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Two parallel penny-shaped or annular cracks in a functionally graded piezoelectric strip under electric loading

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Abstract

In this paper, the mixed-mode fracture problem of a functionally graded piezoelectric material strip with two penny-shaped or annular cracks is considered. It is assumed that the electroelastic properties of the strip vary continuously along the thickness of the strip, and that the strip is under electric loading. The problem is formulated in terms of a system of singular integral equations, which are solved numerically. Numerical calculations are carried out, and the stress and electric displacement intensity factors are presented for various values of dimensionless parameters representing the crack size, the crack location, and the material nonhomogeneity.

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Authors and Affiliations

  1. Department of Mechanical Engineering, Osaka Institute of Technology, 5-16-1, Omiya, Asahi-ku, Osaka, 535-8585, Japan

    Sei Ueda & Toru Iogawa

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  1. Sei Ueda
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  2. Toru Iogawa
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Correspondence to Sei Ueda.

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Ueda, S., Iogawa, T. Two parallel penny-shaped or annular cracks in a functionally graded piezoelectric strip under electric loading. Acta Mech 210, 57–70 (2010). https://doi.org/10.1007/s00707-009-0184-1

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  • DOI: https://doi.org/10.1007/s00707-009-0184-1

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