Two-Dimensional Green’s Functions for Elastic Bi-materials

[+] Author and Article Information
J. L. Carvalho, J. H. Curran

Department of Civil Engineering, University of Toronto, Toronto M5S 1A4, Canada

J. Appl. Mech 59(2), 321-327 (Jun 01, 1992) (7 pages) doi:10.1115/1.2899523 History: Received August 15, 1990; Revised February 12, 1991; Online March 31, 2008


Two-dimensional plane-strain fundamental solutions for elastic bi-materials are developed using the nuclei of strain method. The method is a reduction of the threedimensional approach previously derived by Vijayakumar and Cormack. The structure of the three-dimensional solution is preserved and the two-dimensional nuclei of strain and their corresponding vector functions are reported in this paper. Application of these solutions to the boundary element method is demonstrated via a hydraulic fracturing example.

Copyright © 1992 by The American Society of Mechanical Engineers
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