Eigenfunction Expansion and Higher Order Weight Functions of Interface Cracks

[+] Author and Article Information
Yi-Zhou Chen

Division of Engineering Mechanics, Jiangsu University of Science and Technology, Zhenjiang, Jiangsu, 212013, China

Norio Hasebe

Department of Civil Engineering, Nagoya Institute of Technology, Gokiso-cho, Showa-ku, Nagoya 466, Japan

J. Appl. Mech 61(4), 843-849 (Dec 01, 1994) (7 pages) doi:10.1115/1.2901566 History: Received October 12, 1992; Revised October 26, 1993; Online March 31, 2008


In this paper the properties of the eigenfunction expansion form in the interface crack problem of plane elasticity are discussed in detail. After using the Betti’s reciprocal theorem to the cracked dissimilar bonded body, several path-independent integrals are obtained. All the coefficients in the eigenfunction expansion form, including the K1 and K2 values, and the J-integral can be related to corresponding path independent integrals. Possibility for formulating the weight function is also suggested.

Copyright © 1994 by The American Society of Mechanical Engineers
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