Asymptotic Solutions of Penny-Shaped Inhomogeneities in Global Eshelby’s Tensor

[+] Author and Article Information
Q. Yang, W. Y. Zhou

Department of Hydraulic Engineering, Tsinghua University, 100084 Beijing, P. R. China

G. Swoboda

Faculty of Civil Engineering and Architecture, University of Innsbruck, Technikerstr. 13 A-6020 Innsbruck, Austriae-mail: gunter.swoboda@uibk.ac.at

J. Appl. Mech 68(5), 740-750 (Jan 08, 2001) (11 pages) doi:10.1115/1.1380676 History: Received April 18, 2000; Revised January 08, 2001
Copyright © 2001 by ASME
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(a) Inclusion or inhomogeneity Ω; (b) an ellipsoidal inclusion with principal half-axes a1,a2, and a3
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Global and local coordinate system
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(a) The Eshelby’s equivalent inclusion Ω of the penny-shaped inhomogeneity; (b) the energy-based equivalent inclusion Ωeq of the same inhomogeneity
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(a) The Eshelby’s equivalent inclusion of a crack; (b) the spherical energy-based equivalent inclusion of the same crack
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The variation of h with respect to α and ν0
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The evolution of the energy-based equivalent inclusion Ωeq during the damaging process of a penny-shaped inhomogeneity: stiffness degrading, debonding, and cracking




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