A screw dislocation near a non-elliptical piezoelectric inhomogeneity with internal uniform electroelastic field

Xu Wang; Peter Schiavone

doi:10.1016/j.crme.2019.08.002

A screw dislocation near a non-elliptical piezoelectric inhomogeneity with internal uniform electroelastic field

Xu Wang ¹ ; Peter Schiavone ²

¹ School of Mechanical and Power Engineering, East China University of Science and Technology, 130 Meilong Road, Shanghai 200237, China
² Department of Mechanical Engineering, University of Alberta, 10-203 Donadeo Innovation Centre for Engineering, Edmonton, Alberta, T6G 1H9, Canada

Comptes Rendus. Mécanique, Volume 347 (2019) no. 10, pp. 734-739.

Résumé

Conformal mapping and analytic continuation are employed to prove the existence of an internal uniform electroelastic field inside a non-elliptical piezoelectric inhomogeneity interacting with a screw dislocation. We focus specifically on the case when the piezoelectric matrix surrounding the inhomogeneity is subjected to uniform remote anti-plane mechanical and in-plane electrical loading and a constraint is imposed between the remote loading and the screw dislocation. The constraint can be expressed in a relatively simple decoupled form by utilizing orthogonality relationships between two corresponding eigenvectors. The internal uniform electroelastic field is found to be independent of the presence of the screw dislocation; moreover, it can be expressed in decoupled form.

Reçu le : 2019-07-04
Accepté le : 2019-08-08
Publié le : 2019-08-26

DOI : 10.1016/j.crme.2019.08.002

Mots clés : Uniform electroelastic field, Piezoelectric inhomogeneity, Screw dislocation, Conformal mapping, Analytic continuation

Affiliations des auteurs :

Xu Wang ¹ ; Peter Schiavone ²

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     author = {Xu Wang and Peter Schiavone},
     title = {A screw dislocation near a non-elliptical piezoelectric inhomogeneity with internal uniform electroelastic field},
     journal = {Comptes Rendus. M\'ecanique},
     pages = {734--739},
     publisher = {Elsevier},
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     year = {2019},
     doi = {10.1016/j.crme.2019.08.002},
     language = {en},
}

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Xu Wang; Peter Schiavone. A screw dislocation near a non-elliptical piezoelectric inhomogeneity with internal uniform electroelastic field. Comptes Rendus. Mécanique, Volume 347 (2019) no. 10, pp. 734-739. doi : 10.1016/j.crme.2019.08.002. https://comptes-rendus.academie-sciences.fr/mecanique/articles/10.1016/j.crme.2019.08.002/

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