YANG Zai-lin, XU Hua-nan, HEI Bao-ping. Dynamic response of elliptical inclusion and crack near interface under vertically incident SH-wave from above[J]. 2013, 34(8).
YANG Zai-lin, XU Hua-nan, HEI Bao-ping. Dynamic response of elliptical inclusion and crack near interface under vertically incident SH-wave from above[J]. 2013, 34(8).DOI:
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.