The Stress Fields Caused by a Circular Cylindrical Inclusion

[+] Author and Article Information
Hisao Hasegawa

Department of Mechanical Engineering, Meiji University, Tama-ku, Kawasaki, 214 Japan

Ven-Gen Lee, Toshio Mura

Department of Civil Engineering, Northwestern University, Evanston, IL 60208

J. Appl. Mech 59(2S), S107-S114 (Jun 01, 1992) doi:10.1115/1.2899473 History: Received January 08, 1991; Revised March 27, 1991; Online March 31, 2008


Exact solutions are presented in closed forms for the axisymmetric stress and displacement fields caused by a solid or hollow circular cylindrical inclusion (with uniform axial eigenstrain prescribed) in an infinite elastic solid. The same expressions are obtained for the elastic fields for interior and exterior points of the inclusion. Although Eshelby’s solutions for ellipsoidal inclusions are uniform in the interior points, the present solutions do not show the uniformity. When the length of inclusion becomes infinite, the present solutions agree with Eshelby ’s results. The strain energy is also shown. The method of Green’s function is used.

Copyright © 1992 by The American Society of Mechanical Engineers
Topics: Stress , Displacement
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