Hostname: page-component-cd9895bd7-dk4vv Total loading time: 0 Render date: 2024-12-24T01:00:49.904Z Has data issue: false hasContentIssue false
  • English
  • Français

Scattering of Sh-Wave by Cylindrical Inclusion Near Interface in Bi-Material Half-Space

Published online by Cambridge University Press:  31 March 2011

H. Qi ,
J. Yang  and
Y. Shi
H. Qi
Affiliation:
College of Aerospace and Civil Engineering, Harbin Engineering University Harbin, 150001, China
J. Yang*
Affiliation:
College of Aerospace and Civil Engineering, Harbin Engineering University Harbin, 150001, China
Y. Shi
Affiliation:
College of Aerospace and Civil Engineering, Harbin Engineering University Harbin, 150001, China
*
**Graduate student, corresponding author
Get access

Abstract

Green's function and complex function methods are used here to investigate the problem of the scattering of SH-wave by a cylindrical inclusion near interface in bi-material half-space. Firstly, Green's function was constructed which was an essential solution of displacement field for an elastic right-angle space possessing a cylindrical inclusion while bearing out-of-plane harmonic line source load at any point of its vertical boundary. Secondly, the bi-material media was divided into two parts along the vertical interface using the idea of interface “conjunction”, then undetermined anti-plane forces were loaded at the linking sections respectively to satisfy continuity conditions, and a series of Fredholm integral equations of first kind for determining the unknown forces could be set up through continuity conditions on surface. Finally, some examples for dynamic stress concentration factor of the cylindrical elastic inclusion are given. Numerical results show that dynamic stress concentration factor is influenced by interfaces, free boundary and combination of different media parameters.

Keywords

InterfaceCylindrical inclusionGreen's functionDynamic stress concentration factor
Type
Articles
Information
Journal of Mechanics , Volume 27 , Issue 1 , March 2011 , pp. 37 - 45
Copyright
Copyright © The Society of Theoretical and Applied Mechanics, R.O.C. 2011

Access options

Get access to the full version of this content by using one of the access options below. (Log in options will check for institutional or personal access. Content may require purchase if you do not have access.)

References

REFERENCES

1.Liu, D. K., Gai, B. Z. and Tao, G. Y., “Applications of the Method of Complex Functions to Dynamic Stress Concentrations,” Wave Motion, 4, pp. 293–304 (1982).CrossRefGoogle Scholar
2.Zheng, Z. M., Zhou, H., Zhang, H. X., Huang, K. Z. and Bai, Y. L., “Trends of Development in Mechanics in the Early 21st Centary,” Advances in Mechanics, 25, pp. 433–441 (1995).Google Scholar
3.Lee, W. M. and Chen, J. T., “Scattering of Flexural Wave in Thin Plate with Multiple Circular Holes by Using the Multipole Trefttz Method,” International Journal of Solids and Structures, 47, pp. 1118–1129 (2010).CrossRefGoogle Scholar
4.Chen, J. T., Chen, P. Y. and Chen, C. T., “Surface Motion of Multiple Alluvial Valleys for Incident Plane SH-waves by Using a Semi-analytical Approach,” Soil Dynamics and Earthquake Engineering, 28, pp. 58–72 (2008).CrossRefGoogle Scholar
5.Chen, J. T., Chen, C. T., Chen, P. Y and Chen, I. L., “A Semi-analytical Approach for Radiation and Scattering Problems with Circular Boundaries,” Compute Methods in Applied Methods in Applied Mechanics and Engineering, 196, pp. 2751–2764 (2007).CrossRefGoogle Scholar
6.Liu, D. K. and Liu, H. W., “Scattering and Dynamic Stress Concentration of SH-wave by Interface Circular Hole,” Acta Mechanica Sinica, 30, pp. 597–604 (1998).Google Scholar
7.Shi, S. X. and Liu, D. K., “Dynamic Stress Concentration and Scattering of SH-wave by Interface Multiple Circle Canyons,” Acta Mechanica Sinica, 33, pp. 60–70 (2001).Google Scholar
8.Liu, D. K. and Lin, H., “Scattering of SH-waves by Circular Cavities near Bimaterial Interface,” Acta Mechanica Solida Sinica, 24, pp. 197–204 (2003).Google Scholar
9.Zhao, J. X. and Qi, H., “Scattering of Plane SH Wave from a Partially Debonded Shallow Cylindrical Elastic Inclusion,” Journal of Mechanics, 25, pp. 411–419 (2009).CrossRefGoogle Scholar
10.Shi, W. P., Liu, D. K., Song, Y. T., Chu, J. L. and Hu, A. Q., “Scattering of Circular Cavity in Right-angle Plane Space to Steady SH-wave,” Applied Mathematics and Mechanics, 27, pp. 1619–1626 (2006).CrossRefGoogle Scholar
11.Shi, W. P., Chen, R. P. and Zhang, C. P., “Scattering of Circular Inclusion in Right-angle Plane to Incident Plane SH-wave,” Chinese Journal of Applied Mechanics, 24, pp. 154–161 (2007).Google Scholar
12.Shi, Y., Qi, H. and Yang, Z. L., “Scattering of SH-wave by Circular Cavity in Right-angle Plane and Seismic Ground Motion,” Chinese Journal of Applied Mechanics, 25, pp. 392–398 (2008).Google Scholar
13.Shi, W. P., Liu, D. K. and Song, Y. T., “The Anti-plane Green Function Solution of the Problem of a Fixed Rigid Circular Inclusion in Right-angle Plane,” Acta Mechanica Solida Sinica, 27, pp. 207–212 (2006).Google Scholar
14.Pao, Y. H. and Mow, C. C., Diffraction of Elastic Waves and Dynamics Stress Concentration, Crane-Russak, New York (1972).Google Scholar
15.Lin, H. and Liu, D. K., “Scattering of SH-wave around a Circular Cavity in Half Space,” Earthquake Engineering and Engineering Vibration, 22, pp. 9–16 (2002).Google Scholar