›› 2013, Vol. 34 ›› Issue (8): 2378-2384.

• Numerical Analysis • Previous Articles     Next Articles

Dynamic response of elliptical inclusion and crack near interface under vertically incident SH-wave from above

YANG Zai-lin, XU Hua-nan, HEI Bao-ping   

  1. College of Aerospace and Civil Engineering, Harbin Engineering University, Harbin 150001, China
  • Received:2012-06-11 Online:2013-08-12 Published:2013-08-13

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Abstract: Green’s function method and "conformal mapping" technology are used to analyze interaction of an elliptical elastic inclusion and a crack at arbitrary position under incident SH-waves from above. The fundamental solution to the displacement field for elastic half space containing an elliptical inclusion while bearing a time harmonic out-plane line source load at any point was firstly constructed, namely the suitable Green’s function. Combined with “crack-division” technology, a beeline crack was then created to derive the displacement field and stress field of elastic half-space containing an elliptical elastic inclusion and a crack. Lastly, numerous numerical examples are given to discuss distribution regularities of dynamic stress concentration factor (DSCF) around the elliptical inclusion, the horizontal surface displacement and dynamic stress intensity factor (DSIF) at crack tip under different parameters, and the results demonstrate that variation of different parameters can bring certain effect on them.

Key words: scattering of SH-waves, Green’s function, conformal mapping, interaction of inclusion and crack

CLC Number: 

  • TB 115
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