Hostname: page-component-cd9895bd7-gxg78 Total loading time: 0 Render date: 2024-12-27T09:26:41.058Z Has data issue: false hasContentIssue false
  • English
  • Français

Dynamic Analysis for Circular Inclusion Near Interfacial Crack Impacted by SH-Wave in Half Space

Published online by Cambridge University Press:  22 March 2012

H. Qi ,
J. Yang ,
Y. Shi  and
J. Y. Tian
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
J. Y. Tian
Affiliation:
Institute of crustal Dynamics, China Earthquake Administration, Beijing 100085, China
*
*Corresponding author (yangjie04024218@163.com)
Get access

Abstract

Complex method and Green's function method are used here to investigate the dynamic analysis for circular inclusion near interfacial crack impacted by SH-wave in bi-material half-space. Firstly, the displacement expression of the scattering wave was constructed which satisfied the free boundary conditions, then Green's function could be constructed, which was an essential solution to the displacement field for an elastic right-angle space with a circular inclusion impacted by out-plane harmonic line source loading at vertical surface. Secondly, crack was made out with “crack-division” technique. Meanwhile, the bi-material media was divided into two parts along the bi-material interface based on the idea of interface “conjunction”, and then the vertical surfaces of the two right-angle spaces were loaded with undetermined anti-plane forces in order to satisfy displacement continuity and stress continuity conditions at linking section. So a series of algebraic equations for determining the unknown forces could be set up through continuity conditions and the Green's function. Finally, some examples and results for dynamic stress concentration factor of the circular elastic inclusion were given. Numerical results show that they are influenced by interfacial crack, the incident wave number and the free boundary in some degree.

Keywords

Interfacial crackCircular inclusionRight-angle spaceGreen's functionDynamic stress Concentration factor (DSCF)
Type
Articles
Information
Journal of Mechanics , Volume 28 , Issue 1 , March 2012 , pp. 143 - 151
Copyright
Copyright © The Society of Theoretical and Applied Mechanics, R.O.C. 2012

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. Pedziwiatr, J., “Influence of Internal Cracks on Bond in Cracked Concrete Structures,” Archives of Civil and Mechanical Engineering, 8, pp. 91–105 (2008).CrossRefGoogle Scholar
2. Yang, S., Song, L. and Li, Z., “Experimental Investigation on Fracture Toughness of Interface Crack for Rock/Concrete,” International Journal of Modern Physics B, 22, pp. 6141–6148 (2008).CrossRefGoogle Scholar
3. 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
4. Wang, X. D., Zhou, Z. Z. and Wang, D., “Impact Response of a Finite Interface Crack,” Explosion and Shock Waves, 11, pp. 193–205 (1991).Google Scholar
5. Shi, J. P., Yang, C., Liu, X. H. and Mo, X. Y., “Influence of Inclusions on Bi-materials Interface crack,” Acta Mechanica Sinica, 36, pp. 177–183 (2004).Google Scholar
6. Zhou, Z. G. and Wang, B., “Scattering of Harmonic Anti-plane Shear Waves by an Interface Crack in Magneto_Electro_Elastic Composites,” Applied Mathematics and Mechanics, 26, pp. 16–24 (2005).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. 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
10. 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
11. Lee, W. M. and Chen, J. T., “Scattering of Flexural Wave in Thin Plate with Multiple Circular Holes by Using the Multiple Trefttz Method,” International Journal of Solids and Structures, 47, pp. 1118–1129 (2010).CrossRefGoogle Scholar
12. Lee, Vincent W. and Hao, L., “Anti-plane Foundationless Soil-structure Interaction,” Soil Dynamics and Earthquake Engineering, 30, pp. 1329–1337 (2010).CrossRefGoogle Scholar
13. Guz, A. N. and Zozulya, V. V., “On Dynamical Fracture Mechanics in the Case of Polyharmonic Loading by SH-wave,” International Applied Mechanics, 46, pp. 113–119 (2010).CrossRefGoogle Scholar
14. Li, H. L. and Liu, D. K., “Dynamic Stress Concentration Problem of SH Wave by Cracks near a Circular Inclusion,” Journal of Harbin Engineering University, 26, pp. 359–363 (2005).Google Scholar
15. Qi, H., Shi, Y. and Liu, D. K., “Interaction of a Circular Cavity and a Beeline Crack in Right-angle Plane Impacted by SH-wave,” Journal of Harbin Institute of Technology (New Series), 16, pp. 548–553 (2009).Google Scholar
16. 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
17. Pao, Y. H. and Mow, C. C., Diffraction of Elastic Waves and Dynamics Stress Concentration, Crane-Russak, New York, 1972.Google Scholar
18. 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