The Elastostatic Axisymmetric Problem of a Cracked Sphere Embedded in a Dissimilar Matrix

[+] Author and Article Information
R. Kant, D. B. Bogy

Department of Mechanical Engineering, University of California, Berkeley, Calif. 94720

J. Appl. Mech 47(3), 545-550 (Sep 01, 1980) (6 pages) doi:10.1115/1.3153729 History: Received September 01, 1979; Revised January 01, 1980; Online July 21, 2009


The axisymmetric elastostatic problem of a cracked sphere embedded in a dissimilar matrix is solved by using the solution for a spherical cavity in an infinite medium together with the axisymmetric solution for a cracked sphere given in the companion paper in this issue of the Journal of Applied Mechanics, Pages 538-544. Numerical results are presented for (a) interface stress for various composites (b) dependence of the stress-intensity factor on the material parameters and ratios of crack to sphere radii, (c) the difference in the elastic strain energy for a cracked and uncracked composite.

Copyright © 1980 by ASME
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