Elastic Field Due to a Dynamically Transforming Spherical Inclusion

[+] Author and Article Information
Y. Mikata, S. Nemat-Nasser

Center of Excellence for Advanced Materials, Department of Applied Mechanics and Engineering Sciences, University of California, San Diego, La Jolla, CA 92093

J. Appl. Mech 57(4), 845-849 (Dec 01, 1990) (5 pages) doi:10.1115/1.2897650 History: Received July 11, 1988; Revised February 13, 1989; Online March 31, 2008


As a first step towards a systematic study of the interaction between a stress-pulse traveling in transformation toughened ceramics and possible phase transformation of zirconia particles, a dynamic inclusion problem is investigated. An exact closed-form solution is obtained for the case of a spherical inclusion. With this result, the dynamic Eshelby tensors for the inside and outside fields of the spherical inclusion are defined and determined. It is confirmed that the static Eshelby tensor is obtained as a static limit of the dynamic Eshelby tensor. It is found in the numerical results that the frequency of the dynamic inclusion has a relatively large influence on the amplitudes of the stress components inside and outside the inclusion.

Copyright © 1990 by The American Society of Mechanical Engineers
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