Green’s Function of a Bimaterial Problem With a Cavity on the Interface—Part I: Theory

[+] Author and Article Information
P. B. Prasad, Norio Hasebe, X. F. Wang

Postdoctoral ResearcherProfessorResearch AssociateDepartment of Civil Engineering, Nagoya Institute of Technology, Gokiso-Cho, Showa-Ku, Nagoya 466, Japan

Y. Shirai

Engineer, Shizuoka Prefectural Government, Shizuoka, Japan

J. Appl. Mech 72(3), 389-393 (Nov 24, 2003) (5 pages) doi:10.1115/1.1876432 History: Received August 05, 2003; Revised November 24, 2003

The problem of a point dislocation interacting with an elliptical hole located on a bimaterial interface is examined. Analytical solution is obtained by employing the techniques of complex variables and conformal mapping. A rational mapping function is used to map a half-plane with a semielliptical notch onto a unit circle. In the first part of this paper, complex potentials for the bimaterial system with an elliptical hole on the interface is derived when a point dislocation is present in the upper half-plane without loss of generality. The solution derived can be used as Green’s function to study internal cracks interacting with an elliptical interfacial cavity.

Copyright © 2005 by American Society of Mechanical Engineers
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Grahic Jump Location
Figure 1

Elliptical hole at a bimaterial interface



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