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Explicit Determination of Piezoelectric Eshelby Tensors for a Spheroidal Inclusion.

DE2004821311

Publication Date	2001
Personal Author	Mikata, Y.
Page Count	38
Abstract	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.
Keywords	Spheroidal inclusion Anisotropy Evaluation Piezoelectricity Integrals Piezoelectric inclusion Determination Piezoelectric Eshelby tensors
Source Agency	Technical Information Center Oak Ridge Tennessee
Corporate Authors	Lockheed Martin Electronics Labs., Syracuse, NY.; Department of Energy, Washington, DC.
Supplemental Notes	Sponsored by Department of Energy, Washington, DC.
Document Type	Technical Report
NTIS Issue Number	200419

Explicit Determination of Piezoelectric Eshelby Tensors for a Spheroidal Inclusion.

Explicit Determination of Piezoelectric Eshelby Tensors for a Spheroidal Inclusion.
DE2004821311

Publication Date	2001
Personal Author	Mikata, Y.
Page Count	38
Abstract	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.
Keywords	Spheroidal inclusion Anisotropy Evaluation Piezoelectricity Integrals Piezoelectric inclusion Determination Piezoelectric Eshelby tensors
Source Agency	Technical Information Center Oak Ridge Tennessee
Corporate Authors	Lockheed Martin Electronics Labs., Syracuse, NY.; Department of Energy, Washington, DC.
Supplemental Notes	Sponsored by Department of Energy, Washington, DC.
Document Type	Technical Report
NTIS Issue Number	200419