A screw dislocation near a coated non-elliptical inhomogeneity with internal uniform stresses

Xu Wang; Liang Chen; Peter Schiavone

doi:10.1016/j.crme.2018.12.003

A screw dislocation near a coated non-elliptical inhomogeneity with internal uniform stresses

Xu Wang ¹ ; Liang Chen 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. 2, pp. 181-190.

Résumé

We consider the anti-plane shear deformation of a three-phase inhomogeneity-coating-matrix composite containing a coated non-elliptical inhomogeneity whose surrounding matrix is subjected to the action of a screw dislocation and uniform remote anti-plane shear stresses. Our objective is to establish conditions under which the inhomogeneity maintains an internal uniform stress field. Our analysis, which is based on a carefully chosen conformal mapping function, clearly indicates that such an internal uniform stress distribution can be achieved independently of the action of the screw dislocation, which influences the shape of the inhomogeneity depending on its proximity to the dislocation. In fact, we find that when the screw dislocation is located far from the coated inhomogeneity, the corresponding material interfaces become two confocal ellipses as reported previously in the literature. A simple criterion for the convergence of the series in the conformal mapping function is established.

Reçu le : 2018-09-21
Accepté le : 2018-12-14
Publié le : 2019-01-22

DOI : 10.1016/j.crme.2018.12.003

Mots clés : Conformal mapping, Complex variable method, Anti-plane elasticity, Coating, Non-elliptical inhomogeneity, Internal uniform stress field

Affiliations des auteurs :

Xu Wang ¹ ; Liang Chen ¹ ; Peter Schiavone ²

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     author = {Xu Wang and Liang Chen and Peter Schiavone},
     title = {A screw dislocation near a coated non-elliptical inhomogeneity with internal uniform stresses},
     journal = {Comptes Rendus. M\'ecanique},
     pages = {181--190},
     publisher = {Elsevier},
     volume = {347},
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     year = {2019},
     doi = {10.1016/j.crme.2018.12.003},
     language = {en},
}

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Xu Wang; Liang Chen; Peter Schiavone. A screw dislocation near a coated non-elliptical inhomogeneity with internal uniform stresses. Comptes Rendus. Mécanique, Volume 347 (2019) no. 2, pp. 181-190. doi : 10.1016/j.crme.2018.12.003. https://comptes-rendus.academie-sciences.fr/mecanique/articles/10.1016/j.crme.2018.12.003/

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