The Isotropic Ellipsoidal Inclusion With a Polynomial Distribution of Eigenstrain-Reference-Cited by-同舟云学术

The Isotropic Ellipsoidal Inclusion With a Polynomial Distribution of Eigenstrain

Published:2002-08-16 Issue:5 Volume:69 Page:593-601
ISSN:0021-8936
Container-title:Journal of Applied Mechanics
language:en
Short-container-title:

Author:

Rahman M.¹

Affiliation:

1. Daimler-Chrysler Corporation, CIMS 484-14-01, 800 Chrysler Drive, Auburn Hills, MI 48326-2757

Abstract

We consider the problem of determining the elastic field in an infinite elastic solid induced by an ellipsoidal inclusion with a distribution of eigenstrains. The particular type of distribution considered in the article is characterized by a polynomial in the Cartesian coordinates of the points of the inclusion. Eshelby showed that in such a situation the induced strain field within the inclusion is also characterized by a polynomial of the same order. However, the explicit expression for this polynomial seems to have not yet been reported in the literature. The present study fills this gap.

Publisher

ASME International

Subject

Mechanical Engineering,Mechanics of Materials,Condensed Matter Physics

Link

http://asmedigitalcollection.asme.org/appliedmechanics/article-pdf/69/5/593/5469296/593_1.pdf

Reference25 articles.

1. Eshelby, J. D. , 1957, “The Determination of the Elastic Field of an Ellipsoidal Inclusion, and Related Problems,” Proc. R. Soc. London, Ser. A, A241, pp. 376–396.

2. Eshelby, J. D. , 1959, “The Elastic Field Outside an Ellipsoidal Inclusion,” Proc. R. Soc. London, Ser. A, A252, pp. 561–569.

3. Eshelby, J. D., 1960, “Elastic Inclusions and Inhomogeneities,” Progress in Solid Mechanics, 2, I. N. Sneddon and R. Hill, eds., North-Holland, Amsterdam, pp. 89–140.

4. Walpole, L. J. , 1967, “The Elastic Field of an Inclusion in an Anisotropic Medium,” Proc. R. Soc. London, Ser. A, 300, pp. 270–289.

5. Kinoshita, N., and Mura, T., 1971, “Elastic Fields of Inclusions in Anisotropic Media,” Phys. Status Solidi A, 5, pp. 759–768.

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