Comptes Rendus
no. 12
Harmonic elastic inclusions in the presence of point moment
Xu Wang1 ; Peter Schiavone2 
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 345 (2017) no. 12, pp. 922-929.

We employ conformal mapping techniques to design harmonic elastic inclusions when the surrounding matrix is simultaneously subjected to remote uniform stresses and a point moment located at an arbitrary position in the matrix. Our analysis indicates that the uniform and hydrostatic stress field inside the inclusion as well as the constant hoop stress along the entire inclusion–matrix interface (on the matrix side) are independent of the action of the point moment. In contrast, the non-elliptical shape of the harmonic inclusion depends on both the remote uniform stresses and the point moment.

Reçu le :
Accepté le :
Publié le :
DOI : 10.1016/j.crme.2017.10.002
Mots clés : Inverse problem, Harmonic elastic inclusion, Conformal mapping function, Point moment
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 
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Xu Wang; Peter Schiavone. Harmonic elastic inclusions in the presence of point moment. Comptes Rendus. Mécanique, Volume 345 (2017) no. 12, pp. 922-929. doi : 10.1016/j.crme.2017.10.002. https://comptes-rendus.academie-sciences.fr/mecanique/articles/10.1016/j.crme.2017.10.002/

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