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Arc Crack in a Homogeneous Electrostrictive Material

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We consider the problem of determination of the stress-strain state of an elastic electrostrictive plane containing an arc crack and subjected to the action of electric and mechanical forces applied at infinity, which may be arbitrarily oriented relative to the crack axis. This problem is reduced to the problem of linear conjugation for a piecewise analytic function of complex variable. We obtain its exact analytic solution and deduce analytic expressions for the stresses at any point of the medium, crack opening displacements, and the stress intensity factors at the crack tips.

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Authors and Affiliations

  1. Honchar Dnipropetrovs’k National University, Dnipropetrovs’k, Ukraine

    A. J. Hodes & V. V. Loboda

Authors
  1. A. J. Hodes
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  2. V. V. Loboda
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Translated from Matematychni Metody ta Fizyko-Mekhanichni Polya, Vol. 58, No. 1, pp. 92–102, January–March, 2015.

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Hodes, A.J., Loboda, V.V. Arc Crack in a Homogeneous Electrostrictive Material. J Math Sci 222, 114–130 (2017). https://doi.org/10.1007/s10958-017-3286-7

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  • DOI: https://doi.org/10.1007/s10958-017-3286-7

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