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Technical Briefs

A Note on the Derivation of Plane-Strain Elastic Green’s Functions for Bimaterial Solids

[+] Author and Article Information
Xi Zhang1

 CSIRO Petroleum Resources, Clayton, Victoria 3168, Australiaxi.zhang@csiro.au

1

Corresponding author.

J. Appl. Mech 76(6), 064503 (Jul 27, 2009) (3 pages) doi:10.1115/1.3112746 History: Received August 13, 2008; Revised February 03, 2009; Published July 27, 2009

This brief note presents a rigorous proof of the general solutions obtained by Aderogba [1977, “On Eigenstresses in Dissimilar Media,” Philos. Mag., 35, pp. 281–292] for a defect in elastic bimaterial solids. The derivation is based on the fact that some derivative and integral forms of the biharmonic functions are also biharmonic. The associated solutions can be expressed as the linear combinations of these biharmonic functions and their unknown coefficients can be determined by the interface conditions. It is found that the coefficients only depend on the contrasts of material constants across the interface.

Copyright © 2009 by American Society of Mechanical Engineers
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