Abstract
An analysis of a crack lying along an interface between two elastically dissimilar quarter-planes, and breaking the free surface is given. The method of distributed dislocations is employed and the nominal stress field is taken to be uniform along the length of the line of the crack. Models for crack tip behaviour are discussed and it is shown that a simplified quadrature can be used to extract the crack extension force for cases where small-scale contact obtains. Values of the crack extension force are given, displayed on the α, β diagram.
This is a preview of subscription content, log in via an institution to check access.
Similar content being viewed by others
References
M. Comninou, Journal of Applied Mechanics 44 (1977) 631–636.
A.K. Gautesen and J. Dundurs, Journal of Applied Mechanics 54 (1987) 93–98.
D.B. Bogy, International Journal of Solids and Structures 6 (1970) 1287–1313.
M. Comninou, Journal of Applied Mechanics 45 (1978) 287–290.
R. Yuuki and S.-B. Cho, Engineering Fracture Mechanics 34–1 (1989) 179–188.
R. Yuuki and J.-Q. Xu, in Boundary Element Methods: Principles and Applications, Tanaka and Du (eds.) Pergamon (1990) 21–30.
P.P.L. Matos, R.M. McMeeking, P.G. Charalambides and M.D. Drory, International Journal of Fracture 40 (1989) 235–254.
Zhigang Suo, Proceedings Royal Society London A 427 (1990) 331–358.
P.A. Kelly, D.A. Hills and D. Nowell, Journal of Strain Analysis 27–1 (1992) 15–20.
J. Dundurs, Journal of Applied Mechanics 36 (1969) 650–652.
P.A. Kelly, D.A. Hills and D. Nowell, Journal of Applied Mechanics 60 (1993) 743–748.
D.B. Bogy, Journal of Applied Mechanics 42 (1975) 93–98.
V.K. Tewary, R.H. Wagoner and J.P. Hirth, Journal of Materials Research 4–1 (1989) 124–136.
M.L. Williams, Bulletin of the Seismological Society of America 49–2 (1959) 199–204.
A.H. England, Journal of Applied Mechanics 32 (1965) 400–402.
J.R. Rice, Journal of Applied Mechanics 55 (1988) 98–103.
N. Aravas and N.S. Sharma, Journal of the Mechanics and Physics of Solids 39–3 (1991) 311–344.
M.L. Williams, Journal of Applied Mechanics 24 (1957) 109–114.
P.S. Theocaris, Acta Mechanica 24 (1976) 99.
D.A. Hills and J.R. Barber, International Journal of Mechanical Sciences 35–1 (1993) 27–37.
F. Erdogan, G.D. Gupta and T.S. Cook, in Methods of Analysis and Solutions of Crack Problems, G.C. Sih (ed.) Noordhoff, Leyden (1973) 368–425.
S. Krenk, Quarterly of Applied Mathematics 32 (1975) 479–484.
D. Nowell and D.A. Hills, Journal of Strain Analysis 22 (1987) 177–185.
Author information
Authors and Affiliations
Rights and permissions
About this article
Cite this article
Kelly, P., Nowell, D. & Hills, D.A. The edge interface crack. Int J Fract 67, 263–271 (1994). https://doi.org/10.1007/BF00016263
Received:
Accepted:
Issue Date:
DOI: https://doi.org/10.1007/BF00016263