A screw dislocation near a non-parabolic open inhomogeneity with internal uniform stresses

Xu Wang; Peter Schiavone

doi:10.1016/j.crme.2019.10.006

A screw dislocation near a non-parabolic open inhomogeneity with internal uniform stresses

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. 12, pp. 967-972.

Résumé

We use conformal mapping techniques and analytic continuation to prove that the stress field inside a non-parabolic open inhomogeneity embedded in a matrix subjected to uniform remote anti-plane stresses can nevertheless remain uniform despite the presence of a screw dislocation in its vicinity. Furthermore, the internal uniform stresses inside the inhomogeneity are found to be independent of both the shape of the inhomogeneity and the presence of the screw dislocation. On the other hand, we find that the existence of the nearby screw dislocation exerts a significant influence on the non-parabolic shape of the inhomogeneity.

Reçu le : 2019-09-21
Accepté le : 2019-10-23
Publié le : 2019-11-06

DOI : 10.1016/j.crme.2019.10.006

Mots clés : Non-parabolic inhomogeneity, Uniform field, Screw dislocation, Anti-plane elasticity, Conformal mapping

Affiliations des auteurs :

Xu Wang ¹ ; Peter Schiavone ²

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     title = {A screw dislocation near a non-parabolic open inhomogeneity with internal uniform stresses},
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Xu Wang; Peter Schiavone. A screw dislocation near a non-parabolic open inhomogeneity with internal uniform stresses. Comptes Rendus. Mécanique, Volume 347 (2019) no. 12, pp. 967-972. doi : 10.1016/j.crme.2019.10.006. https://comptes-rendus.academie-sciences.fr/mecanique/articles/10.1016/j.crme.2019.10.006/

Bibliographie
Cité par

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