Interaction of general plane P wave and cylindrical inclusion partially debonded from its viscoelastic matrix |
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Authors: | Wei Peijun Zhang Zimao Wang Yuesheng |
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Institution: | (1) Institute of Mechanics, Northern Jiaotong University, 100044 Beijing, China |
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Abstract: | The interaction of a general plane P wave and an elastic cylindrical inclusion of infinite length partially debonded from
its surrounding viscoelastic matrix of infinite extension is investigated. The debonded region is modeled as an arc-shaped
interface crack between inclusion and matrix with non-contacting faces. With wave functions expansion and singular integral
equation technique, the interaction problem is reduced to a set of simultaneous singular integral equations of crack dislocation
density function. By analysis of the fundamental solution of the singular integral equation, it is found that dynamic stress
field at the crack tip is oscillatory singular, which is related to the frequency of incident wave. The singular integral
equations are solved numerically, and the crack open displacement and dynamic stress intensity factor are evaluated for various
incident angles and frequencies.
The project supported by the National Natural Science Foundation of China (19872002) and Climbing Foundation of Northern Jiaotong
University |
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Keywords: | general plane wave interface crack scattering |
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