney H, Das Gupta A (eds.) Adaptive Structures and Composite Materials: Analysis and Applications. American Society of Mechanical Engineers, New York, AD 45:59–66
Kar-Gupta R, Venkatesh T A, (2007) Electromechanical response of 1–3 piezoelectric composites: An analytical model. Acta Materialia 55:1093–1108
Smith WA, (1993) Modeling 1–3 composite piezoelectrics: hydrostatic response. IEEE Transactions on Ultrasonics, Ferroelectrics, and Frequency Control 40:41–49
Taunaumang H, Guy IL, Chan HLW, (1994) Electromechanical properties of 1–3 piezoelectric ceramic / piezoelectric polymer composites. Journal of Applied Physics 76:484–489
Bisegna P, Luciano R, (1996) Variational bounds for the overall properties of piezoelectric composites. Journal of the Mechanics and Physics of Solids 44:583–602
Bisegna P, Luciano R, (1997) On methods for bounding the overall properties of periodic piezoelectric fibrous composites. Journal of the Mechanics and Physics of Solids 45:1329–1356
Hashin Z, Shtrikman S, (1962) On some variational principles in anisotropic and nonhomogeneous elasticity. Journal of the Mechanics and Physics of Solids 10:335–342
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
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
Bisegna P, (2007) Private communication
Dunn M, Micromechanics of coupled electroelastic composites: Effective thermal expansion and pyroelectric coefficients. Journal of Applied Physics 73:5131–5140
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
Furukawa T, Fujino K, Fukada E, (1976) Electromechanical properties in the composites of epoxy resin and PZT ceramics. Japanese Journal of Applied Physics 15:2119–2129
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(2009). Comparison of Results on Two-component 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_6
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DOI: https://doi.org/10.1007/978-1-84882-000-5_6
Publisher Name: Springer, London
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