Dynamic Response of Complex Structure in Half Space

Abstract:

The problems of SH-wave scattering caused by a subsurface circular lining structure and a beeline crack with arbitrary length at an arbitrary position were studied by using the methods of Green's function, complex variables and multi-polar coordinates. A adaptive Green's function, an essential solution to the displacement field for the elastic space possessing circular lining structure while bearing out-plane harmonic lining loads at an arbitrary point, was constructed firstly, and then a crack was created using “crack-division”. Thus the expressions of displacement and stress were established while the crack and the inclusion both existed. Finally, we give some numerical examples to discuss the variety of the horizontal surface displacement in the case of different parameters.

• Periodical: Advanced Materials Research (Volumes 199-200)
• Pages: 973-976
• DOI: https://doi.org/10.4028/www.scientific.net/AMR.199-200.973
• Online since: February 2011
• Authors: Ming Song Gao, Zhi Gang Chen
• Keywords: Beeline Crack, Crack-Division, Green's Function, Ground Motion, Scattering of SH-Wave, Subsurface Circular Lining Structure

References

[1] Hui Qi, Yan Wang, Diankui Liu: Earthquake Engineering and Engineering Vibration, 23: 3(2003), pp.41-46.

[2] Zailin Yang, Peilei Yan, Diankui Liu: Acta Mechanica Sinica. 2009. 41: 2(2009), pp.229-235.

[3] Diankui Liu, Hong Lin: ACTA Mechanica Sinica, 20: 3(2004), pp.317-326. (In Chinese).

[4] Zailin Yang, Diankui Liu, Xiaotang Lv: 5th International Conference on Fracture and Damage Mechanics (2006), pp.679-682.

[5] Lee, V.W., Chen, S. and Hsu, I.R.: Journal of Engineering Mechanics, 125: 10(1999), pp.1106-1114.