Internal stresses inside a prolate spheroidal inclusion parallel to a uni axial applied stress are obtained by using Eshelby theory. Effects of the elastic modulus and the aspect ratio of the inclusion are evaluated. The present results are compared with others, in particular, with Argon's solu tion for a slender rod.
Get full access to this article
View all access options for this article.
References
1.
A.S. Argon, "Stress in and around Slender Elastic Rods and Platelets of Different Modulus in an Infinite Medium under Uniform Strain at Infinity," Fibre Science Tech., Vol. 9 (1976 ), p. 265.
2.
R.H. Edwards , "Stress Concentrations around Spheroidal Inclusions and Cavities," J. Appl. Mech., Trans. AIME, Vol. 18 (1951), p. 19.
3.
K. Tanaka, T. Mori and T. Nakamura, "Decohesion at the Interface of a Spherical, Fibre, or Disc Inclusion ," Trans. Iron and Steel Inst. Japan, Vol. 11 (1971), p. 383.
4.
J.D. Eshelby , "The Determination of the Elastic Field of an Ellipsoidal Inclusion, and Related problems," Proc. Roy. Soc. , Vol. A-241 (1957), p. 376.
5.
M. Shibata and K. Ono, "Internal Stress Due to an Oblate Spheroidal Inclusion: Misfit, Inhomogeneity and Plastic Deformation Effects," to be published in Acta Metallurgica.
6.
M. Shibata and K. Ono, "Stress Concentration Due to an Oblate Spheroidal Inclusion," to be published in Materials Science and Engineering.
7.
J K.Lee, D.M. Barnett, and H.I. Aaronson, "The Elastic Strain Energy of Coherent Ellipsoidal Precipitate in Anisotropic Crystalline Solids," Met. Trans., Vol. 8A (1977). p. 963.
8.
S. Timoshenko and J.N. Goodier, Theory of Elasticity, McGraw-Hill, New York, (1951), p. 354.