3D elastic neutral inclusions with imperfect interfaces

Qi-Chang He

doi:10.1016/S1631-0721(02)01520-6

3D elastic neutral inclusions with imperfect interfaces
[Inclusions élastiques neutres 3D avec interfaces imparfaites]

Qi-Chang He ¹

¹ Laboratoire de mécanique, Université de Marne-la-Vallée, 2, rue A. Einstein, 77420 Champs sur Marne, France

Comptes Rendus. Mécanique, Volume 330 (2002) no. 10, pp. 691-696.

Résumé
Abstract

En utilisant une loi de comportement physiquement fondée pour des interfaces imparfaites, ce travail traite le problème d'obtention d'une inclusion élastique insérée dans une matrice élastique soumise à un champ de contraintes uniforme, et préservant ce champ de contraintes. Des conditions nécessaires et suffisantes pour l'existence d'une telle inclusion élastique neutre 3D sont établies. Quand les matériaux constituant la matrice et l'inclusion sont isotropes, ces conditions sont d'abord explicitées et ensuite illustrées par deux exemples simples.

Using a physically-based constitutive law for imperfect interfaces, this work deals with the problem of embedding a three-dimensional elastic inclusion in a uniformly stressed elastic matrix without changing the initial stress field of the latter. Necessary and sufficient conditions are deduced for the existence of such a neutral inclusion. When the constituent materials of the matrix and inclusion are isotropic, these conditions are firstly specified and then illustrated by two simple examples.

Reçu le : 2002-07-26
Accepté le : 2002-08-27
Publié le : 2002-10-01

DOI : 10.1016/S1631-0721(02)01520-6

Keywords: analytical mechanics, inhomogeneities, neutral inclusions, interfaces, three-dimensional elasticity
Mots-clés : mécanique analytique, hétérogénéités, inclusions neutres, interfaces, élasticité tridimensionnelle

Affiliations des auteurs :

Qi-Chang He ¹

¹ Laboratoire de mécanique, Université de Marne-la-Vallée, 2, rue A. Einstein, 77420 Champs sur Marne, France

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     author = {Qi-Chang He},
     title = {3D elastic neutral inclusions with imperfect interfaces},
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     pages = {691--696},
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     language = {en},
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Qi-Chang He. 3D elastic neutral inclusions with imperfect interfaces. Comptes Rendus. Mécanique, Volume 330 (2002) no. 10, pp. 691-696. doi : 10.1016/S1631-0721(02)01520-6. https://comptes-rendus.academie-sciences.fr/mecanique/articles/10.1016/S1631-0721(02)01520-6/

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