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.

Accepted:

Published online:

Xu Wang ^{1};
Peter Schiavone ^{2}

@article{CRMECA_2019__347_10_734_0, 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}, volume = {347}, number = {10}, year = {2019}, doi = {10.1016/j.crme.2019.08.002}, language = {en}, }

TY - JOUR AU - Xu Wang AU - Peter Schiavone TI - A screw dislocation near a non-elliptical piezoelectric inhomogeneity with internal uniform electroelastic field JO - Comptes Rendus. Mécanique PY - 2019 SP - 734 EP - 739 VL - 347 IS - 10 PB - Elsevier DO - 10.1016/j.crme.2019.08.002 LA - en ID - CRMECA_2019__347_10_734_0 ER -

%0 Journal Article %A Xu Wang %A Peter Schiavone %T A screw dislocation near a non-elliptical piezoelectric inhomogeneity with internal uniform electroelastic field %J Comptes Rendus. Mécanique %D 2019 %P 734-739 %V 347 %N 10 %I Elsevier %R 10.1016/j.crme.2019.08.002 %G en %F CRMECA_2019__347_10_734_0

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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