Hostname: page-component-cd9895bd7-hc48f Total loading time: 0 Render date: 2024-12-28T17:15:19.930Z Has data issue: false hasContentIssue false
  • English
  • Français

Scattering of SH Wave by a Cylindrical Inclusion and a Semi-Cylindrical Hollow Near Vertical Interface Crack in the Bi-Material Half Space

Published online by Cambridge University Press:  17 October 2016

H. Qi ,
X.-M. Zhang ,
H.-Y. Cheng  and
M. Xiang
H. Qi
Affiliation:
College of Aerospace and Civil EngineeringHarbin Engineering UniversityHarbin, China
X.-M. Zhang*
Affiliation:
College of Aerospace and Civil EngineeringHarbin Engineering UniversityHarbin, China
H.-Y. Cheng
Affiliation:
College of Aerospace and Civil EngineeringHarbin Engineering UniversityHarbin, China
M. Xiang
Affiliation:
College of Aerospace and Civil EngineeringHarbin Engineering UniversityHarbin, China
*
*Corresponding author (zhangximeng@hrbeu.edu.cn)
Get access

Abstract

With the aid of the Green's function method and complex function method, the scattering problem of SH-wave by a cylindrical inclusion and a semi-cylindrical hollow in the bi-material half space is considered to obtain the steady state response. Firstly, by the means of the image method, the essential solution of displacement field as well as Green's function is constructed which satisfies the stress free on the horizontal boundary in a right-angle space including a cylindrical inclusion and a semi-cylindrical hollow and bearing a harmonic out-plane line source force at any point on the vertical boundary. Secondly, the bi-material half space is divided into two parts along the vertical interface, and the first kind of Fredholm integral equations containing undetermined anti-plane forces at the linking section is established by “the conjunction method” and “the crack-division method”, the integral equations are reduced to the algebraic equations consisting of finite items by effective truncation. Finally, dynamic stress concentration factor around the edge of cylindrical inclusion and dynamic stress intensity factor at crack tip are calculated, and the influences of effect of interface and different combination of material parameters, etc. on dynamic stress concentration factor and dynamic stress intensity factor are discussed.

Keywords

Cylindrical inclusionSemi-cylindrical hollowDynamic stress concentration factor (DSCF)Dynamic stress intensity factor (DSIF)
Type
Research Article
Information
Journal of Mechanics , Volume 33 , Issue 5 , October 2017 , pp. 619 - 629
Copyright
Copyright © The Society of Theoretical and Applied Mechanics 2017 

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

1. Qi, H., Yang, J. and Shi, Y., “Scattering of SH-wave by Cylindrical Inclusion near Interface in Bi-material Half-space,” Journal of Mechanics, 27, pp. 37–45 (2011).Google Scholar
2. Qi, H. and Yang, J., “Dynamic Analysis for Circular Inclusion of Arbitrary Positions near Interfacial Crack Impacted by SH-wave in Half-space,” European Journal of Mechanics/A Solids, 36, pp. 18–24 (2012).Google Scholar
3. Qi, H., Zhang, G. H. and Guo, J., “Dynamic analysis of the scattering of SH waves by circular inclusion near bimaterial interface in half-space,” Journal of Solid Mechanics, 34, pp. 426–432 (2013).Google Scholar
4. Han, F., Wang, G. Z. and Chen, H., “Research on Scattering of SH Waves on Multiple Hills an Canyons,” Applied Mathematics and Mechanics, 34, pp. 355–363 (2013).Google Scholar
5. 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
6. 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
7. 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 Structure, 47, pp. 1118–1129 (2010).Google Scholar
8. Liang, J. W., Ding, M. and Du, J. J., “Diffraction of Cylindrical SH Waves Around Circular Lined Cavity: Analytical Solution,” Journal of Earthquake Engineering and Engineering Vibration, 33, pp. 1–7 (2013).Google Scholar
9. Lin, H. and Liu, D. K., “Scattering of SH-wave around a Circular Cavity in Half Space,” Journal of Earthquake Engineering and Engineering Viberation, 22, pp. 9–16 (2002).Google Scholar
10. 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 Solid Mechanics, 25, pp. 392–397 (2008).Google Scholar