Scattering of SH-waves by an interacting interface linear crack and a circular cavity near bimaterial interface |
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Authors: | Liu Diankui Lin Hong |
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Institution: | (1) Civil Engineering College, Harbin Engineering University, 150001 Harbin, China |
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Abstract: | An analytical method is developed for scattering of SH-waves and dynamic stress concentration by an interacting interface
crack and a circular cavity near bimaterial interface. A suitable Green's function is contructed, which is the fundamental
solution of the displacement field for an elastic half space with a circular cavity impacted by an out-plane harmonic line
source loading at the horizontal surface. First, the bimaterial media is divided into two parts along the horizontal interface,
one is an elastic half space with a circular cavity and the other is a complete half space. Then the problem is solved according
to the procedure of combination and by the Green's function method. The horizontal surfaces of the two half spaces are loaded
with undetermined anti-plane forces in order to satisfy continuity conditions at the linking section, or with some forces
to recover cracks by means of crack-division technique. A series of Fredholm integral equations of first kind for determining
the unknown forces can be set up through continuity conditions as expressed in terms of the Green's function. Moreover, some
expressions are given in this paper, such as dynamic stress intensity factor (DSIF) at the tip of the interface crack and
dynamic stress concentration factor (DSCF) around the circular cavity edge. Numerical examples are provided to show the influences
of the wave numbers, the geometrical location of the interface crack and the circular cavity, and parameter combinations of
different medial upon DSIF and DSCF.
The project supported by the National Natural Science Foundation of China (59578003) and Doctoral Research Foundation of Chinese
Ministry of Education (9521702) |
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Keywords: | bimaterial media SH-wave interface crack circular cavity |
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