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
Mot 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

@article{CRMECA_2002__330_10_691_0,
     author = {Qi-Chang He},
     title = {3D elastic neutral inclusions with imperfect interfaces},
     journal = {Comptes Rendus. M\'ecanique},
     pages = {691--696},
     publisher = {Elsevier},
     volume = {330},
     number = {10},
     year = {2002},
     doi = {10.1016/S1631-0721(02)01520-6},
     language = {en},
}

TY  - JOUR
AU  - Qi-Chang He
TI  - 3D elastic neutral inclusions with imperfect interfaces
JO  - Comptes Rendus. Mécanique
PY  - 2002
SP  - 691
EP  - 696
VL  - 330
IS  - 10
PB  - Elsevier
DO  - 10.1016/S1631-0721(02)01520-6
LA  - en
ID  - CRMECA_2002__330_10_691_0
ER  -

%0 Journal Article
%A Qi-Chang He
%T 3D elastic neutral inclusions with imperfect interfaces
%J Comptes Rendus. Mécanique
%D 2002
%P 691-696
%V 330
%N 10
%I Elsevier
%R 10.1016/S1631-0721(02)01520-6
%G en
%F CRMECA_2002__330_10_691_0

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/

Bibliographie
Cité par

[1] E.H. Mansfield Neutral holes in plane sheet-reinforced holes which are elastically equivalent to the uncut sheet, Quart. J. Mech. Appl. Math, Volume 6 (1953), pp. 370-378

[2] C.Q. Ru Interface design of neutral elastic inclusions, Int. J. Solids Structures, Volume 35 (1998), pp. 559-572

[3] Y. Benveniste; T. Miloh Neutral inhomogeneities in conduction phenomena, J. Mech. Phys. Solids, Volume 47 (1999), pp. 1873-1892

[4] Y. Benveniste; T. Chen On the Saint-Venant torsion of composite bars with imperfect interfaces, Proc. Roy. Soc. London Ser. A, Volume 457 (2001), pp. 231-255

[5] W.G. Milton; S.K. Serkov Neutral coated inclusions in conductivity and anti-plane elasticity, Proc. Roy. Soc. London Ser. A, Volume 457 (2001), pp. 1973-1997

[6] T. Chen, Y. Benveniste, P.C. Chuang, Exact solutions in torsion of composite bars: thickly neutral inhomogeneities and composite cylinder assemblages, Proc. Roy. Soc. London Ser. A (2001), to appear

[7] Z. Hashin Thermoelastic properties of particulate composites with imperfect interfaces, J. Mech. Phys. Solids, Volume 39 (1991), pp. 745-762

[8] A. Klarbring Derivation of a model of adhesively bonded by the asymptotic expansion method, Int. J. Engrg. Sci, Volume 29 (1991), pp. 493-512

[9] Y. Benveniste; T. Miloh Imperfect soft and stiff interfaces in two-dimensional elasticity, Mech. Mater, Volume 33 (2001), pp. 309-323

[10] Q.-C. He, H. Le Quang, B. Bary, Neutral inclusions and intrusions in elastic isotropic and anisotropic matrices, in preparation

Cité par Sources :

Commentaires - Politique