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TECHNICAL PAPERS

Stress Intensity Factors for Finite Interface Cracks Between a Special Pair of Transversely Isotropic Materials

[+] Author and Article Information
V. Boniface, L. Banks-Sills

The Dreszer Fracture Mechanics Laboratory, Department of Solid Mechanics, Materials and Structures, The Fleischman Faculty of Engineering, Tel Aviv University, 69978 Ramat Aviv, Israel

J. Appl. Mech 69(3), 230-239 (May 03, 2002) (10 pages) doi:10.1115/1.1459067 History: Received March 10, 2000; Revised November 14, 2000; Online May 03, 2002
Copyright © 2002 by ASME
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References

Rice,  J. R., 1988, “Elastic Fracture Mechanics Concepts for Interfacial Cracks,” ASME J. Appl. Mech., 55, pp. 98–103.
Hutchinson, J. W., 1990, “Mixed-Mode Fracture Mechanics of Interfaces,” Metal-Ceramic Interface, M. Rühle, A. G. Evans, M. F. Ashby, and J. P. Hirth, eds., Pergamon Press, Oxford, pp. 295–301.
Bassani,  J. L., and Qu,  J., 1989, “Finite Crack on Bimaterial and Bicrystal Interfaces,” J. Mech. Phys. Solids, 37, pp. 434–453.
Qu,  J., and Bassani,  J. L., 1989, “Cracks on Bimaterial and Bicrystal Interfaces,” J. Mech. Phys. Solids, 37, pp. 417–434.
Suo,  Z., 1990, “Singularities, Interfaces and Cracks in Dissimilar Anisotropic Media,” Proc. R. Soc. London, Ser. A, 427, 331–358.
Ting, T. C. T., 1986, “Explicit Solution and Invariance of the Singularities at an Interface Crack in Anisotropic Composites,” International Journal of Solids and Structures, 22 , pp. 965–983.
Ting,  T. C. T., 1990, “Interface Cracks in Anisotropic Bimaterials,” J. Mech. Phys. Solids 38, pp. 505–513.
Ting,  T. C. T., 1992, “Interface Cracks on Anisotropic Elastic Bimaterials— A Decomposition Principle,” Int. J. Solids Struct., 29, pp. 1989–2003.
Banks-Sills, L., and Boniface, V., 2000, “Fracture Mechanics of an Interface Crack Between a Special Pair of Transversely Isotropic Materials,” Multi-Scale Deformation and Fracture in Materials and Structures, The James R. Rice 60th Anniversary Volume, to appear.
Stroh,  A. N., 1958, “Dislocations and Cracks in Anisotropic Elasticity,” Philos. Mag., 7, pp. 625–646.
Ting, T. C. T., 1996, Anisotropic Elasticity–Theory and Applications, Oxford University Press, Oxford.
Wang,  S. S., and Yau,  J. F., 1981, “Interfacial Cracks in Adhesively Bonded Scarf Joints,” AIAA J., 19, pp. 1350–1356.
Matos,  P. P. L., McMeeking,  R. M., Charalambides,  P. G., and Drory,  M. D., 1989, “A method for Calculating Stress Intensities in Bimaterial Fracture,” Int. J. Fract., 40, pp. 235–254.
Banks-Sills,  L., Travitzky,  N., Ashkenazi,  D., and Eliasi,  R., 1999, “A Methodology for Measuring Interface Fracture Properties of Composite Materials,” Int. J. Fract., 99, pp. 143–161.
Charalambides,  P. G., and Zhang,  W., 1996, “An Energy Method for Calculating the Stress Intensities in Orthotropic Bimaterial Fracture,” Int. J. Fract., 76, pp. 97–120.
Nakamura,  T., 1991, “Three-Dimensional Stress Fields of Elastic Interface Cracks,” ASME J. Appl. Mech., 58, pp. 939–946.
Nahta,  R., and Moran,  B., 1993, “Domain Integrals for Axisymmetric Interface Crack Problems,” Int. J. Solids Struct., 30, pp. 2027–2040.
Gosz,  M., Dolbow,  J., and Moran,  B., 1998, “Domain Integral Formulation for Stress Intensity Factor Computation Along Curved Three-Dimensional Interface Cracks,” International Journal of Solids and Structures, 35, pp. 1763–1783.
Muskhelishvili, N. I., 1953, Some Basic Problems of the Mathematical Theory of Elasticity, P. Noordhoff Ltd., Groningen, Holland, pp. 427–450.
Rice,  J. R., and Sih,  G. C., 1965, “Plane Problems of Cracks in Dissimilar Media,” ASME J. Appl. Mech., 32, pp. 418–423.
Murakami, Y., 1988, Stress Intensity Factors Handbook, Vol. 1, Pergamon Press, Oxford, p. 440.
Bathe, K. J., 1999, ADINA–Automatic Dynamic Incremental Nonlinear Analysis System, Version 7.3, Adina Engineering, Inc., USA.
Pagano, N., 1999, private communication.
Zienkiewicz,  O. C., and Zhu,  J. Z., 1992, “The Superconvergent Patch Recovery and a posteriori Error Estimates. Part 1: The Recovery Technique,” Int. J. Numer. Methods Eng., 33, pp. 1331–1364.
Thurston,  M. E., and Zehnder,  A. T., 1996, “Nickel-Alumina Interfacial Fracture Toughness: Experiments and Analysis of Residual Stress Effects,” Int. J. Fract., 76, pp. 221–241.
Ting,  T. C. T., and Hwu,  C., 1988, “Sextic Formalism in Anisotropic Elasticity for Almost Non-semisimple Matrix N ,” Int. J. Solids Struct., 24, pp. 65–76.
Yau,  J. F., Wang,  S. S., and Corten,  H. T., 1980, “A Mixed-Mode Crack Analysis of Isotropic Solids Using Conservation Laws of Elasticity,” ASME J. Appl. Mech., 47, pp. 335–341.
Shih,  C. F., and Asaro,  R. J., 1988, “Elastic-Plastic Analysis of Cracks on Bimaterial Interfaces: Part I—Small Scale Yielding,” ASME J. Appl. Mech., 55, pp. 299–316.
Banks-Sills,  L., and Sherman,  D., 1992, “On the Computation of Stress Intensity Factors for Three-Dimensional Geometries by Means of the Stiffness Derivative and J-Integral Methods,” Int. J. Fract., 53, pp. 1–20.

Figures

Grahic Jump Location
Crack in a transversely isotropic bimaterial system
Grahic Jump Location
A finite interface crack (a) schematic diagram, (b) finite element mesh
Grahic Jump Location
Infinite array of collinear interface cracks (a) schematic diagram, (b) finite element mesh

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