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TECHNICAL PAPERS

Local Buckling of a Circular Interface Delamination Between a Layer and a Substrate With Finite Thickness

[+] Author and Article Information
R. Sburlati

Dipartimento di Ingegneria Strutturale e Geotecnica, Universita’ di Genova, Via Montallegro, 1-16145, Italy

E. Madenci, I. Guven

Department of Aerospace and Mechanical Engineering, The University of Arizona, Tucson, AZ 85721

J. Appl. Mech 67(3), 590-596 (Nov 07, 1999) (7 pages) doi:10.1115/1.1309547 History: Received April 21, 1999; Revised November 07, 1999
Copyright © 2000 by ASME
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References

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.
Madenci, E., 1987, “Local Delamination Buckling in Layered Structures,” Ph.D. thesis, University of California, Los Angeles, CA.
Madenci,  E., and Westmann,  R. A., 1991, “Local Delamination Buckling in Layered Systems,” ASME J. Appl. Mech., 58, pp. 157–166.
Madenci,  E., and Westmann,  R. A., 1993, “Local Delamination Growth in Layered Systems Under Compressive Loads,” ASME J. Appl. Mech., 60, pp. 895–902.
Madenci,  E., 1991, “Delamination Growth and Buckling in an Orthotropic Strip,” Int. J. Solids Struct., 27, pp. 1773–1788.
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.
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.
Flugge, W., 1972, Tensor Analysis and Continuum Mechanics, Springer-Verlag, New York.
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.
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.
Muskhelishvilli, N. I., 1953, Singular Integral Equations, P. Noordhoff, Groningen, The Netherlands.
Erdogan,  F., and Gupta,  G. D., 1972, “On the Numerical Solution of Singular Integral Equations,” Q. Appl. Math., 29, pp. 525–534.
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.
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.
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.
Timoshenko and Gere, 1961, Theory of Elastic Stability, McGraw-Hill, New York.

Figures

Grahic Jump Location
A circular delamination along the interface of an elastic layer and a dissimilar substrate
Grahic Jump Location
Search procedure for the buckling stress
Grahic Jump Location
Effect of delamination length to thickness ratio on buckling stress—similar materials. (Information contained in this figure came from Madenci and Westmann 3 and Timo- shenko and Gere 16.)
Grahic Jump Location
Effect of delamination length to thickness ratio on buckling stress—dissimilar materials
Grahic Jump Location
Effect of modulus ratio on buckling stress—dissimilar materials

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