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Electromechanical Coupling Factors and Their Anisotropy in Piezoelectric and Ferroelectric Materials

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Modern Piezoelectric Energy-Harvesting Materials

Part of the book series: Springer Series in Materials Science ((SSMATERIALS,volume 238))

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Abstract

The ECF characterises the conversion of electrical energy into the mechanical form and the conversion of mechanical energy into the electric form (see work [1, 2] and Sect. 1.2). A system of the ECFs (see, for example, (1.21)–(1.27) for poled FCs) is introduced to describe the conversion and takes into account the symmetry of a piezoelectric material, orientations of its crystallographic axes, input and output arrangements, etc.

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Notes

  1. 1.

    In our evaluations of ECFs and their anisotropy, we varied the volume fraction m of the SC inclusions from 0 to 0.5. The upper limit m = π/6 at the regular arrangement of spherical inclusions (ρ = 1 in the composite structure shown in Fig. 2.7) whose centres form a simple cubic lattice. We add that in the case of ρ = 0 (1–3 composite with cylindrical rods), the upper limit is m = π/4.

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Authors and Affiliations

  1. Department of Mechanical Engineering, Materials Research Centre, University of Bath, Bath, Somerset, UK

    Christopher R. Bowen

  2. Department of Physics, Southern Federal University, Rostov-on-Don, Russia

    Vitaly Yu. Topolov

  3. Department of Mechanical Engineering, University of Bath, Bath, Somerset, UK

    Hyunsun Alicia Kim

  4. Structural Engineering Department, University of California San Diego, San Diego, CA, USA

    Hyunsun Alicia Kim

Authors
  1. Christopher R. Bowen
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  2. Vitaly Yu. Topolov
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  3. Hyunsun Alicia Kim
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Correspondence to Christopher R. Bowen .

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Bowen, C.R., Topolov, V.Y., Kim, H.A. (2016). Electromechanical Coupling Factors and Their Anisotropy in Piezoelectric and Ferroelectric Materials. In: Modern Piezoelectric Energy-Harvesting Materials. Springer Series in Materials Science, vol 238. Springer, Cham. https://doi.org/10.1007/978-3-319-29143-7_2

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  • DOI: https://doi.org/10.1007/978-3-319-29143-7_2

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