Green's function of a point dislocation for the bending of a composite infinite plate with an elliptical hole at interface |
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Authors: | X-F Wang N Hasebe |
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Institution: | (1) Department of Civil Engineering, Nagoya Institute of Technology, Gokiso-cho, Showa-ku, Nagoya 466-8555, Japan E-mail: hasebe@kozo4.ace.nitech.ac.jp Phone/Fax: +81-52-735-5482, JP |
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Abstract: | Summary The problem of a hole at bimaterial interface is of practical importance in providing a good understanding of the debonding
phenomenon and for determining factors that affect the mechanical properties of composite elements of structures. The problem
of a point dislocation in bending bonded dissimilar semi-infinite plates with an elliptical hole at interface is tackled in
this paper. Based on the method of analytic continuation and the rational mapping function technique, the problem of obtaining
the stress functions in the upper and lower plates is decoupled, and reduced to two Riemann–Hilbert problems. The closed-form
solution is obtained. The stress distributions at the bimaterial interface, as well as the debonding at both vertices of the
elliptical hole are studied. The stress intensities of debonding are depicted for various parameters.
Received 16 March 2000; accepted for publication 12 July 2000 |
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Keywords: | Green's function point dislocation bending of plate interface bimaterial |
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