Explicit Determination of Piezoelectric Eshelby Tensors for a Spheroidal Inclusion

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In this paper, by systematically treating the integrals involved in the piezoelectric inclusion problem, explicit results were obtained for the piezoelectric Eshelby tensors for a spheroidal inclusion aligned along the axis of the anisotropy in a transversely isotropic piezoelectric material. This problem was first treated by Dunn and Wienecke (1996) using a Green's function approach, which closely follows Withers' approach (1989) for an ellipsoidal inclusion problem in a transversely isotropic elastic medium. The same problem was recently treated by Michelitsch and Levin (2000) also using a Green's function approach. In this paper, a different method was used to obtain the ... continued below

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851 Kilobytes pages

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Mikata, Yozo June 21, 2001.

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  • Lockheed Martin
    Publisher Info: Lockheed Martin Corporation, Schenectady, NY 12301 (United States)
    Place of Publication: Schenectady, New York

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Description

In this paper, by systematically treating the integrals involved in the piezoelectric inclusion problem, explicit results were obtained for the piezoelectric Eshelby tensors for a spheroidal inclusion aligned along the axis of the anisotropy in a transversely isotropic piezoelectric material. This problem was first treated by Dunn and Wienecke (1996) using a Green's function approach, which closely follows Withers' approach (1989) for an ellipsoidal inclusion problem in a transversely isotropic elastic medium. The same problem was recently treated by Michelitsch and Levin (2000) also using a Green's function approach. In this paper, a different method was used to obtain the explicit results for the piezoelectric Eshelby tensors for a spheroidal inclusion. The method is a direct extension of a more unified approach, which has been recently developed by Mikata (2000), which is based on Deeg's results (1980) on a piezoelectric inclusion problem. The main advantage of this method is that it is more straightforward and simpler than Dunn and Wienecke (1996), or Michelitsch and Levin (2000), and the results are a little bit more explicit than their solutions. The key step of this paper is an analytical closed form evaluation of several integrals, which was made possible after a careful treatment of a certain bi-cubic equation.

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851 Kilobytes pages

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OSTI as DE00821311

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  • Other Information: PBD: 21 Jun 2001

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  • Report No.: LM-01K058
  • Grant Number: AC12-00SN39357
  • DOI: 10.2172/821311 | External Link
  • Office of Scientific & Technical Information Report Number: 821311
  • Archival Resource Key: ark:/67531/metadc737198

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  • June 21, 2001

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  • Oct. 18, 2015, 6:40 p.m.

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  • April 28, 2016, 8:44 p.m.

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Mikata, Yozo. Explicit Determination of Piezoelectric Eshelby Tensors for a Spheroidal Inclusion, report, June 21, 2001; Schenectady, New York. (digital.library.unt.edu/ark:/67531/metadc737198/: accessed December 15, 2017), University of North Texas Libraries, Digital Library, digital.library.unt.edu; crediting UNT Libraries Government Documents Department.