Access the full text.
Sign up today, get DeepDyve free for 14 days.
T. Mura (1987)
Micromechanics of Defects in Solids. [2nd edn]. Martinus Nijhoff: Dordrecht
T. Mura, D. Barnett (1982)
Micromechanics of defects in solids
G. Rodin (1996)
Eshelby's inclusion problem for polygons and polyhedraJournal of The Mechanics and Physics of Solids, 44
J. Eshelby (1957)
The determination of the elastic field of an ellipsoidal inclusion, and related problemsProceedings of the Royal Society of London. Series A. Mathematical and Physical Sciences, 241
D. Owen (1972)
Analysis of fibre-reinforced materials by an initial strain methodFibre Science and Technology, 5
G. Faivre (1969)
Déformations de cohérence d'un précipité quadratiquePhysica Status Solidi B-basic Solid State Physics, 35
Y. Chiu (1977)
On the Stress Field Due to Initial Strains in a Cuboid Surrounded by an Infinite Elastic SpaceJournal of Applied Mechanics, 44
H. Nozaki, M. Taya (1997)
Elastic Fields in a Polygon-Shaped Inclusion With Uniform EigenstrainsJournal of Applied Mechanics, 64
M. Kawashita, H. Nozaki (2001)
Eshelby Tensor of a Polygonal Inclusion and its Special PropertiesJournal of elasticity and the physical science of solids, 64
Y.P. Chiu (1977)
On the stress field due to initial strains in a cuboid surrounded by an infinite elastic spaceASME J Appl Mech, 44
M. Taya H. Nozaki (1997)
Elastic fields in a polygon-shaped inclusion with uniform eigenstrainsASME J Appl Mech, 64
Abstract When studying the regular polygonal inclusion in 1997, Nozaki and Taya discovered numerically some remarkable properties of Eshelby tensor: Eshelby tensor at the center and the averaged Eshelby tensor over the inclusion domain are equal to that of a circular inclusion and independent of the orientation of the inclusion. Then Kawashita and Nozaki justified the properties mathematically. In the present paper, some other properties of a regular polygonal inclusion are discovered. We find that for an N-fold regular polygonal inclusion except for a square, the arithmetic mean of Eshelby tensors at N rotational symmetrical points in the inclusion is also equal to the Eshelby tensor for a circular inclusion and independent of the orientation of the inclusion. Furthermore, in two corollaries, we point out that Eshelby tensor at the center, the averaged Eshelby tensor over the inclusion domain, and the line integral average of Eshelby tensors along any concentric circle of the inclusion are all identical with the arithmetic mean.
"Acta Mechanica Sinica" – Springer Journals
Published: Jun 1, 2005
Read and print from thousands of top scholarly journals.
Already have an account? Log in
Bookmark this article. You can see your Bookmarks on your DeepDyve Library.
To save an article, log in first, or sign up for a DeepDyve account if you don’t already have one.
Copy and paste the desired citation format or use the link below to download a file formatted for EndNote
Access the full text.
Sign up today, get DeepDyve free for 14 days.
All DeepDyve websites use cookies to improve your online experience. They were placed on your computer when you launched this website. You can change your cookie settings through your browser.