On the Eshelby’s Inclusion Problem for Ellipsoids With Nonuniform Dilatational Gaussian and Exponential Eigenstrains

[+] Author and Article Information
P. Sharma

General Electric Corporate R&D, Niskayuna, NY 12309

R. Sharma

Massachusetts Institute of Technology, Cambridge, MA 02139

J. Appl. Mech 70(3), 418-425 (Jun 11, 2003) (8 pages) doi:10.1115/1.1558078 History: Received January 15, 2002; Revised September 27, 2002; Online June 11, 2003
Copyright © 2003 by ASME
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Grahic Jump Location
An inclusion Ω confined in an infinite linear elastic medium D. The origin of the coordinate system is at the center of the inclusion.
Grahic Jump Location
Parametric variation of Gaussian eigenstrains as a function of k along a radial axis of a spherical inclusion
Grahic Jump Location
Nonzero components of the stress tensor along the x1-axis of a spherical inclusion loaded with dilatational Gaussian eigenstrains (k=1)
Grahic Jump Location
Nonzero components of the stress tensor along the line defined by x1=x2,x3=0 of a spherical inclusion loaded with dilatational Gaussian eigenstrains (k=1)
Grahic Jump Location
Components of the stress tensor along the x1-axis or a line defined by x1=x2,x3=0 of a spherical inclusion loaded with either dilatational Gaussian eigenstrains or dilatational exponential eigenstrains in the limit of k→0 (Eshelby’s classical solution)
Grahic Jump Location
Interior solution for σ11 along the x1-axis of a spherical inclusion, as a function of k, due to Gaussian eigenstrains



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