Abstract
A general solution to the antiplane problem of curvilinear cracks in bonded dissimilar materials is provided. The analysis is based upon the Hilbert problem formulation and the technique of analytical continuation. To illustrate the use of the present approach, detailed results are given for a single circular-arc crack lying along the interface between dissimilar materials. The expressions of the complex potentials are derived explicitly in both the unit disk and the surrounding medium. Both the stress intensity factors and contact stress are provided in an explicit form and the former are verified by comparison with existing ones. The effect of material and geometrical parameters upon the contact stress and stress intensity factors has also been discussed and shown in graphic form.
This is a preview of subscription content, log in via an institution to check access.
Similar content being viewed by others
References
G.C. Sih, Journal of Applied Mechanics 32 (1965) 51–58.
A.B. Perlman and G.C. Sih, International Journal of Engineering Science 5 (1967) 845–867.
A.B. Perlman and G.C. Sih, International Journal of Fracture 3 (1967) 193–206.
C.R. Chiang, International Journal of Fracture 32 (1986) R63–R66.
B. Cotterell and J.R. Rice, International Journal of Fracture 16 (1980) 155–169.
Y.Z. Chen, International Journal of Fracture 45 (1990) R33–R36.
Y.Z. Chen, International Journal of Fracture 48 (1991) R75–R78.
C.K. Chao and M.H. Shen, Journal of Thermal Stresses 16 (1993) 215–231.
N.I. Muskhelishvili, Some Basic Problems of the Mathematical Theory of Elasticity, Noordhoff Publishers, Groningen (1953).
Author information
Authors and Affiliations
Rights and permissions
About this article
Cite this article
Chao, C.K., Huang, W.J. Antiplane problem of curvilinear cracks in bonded dissimilar materials. Int J Fract 64, 179–190 (1993). https://doi.org/10.1007/BF00015770
Received:
Accepted:
Issue Date:
DOI: https://doi.org/10.1007/BF00015770