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Electroelastic State of a Piezoelectric Half-Space with Holes and Cracks Under an Electric Field

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The two-dimensional problem of electroelasticity for a piezoelectric half-space with cylindrical cavities and plane cracks under a distant electric field is considered. The vector of the electric-field strength at infinity is perpendicular to the flat surface of the half-space, the surface being completely covered by a thin electrode. There is no mechanical load. The solution to the problem is based on the use of generalized complex electroelastic potentials. The boundary conditions on the flat surface of the half-space are satisfied analytically using the Cauchy integrals and, on the surfaces of the holes, numerically using the least squares method. The results of numerical studies for half-spaces with one cavity, two plane cracks, with a cavity, and two cracks are presented.

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Authors and Affiliations

  1. National Technical University of Ukraine “Igor Sikorsky Kyiv Polytechnic Institute”, 37 Peremohy Av, Kyiv, 03056, Ukraine

    K. G. Khoroshev

  2. National Transport University, 1 M. Omelianovych-Pavlenko St, Kyiv, 01010, Ukraine

    Yu. A. Glushchenko

Authors
  1. K. G. Khoroshev
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  2. Yu. A. Glushchenko
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Correspondence to K. G. Khoroshev.

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Translated from Prikladnaya Mekhanika, Vol. 57, No. 4, pp. 122–135, July–August 2021.

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Khoroshev, K.G., Glushchenko, Y.A. Electroelastic State of a Piezoelectric Half-Space with Holes and Cracks Under an Electric Field. Int Appl Mech 57, 477–489 (2021). https://doi.org/10.1007/s10778-021-01099-x

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