Interaction of SH-Wave on Multiple Linear Cracks near Shallow-Embedded Structure

Abstract:

The surface displacement of a circular lining structure and multiple cracks in an elastic half space by incident SH-wave is studied in this paper based on the methods of Green's function, complex function and multi-polar coordinates. Firstly, we construct a suitable Green’s function which indicates a fundamental solution to the displacement field for an elastic half space possessing a circular lining structure and cracks while bearing out-plane harmonic line loads at arbitrary point. Then using the method of crack-division, a crack is created. Thus expressions of displacement and stress field are established at the existence of the structure and the cracks. Finally, the interaction of inclusion and two cracks is chosen as numerical examples and the influences of different parameters on the surface displacement are discussed.

• Periodical: Key Engineering Materials (Volumes 488-489)
• Pages: 440-443
• DOI: https://doi.org/10.4028/www.scientific.net/KEM.488-489.440
• Online since: September 2011
• Authors: Zai Lin Yang, Hua Nan Xu, Mei Juan Xu, Bai Tao Sun
• Keywords: Circular Lining Structure, Green's Function, Multiple Cracks, Scattering of SH-Wave, Surface Displacement

References

[1] Pao Yih-hsing: submitted to Applied Mechanics Review. (1998).

[2] Pao Y H, Mow C C: Diffraction of Elastic Wave and Dynamic Stress Concentration (Crane and Russak, New York, 1973).

[3] Zailin Yang, Peilei Yan: submitted to Journal of Key Engineering Materials (2008).

[4] Zailin Yang, Peilei Yan, and Diankui Liu: submitted to Acta Mechanica Sinica (2009).