Piezoelectric Coefficients \(\user2{e}_{\user2{ij}}^{*}\) and \(\user2{d}_{\user2{ij}}^{*}\): Combination of Properties at Specific Microgeometry

  • Vitaly Yu. TopolovEmail author
  • Christopher R. Bowen
  • Paolo Bisegna
Part of the Springer Series in Materials Science book series (SSMATERIALS, volume 271)


Piezoelectric coefficients eij are used to describe a link between an external mechanical strain and a piezoelectric polarisation caused by the direct piezoelectric effect. The piezoelectric coefficients eij are of importance to analyse a link between a mechanical stress and an external electric field at the converse piezoelectric effect. Examples of the piezoelectric sensitivity of composites with various connectivity patterns are discussed in terms of the effective piezoelectric coefficients \(e_{ij}^{*}\) and relations between the piezoelectric coefficients \(e_{ij}^{*}\) and \(d_{ij}^{*}\). Of specific interest are a non-monotonic behaviour of \(e_{ij}^{*}\), large values of \(| {e_{ij}^{*} } |\) and considerable anisotropy of \(e_{3j}^{*}\) as well as their links to the microgeometry and properties of components.


Piezoelectric Coefficient Longitudinal Piezoelectric Effect Wide Volume-fraction Range Matrix Laminates combinationCombination 
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© Springer International Publishing AG, part of Springer Nature 2018

Authors and Affiliations

  • Vitaly Yu. Topolov
    • 1
    Email author
  • Christopher R. Bowen
    • 2
  • Paolo Bisegna
    • 3
  1. 1.Department of PhysicsSouthern Federal UniversityRostov-on-DonRussia
  2. 2.Department of Mechanical EngineeringUniversity of BathBathUK
  3. 3.Department of Civil EngineeringUniversity of Rome Tor VergataRomeItaly

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