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.

Accepted:

Published online:

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

@article{CRMECA_2017__345_12_922_0, author = {Xu Wang and Peter Schiavone}, title = {Harmonic elastic inclusions in the presence of point moment}, journal = {Comptes Rendus. M\'ecanique}, pages = {922--929}, publisher = {Elsevier}, volume = {345}, number = {12}, year = {2017}, doi = {10.1016/j.crme.2017.10.002}, language = {en}, }

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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