A Spherical Inclusion in an Elastic Half-Space Under Shear

[+] Author and Article Information
I. Jasiuk

The George W. Woodruff School of Mechanical Engineering, Georgia Institute of Technology, Atlanta, GA 30332-0405 Atlanta, GA 30332-0405

P. Y. Sheng

Energy Management Development, Product Development Vehicle Engineering, Chrystler Technology Center (contractor), Chrystler Corporation, CIMS 481-01-39, 800 Chrystler Drive East, Auburn Hills, MI 48326-2757

E. Tsuchida

Department of Mechanical Engineering, Saitama University, 255 Shimo-Dkubo, Urawa 338, Japan

J. Appl. Mech 64(3), 471-479 (Sep 01, 1997) (9 pages) doi:10.1115/1.2788917 History: Received September 07, 1993; Revised March 06, 1997; Online October 25, 2007


We find the elastic fields in a half-space (matrix) having a spherical inclusion and subjected to either a remote shear stress parallel to its traction-free boundary or to a uniform shear transformation strain (eigenstrain) in the inclusion. The inclusion has distinct properties from those of the matrix, and the interface between the inclusion and the surrounding matrix is either perfectly bonded or is allowed to slip without friction. We obtain an analytical solution to this problem using displacement potentials in the forms of infinite integrals and infinite series. We include numerical examples which give the local elastic fields due to the inclusion and the traction-free surface.

Copyright © 1997 by The American Society of Mechanical Engineers
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