Hostname: page-component-cd9895bd7-q99xh Total loading time: 0 Render date: 2024-12-19T01:51:26.208Z Has data issue: false hasContentIssue false
  • English
  • Français

Singular Stress Fields of Anisotropic Bimaterial Wedges with Imperfect Interfaces

Published online by Cambridge University Press:  05 May 2011

Anil C. Wijeyewickrema ,
Somsak Leungvichcharoen  and
Piya Poonsawat
Anil C. Wijeyewickrema*
Affiliation:
Department of Civil Engineering, Tokyo Institute of Technology, Tokyo 152–8552, Japan
Somsak Leungvichcharoen*
Affiliation:
Department of Civil Engineering, Tokyo Institute of Technology, Tokyo 152–8552, Japan
Piya Poonsawat*
Affiliation:
School of Civil Engineering, Rangsit University, Pathumthani 12000, Thailand
*
*Associate Professor
**Graduate student
***Assistant Professor
Get access

Abstract

The effect of an imperfect interface on the stress singularity of anisotropic bimaterial wedges subjected to traction free boundary conditions are investigated. The interfacial tractions are assumed to be continuous, directly proportional to the displacement jumps and inversely proportional to the radial coordinate. The characteristic equation for the order of singularity is obtained and numerical results are given for the angle-ply bimaterial composite wedge.

Keywords

Anisotropic elasticityBimaterial composite wedgeImperfect interfaceSingularities
Type
Articles
Information
Journal of Mechanics , Volume 19 , Issue 1 , March 2003 , pp. 203 - 210
Copyright
Copyright © The Society of Theoretical and Applied Mechanics, R.O.C. 2003

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

1Benthem, J. P., “On the Stress Distribution in Anisotropic Wedges,” Quarterly of Applied Mathematics, 21, pp. 189–198 (1963).CrossRefGoogle Scholar
2Ma, C.-C. and Hour, B.-L., “Analysis of Dissimilar Anisotropic Wedges Subjected to Antiplane Shear Deformation,” International Journal of Solids and Structures, 25, pp. 1295–1309 (1989).Google Scholar
3Chue, C.-H. and Liu, C.-I., “A General Solution on Stress Singularities in an Anisotropic Wedge,” International Journal of Solids and Structures, 38, pp. 6889–6906 (2001).CrossRefGoogle Scholar
4Wang, S. S. and Choi, I., “Boundary-Layer Effects in Composite Laminates; Part I, Free-Edge Stress Singularities; Part II, Free-Edge Stress Solutions and Characteristics,” ASME Journal of Applied Mechanics, 49, pp. 541–550 (1982).CrossRefGoogle Scholar
5Zwiers, R. I., Ting, T. C. T. and Spilker, R. L., “On the Logarithmic Singularity of Free-Edge Stress in Laminated Composites Under Uniform Extension,” ASME Journal of Applied Mechanics, 49, pp. 562–569 (1982).CrossRefGoogle Scholar
6Delale, F., “Stress Singularities in Bonded Anisotropic Materials,” International Journal of Solids and Structures, 20, pp. 31–41 (1984).CrossRefGoogle Scholar
7Lin, Y. Y. and Sung, J. C., “Stress Singularities at the Apex of a Dissimilar Anisotropic Wedge,” ASME Journal of Applied Mechanics, 65, pp. 454–463 (1998).CrossRefGoogle Scholar
8Poonsawat, P., Wijeyewickrema, A. C., Karasudhi, P., “Singular Stress Fields of Angle-ply and Monoclinic Bimaterial Wedges,” International Journal of Solids and Structures, 38, pp. 91–113 (2001).CrossRefGoogle Scholar
9Chue, C.-H., Chen, T.-H. and Lee, H.-T., “A General Solution in Stress Singularities in the Junction of Two Anisotropic Materials,” Composite Structures, 55, pp. 81–93 (2002).CrossRefGoogle Scholar
10Chue, C.-H. and Liu, C.-I., “Disappearance of Free-Edge Stress Singularity in Composite Laminates,” Composite Structures, 56, pp. 111–129 (2002).CrossRefGoogle Scholar
11Chue, C.-H. and Liu, C.-I., “Stress Singularities in Bimaterial Anisotropic Wedge with Arbitrary Fiber Orientation,” Composite Structures, 58, pp. 49–56 (2002).CrossRefGoogle Scholar
12Mishuris, G. S., “Influence of Interfacial Models on a Stress Field Near a Crack Terminating at a Bimaterial Interface,” International Journal of Solids and Structures, 34, pp. 37–46 (1997).CrossRefGoogle Scholar
13Mishuris, G. S., “Asymptotics of the Elastic Solution of a Plane Problem Near the Crack Tip Terminating at a Nonideal Bimaterial Interface (Mode I and II),” Mechanics of Composite Materials, 34, pp. 439–456 (1998).CrossRefGoogle Scholar
14Mishuris, G. S., “Stress Singularity at a Crack Tip for Various Intermediate Zones in Bimaterial Structures (Mode III),” International Journal of Solids and Structures, 36, pp. 999–1015 (1999).CrossRefGoogle Scholar
15Stroh, A. N., “Dislocations and Cracks in Anisotropic Elasticity,” Philosophical Magazine, 3, pp. 625–646 (1958).CrossRefGoogle Scholar
16Eshelby, J. D., Read, W. T. and Shockley, W., “Anisotropic Elasticity with Applications to Dislocation Theory,” Acta Metallurgica, 1, pp. 251–259 (1953).CrossRefGoogle Scholar
17Ting, T. C. T. and Chou, S. C., “Edge Singularities in Anisotropic Composites,” International Journal of Solids and Structures, 17, pp. 1057–1068 (1981).CrossRefGoogle Scholar
18Wang, A. S. D. and Crossman, F. W., “Some New Results on Edge Effects in Symmetric Composite Laminates,” Journal of Composite Materials, 11, pp. 92–106 (1977).CrossRefGoogle Scholar
19Ting, T. C. T., “Explicit Solution and Invariance of the Singularities at an Interface Crack in Anisotropic Composites,” International Journal of Solids and Structures, 22, pp. 965–983 (1986).CrossRefGoogle Scholar
20Suo, Z., “Singularities, Interfaces and Cracks in Dissimilar Anisotropic Medi.” Proceedings of the Royal Society of London, 331–358, p. A427 (1990).Google Scholar