Abstract
A complex integral equation has been derived which describes the interaction of a crack with an interface crack as well as the limiting case of a kinked interface crack. With the help of this solution a model of the debonding process has been set up. Critical ratios of the energy release rates of the interface and the matrix material have been calculated for three different material combinations. These values can be used as estimates for interface design.
This is a preview of subscription content, log in via an institution to check access.
Similar content being viewed by others
References
J. Cook and J.E. Gordon, Proceedings of the Royal Society A 282 (1964) 508–520.
K.K. Lo, Journal of Applied Mechanics 45 (1978) 797–802.
K. Hayashi and S. Nemat-Nasser, International Journal of Solids and Structures 17 (1981) 107–114.
K. Hayashi and S. Nemat-Nasser, Transactions of the ASME 48 (1981) 520–524.
N.I. Muskhelishvili, Einige Grundaufgaben zur mathematischen Elastizitätstheorie, Hanser Verlag, West Germany, 5 ed. (1971).
J. Dundurs, in Mathematical Theory of Dislocations, T. Mura (ed.), ASME (1963).
A.H. England, Transactions of the ASME 32 (1965) 400–402.
A. Piva and E. Viola, Engineering Fracture Mechanics 13 (1980) 143–174.
J.R. Rice and G.C. Sih, Transactions of the ASME 32 (1965) 418–423.
F. Erdogan, Journal of Applied Mechanics 32 (1965) 403–410.
F. Erdogan, G. D. Gupta and T.S. Cook, in Mechanics of Fracture I, chapter 7, G.C. Sih (ed.), Noordhoff (1973).
F. Erdogan and G.D. Gupta, International Journal of Solids and Structures 7 (1971) 1089–1107.
B.M. Malyshev and R.L. Salganik, International Journal of Fracture Mechanics 1 (1965) 114–128.
M. Abramowitz and I.A. Stegun (eds), Handbook of Mathematical Functions, National Bureau of Standards, Dover Publications (1970).
J. Heitzer, “Analytical Description of the Generation and Growth of Kinked Interface Cracks,” (in German), doctoral thesis, Institut für Zuverlässigkeit und Schadenskunde im Maschinenbau der Universität Karlsruhe, 1988.
H. Tada, P. Paris and G. Irwin, The Stress Analysis of Cracks Handbook, Del Research, Hillertown, PA, USA (1973).
F. Erdogan and O. Aksogan, International Journal of Solids and Structures 10 (1974) 569–585.
N. Ashbaugh, International Journal of Fracture 11 (1975) 205–219.
D.B. Bogy, Journal of Applied Mechanics 38 (1971) 377–386.
Y. Murakami (ed.), Stress Intensity Factors Handbook, Vol. I. Pergamon Press (1986).
N.I. Muskhelishvili, Singular Integral Equations, Noordhoff, Groningen (1953).
E. Fitzer and R. Gadow, Bulletin of the American Ceramic Society 65 (1986) 326–335.
J.J. Brennan and R.C. Novak, Journal of Adhesion 5 (1973) 139–159.
J.D. Embury, N.J. Petch, A.E. Wraith and E.S. Wright, Transactions of the Metallurgical Society of AIME 239 (1967) 114–118.
D.B. Marshall and A.G. Evans, Journal of the American Ceramic Society 68 (1985) 225–231.
M. Amestoy, H.D. Bui and K. Dang Van, in Advances in Fracture Research, Oxford, Vol. 1 (1980).
J.G. Goree and W.A. Venezia, International Journal of Engineering Science 15 (1977) 1–17.
Author information
Authors and Affiliations
Rights and permissions
About this article
Cite this article
Heitzer, J. The interaction of a crack with an interface crack as a theoretical model for debonding. Int J Fract 46, 271–295 (1990). https://doi.org/10.1007/BF00037157
Received:
Accepted:
Issue Date:
DOI: https://doi.org/10.1007/BF00037157