Abstract
A semi-infinite interface crack between two infinite isotropic elastic layers under general edge loading conditions is considered. The problem can be solved analytically except for a single real scalar independent of loading, which is then extracted from the numerical solution for one particular loading combination. Two applications of the basic solution are made which illustrate its utility: interface cracking driven by residual stress in a thin film on a substrate, and an analysis of a test specimen proposed recently for measuring interface toughness.
Résumé
On considère une fissure d'interface semi-infinie entre deux couches infinies élastiques et isotropes soumises à des conditions générales de sollicitations sur leurs bords. Le problème peut être solutionné par voie analytique, à l'exception d'un scalaire réel simple, indépendant de la charge, qui est extrait de la solution numérique relative à une combinaison particulière des sollicitations.
On procède à deux applications de la solution de base qui illustrent son utilité: l'une est relative à une fissure d'interface soumise aux tensions résiduelles dans un film mince déposé sur un substrat. L'autre est l'analyse d'une éprouvette d'essai proposée récemment pour mesurer la ténacité de l'interface.
Similar content being viewed by others
References
M.D.Thouless, A.G.Evans, M.F.Ashby and J.W.Hutchinson, Acta Metallurgica 35 (1987) 1333–1341.
M.S.Hu, M.D.Thouless and A.G.Evans, Acta Metallurgica 36 (1988) 1301–1307.
M.D.Drory, M.D.Thouless and A.G.Evans, Acta Metallurgica 36 (1988) 2019–2028.
Z. Suo and J.W. Hutchinson, Steady-state Cracking in Brittle Substrates beneath Adherent Films, Harvard University Report MECH-132 (1988), to appear in International Journal of Solids and Structures.
P.G.Charalambides, J.Lund, A.G.Evans and R.M.McMeeking, Journal of Applied Mechanics 56 (1989) 77–82.
J.R.Rice, Journal of Applied Mechanics 55 (1988) 98–103.
J.Dundurs, in Mathematical Theory of Dislocations, American Society of Mechanical Engineering, New York (1969) 70–115.
J.W.Hutchinson, M.E.Mear and J.R.Rice, Journal of Applied Mechanics 54 (1987) 828–832.
G.P.Cherepanov, Mechanics of Brittle Fracture, Chapter 9, McGraw-Hill, New York (1979).
M.B.Civelek, in Fracture Mechanics: Sixteenth Symposium, STP 868, M.F.Kanninen and A.T.Hopper (eds.), American Society for Testing and Materials, Philadelphia (1985) 7–26.
M.Y. He and J.W. Hutchinson, Kinking of a Crack Out of an Interface, Harvard University Report MECH-113 (1988), to appear in Journal of Applied Mechanics.
Author information
Authors and Affiliations
Rights and permissions
About this article
Cite this article
Suo, Z., Hutchinson, J.W. Interface crack between two elastic layers. Int J Fract 43, 1–18 (1990). https://doi.org/10.1007/BF00018123
Received:
Accepted:
Issue Date:
DOI: https://doi.org/10.1007/BF00018123