Scattering of SH-Wave by a Shallow-Embedded Circular Lining Structure and Its Surrounding Beeline Crack and Ground Motion

Abstract eng:
The problems of SH-wave scattering, which are caused by a shallow-embedded circular lining structure and beeline crack of arbitrary length and arbitrary position, are studied in this paper beyond the field of linearly elastic dynamic mechanics. The methods of Green's function, complex variables and multi-polar coordinates are used here. Firstly a suitable Green's function is constructed, which is an essential solution to the displacement field for the elastic space possessing circular lining structure while bearing out-of-plane harmonic line source load at arbitrary point. Then using the Green's function and the method of crack-division, the crack is established: reverse stresses are inflicted along the crack, that is, out-of-plane harmonic line source loads, which are equal in the quantity but opposite in the direction to the stresses produced for the reason of SH-wave scattering by crack or circular lining structure, are loaded at the region where crack will appear, thus the crack can be made out. Then expressions of displacement and stress are established while crack and inclusion are both in existent. Finally, according to some numerical examples, the horizontal surface displacement is discussed to the case of different parameters just like the wave number of incident wave, the incident angle, the length of crack,and so on.

• Export as: BibTeX | MARC | MARCXML | DC | EndNote | NLM | RefWorks
• Add to your basket