A Volume Integral Equation Technique for Multiple Inclusion and Crack Interaction Problems

[+] Author and Article Information
Jungki Lee

Department of Mechanical Design and Production Engineering, Hong Ik University, Jochiwon-Eup, Yeonki-Gun, Chungnam, Korea 339800

Ajit Mal

Department of Mechanical and Aerospace Engineering, University of California, Los Angeles, CA 90095-1597

J. Appl. Mech 64(1), 23-31 (Mar 01, 1997) (9 pages) doi:10.1115/1.2787282 History: Received December 20, 1995; Revised June 20, 1996; Online October 25, 2007


A volume integral equation method is introduced for the solution of elastostatic problems in heterogeneous solids containing interacting multiple inclusions, voids, and cracks. The method is applied to two-dimensional problems involving long parallel cylindrical inclusions and cracks. The influence of interface layers on the interfacial stress field is investigated. The stress intensity factors for microcracks in the presence of interacting inclusions or voids are also calculated for a variety of model geometries. The accuracy and efficiency of the method are examined through comparison with results obtained from analytical and boundary integral methods.

Copyright © 1997 by The American Society of Mechanical Engineers
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