We consider a confocally coated rigid elliptical inclusion, loaded by a couple and introduced into a remote uniform stress field. We show that uniform interfacial and hoop stresses along the inclusion–coating interface can be achieved when the two remote normal stresses and the remote shear stress each satisfy certain conditions. Our analysis indicates that: (i) the uniform interfacial tangential stress depends only on the area of the inclusion and the moment of the couple; (ii) the rigid-body rotation of the rigid inclusion depends only on the area of the inclusion, the coating thickness, the shear moduli of the composite and the moment of the couple; (iii) for given remote normal stresses and material parameters, the coating thickness and the aspect ratio of the inclusion are required to satisfy a particular relationship; (iv) for prescribed remote shear stress, moment and given material parameters, the coating thickness, the size and aspect ratio of the inclusion are also related. Finally, a harmonic rigid inclusion emerges as a special case if the coating and the matrix have identical elastic properties.

Accepted:

Published online:

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

@article{CRMECA_2018__346_6_477_0, author = {Xu Wang and Peter Schiavone}, title = {A coated rigid elliptical inclusion loaded by a couple in the presence of uniform interfacial and hoop stresses}, journal = {Comptes Rendus. M\'ecanique}, pages = {477--481}, publisher = {Elsevier}, volume = {346}, number = {6}, year = {2018}, doi = {10.1016/j.crme.2018.03.005}, language = {en}, }

TY - JOUR AU - Xu Wang AU - Peter Schiavone TI - A coated rigid elliptical inclusion loaded by a couple in the presence of uniform interfacial and hoop stresses JO - Comptes Rendus. Mécanique PY - 2018 SP - 477 EP - 481 VL - 346 IS - 6 PB - Elsevier DO - 10.1016/j.crme.2018.03.005 LA - en ID - CRMECA_2018__346_6_477_0 ER -

Xu Wang; Peter Schiavone. A coated rigid elliptical inclusion loaded by a couple in the presence of uniform interfacial and hoop stresses. Comptes Rendus. Mécanique, Volume 346 (2018) no. 6, pp. 477-481. doi : 10.1016/j.crme.2018.03.005. https://comptes-rendus.academie-sciences.fr/mecanique/articles/10.1016/j.crme.2018.03.005/

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