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Periodic Set of the Interface Cracks with Limited Electric Permeability

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IUTAM Symposium on Multiscale Modelling of Fatigue, Damage and Fracture in Smart Materials

Part of the book series: IUTAM Bookseries ((IUTAMBOOK,volume 24))

Abstract

Plane problem for an infinite space which consists of two different piezoelectric materials with periodic set of the limited electrically permeable interface cracks is considered. Uniformly distributed electromechanical loading is applied. The solution of the problem is obtained in close form by use of complex function theory. Formulae for stresses, electric displacement vector, elastic displacements and electric potential jump at the interface as well as the intensity factors at the crack tips are given. The main attention is paid to the influence of electric permeability of the cracks on electromechanical fields in the composite. As a particular case the periodic set of limited permeable cracks in a homogeneous piezoelectric material is studied.

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Authors and Affiliations

  1. Department of Theoretical and Applied Mechanics, Dniepropetrovsk National University, Gagarina 72, Dniepropetrovsk, 49010, Ukraine

    V. V. Loboda & S. V. Kozinov

Authors
  1. V. V. Loboda
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  2. S. V. Kozinov
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Corresponding author

Correspondence to V. V. Loboda .

Editor information

Editors and Affiliations

  1. Inst. Mechanik und Fluiddynamik, TU Bergakademie Freiberg, Lampadiusstr. 4, Freiberg, 09596, Germany

    Meinhard Kuna

  2. Inst. Mechanik, Universität Kassel, Mönchebergstr. 7, Kassel, 34109, Germany

    Andreas Ricoeur

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Loboda, V.V., Kozinov, S.V. (2011). Periodic Set of the Interface Cracks with Limited Electric Permeability. In: Kuna, M., Ricoeur, A. (eds) IUTAM Symposium on Multiscale Modelling of Fatigue, Damage and Fracture in Smart Materials. IUTAM Bookseries, vol 24. Springer, Dordrecht. https://doi.org/10.1007/978-90-481-9887-0_17

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  • DOI: https://doi.org/10.1007/978-90-481-9887-0_17

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  • Publisher Name: Springer, Dordrecht

  • Print ISBN: 978-90-481-9886-3

  • Online ISBN: 978-90-481-9887-0

  • eBook Packages: EngineeringEngineering (R0)

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