An analytical study investigating the local buckling response of a circular delamination along the interface of an elastic layer and a dissimilar substrate with finite thickness is presented. The solution method utilizes the stability equations of linear theory of elasticity under axisymmetry conditions. In-plane loading and the presence of mixed boundary conditions on the bond-plane result in a homogeneous system of coupled singular integral equations of the second kind with Cauchy-type kernels. Numerical solution of these integral equations leads to the determination of local buckling stress and its sensitivity to geometric parameters and material properties. [S0021-8936(00)01503-8]
Issue Section:
Technical Papers
1.
Argon
, A. S.
, Gupta
, V.
, Landis
, H. S.
, and Cornie
, J. A.
, 1989
, “Intrinsic Toughness of Interfaces Between SiC Coatings and Substrates of Si or C Fibre
,” J. Mater. Sci.
, 24
, pp. 1207
–1218
.2.
Madenci, E., 1987, “Local Delamination Buckling in Layered Structures,” Ph.D. thesis, University of California, Los Angeles, CA.
3.
Madenci
, E.
, and Westmann
, R. A.
, 1991
, “Local Delamination Buckling in Layered Systems
,” ASME J. Appl. Mech.
, 58
, pp. 157
–166
.4.
Madenci
, E.
, and Westmann
, R. A.
, 1993
, “Local Delamination Growth in Layered Systems Under Compressive Loads
,” ASME J. Appl. Mech.
, 60
, pp. 895
–902
.5.
Madenci
, E.
, 1991
, “Delamination Growth and Buckling in an Orthotropic Strip
,” Int. J. Solids Struct.
, 27
, pp. 1773
–1788
.6.
Wang
, W. X.
, and Takao
, Y.
, 1995
, “Load Buckling of a Layer Bonded to a Half-Space With an Interface Crack
,” ASME J. Appl. Mech.
, 62
, pp. 64
–70
.7.
Madenci
, E.
, Balkan
, H.
, and Quan
, M.
, 1995
, “Biaxial Comparison of a Thin Layer With a Circular Debonding Over a Substrate
,” Int. J. Solids Struct.
, 32
, pp. 3465
–3477
.8.
Flugge, W., 1972, Tensor Analysis and Continuum Mechanics, Springer-Verlag, New York.
9.
Harding
, J. W.
, and Sneddon
, I. N.
, 1945
, “The Elastic Stresses Produced by the Indentation of the Plane Surface of a Semi-Infinite Elastic Body by a Rigid Punch
,” Proc. Cambridge Philos. Soc.
, 41
, pp. 16
–26
.10.
Arin
, K.
, and Erdogan
, F.
, 1971
, “Penny-Shaped Crack in an Elastic Layer Bonded to Dissimilar Half Spaces
,” Int. J. Eng. Sci.
, 9
, pp. 213
–222
.11.
Muskhelishvilli, N. I., 1953, Singular Integral Equations, P. Noordhoff, Groningen, The Netherlands.
12.
Erdogan
, F.
, and Gupta
, G. D.
, 1972
, “On the Numerical Solution of Singular Integral Equations
,” Q. Appl. Math.
, 29
, pp. 525
–534
.13.
Miller
, G. R.
, and Keer
, L. M.
, 1985
, “A Numerical Technique for the Solution of Singular Integral Equations of the Second Kind
,” Q. Appl. Math.
, 43
, pp. 455
–465
.14.
Kabir
, H.
, Madenci
, E.
, and Ortega
, A.
, 1998
, “Numerical Solution of Integral Equations With Logarithmic Cauchy and Hadamard Type Singularities
,” Int. J. Numer. Methods Eng.
, 41
, pp. 617
–838
.15.
Evans
, A. G.
, and Hutchinson
, J. W.
, 1984
, “On the Mechanics of Delamination and Spalling in Compressed Films
,” Int. J. Solids Struct.
, 20
, pp. 455
–466
.16.
Timoshenko and Gere, 1961, Theory of Elastic Stability, McGraw-Hill, New York.
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