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TECHNICAL PAPERS

Concepts of Separated J-Integrals, Separated Energy Release Rates, and the Component Separation Method of the J-Integral for Interfacial Fracture Mechanics

[+] Author and Article Information
T. Nishioka, S. Syano, T. Fujimoto

Department of Ocean Mechanical Engineering, Kobe University of Mercantile Marine, 5-1-1 Fukae Minamimachi, Higashinada-ku, Kobe 658-0022, Japan

J. Appl. Mech 70(4), 505-516 (Aug 25, 2003) (12 pages) doi:10.1115/1.1576803 History: Received May 31, 2001; Revised December 19, 2002; Online August 25, 2003
Copyright © 2003 by ASME
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References

Nishioka,  T., and Yasin,  A., 1999, “The Dynamic J Integral, Separated Dynamic J Integrals and Moving Finite Element Simulation, for Subsonic, Transonic and Supersonic Interfacial Crack Propagation,” JSME Int. J., Ser. A, 42, pp. 25–39.
Nishioka,  T., and Atluri,  S. N., 1983, “Path-Independent Integrals, Energy Release Rates, and General Solutions of Near-Tip Fields in Mixed-Mode Dynamic Fracture Mechanics,” Eng. Fract. Mech., 18, pp. 1–22.
Nishioka, T., and Yasin, A., 1999, “Finite Element Simulations of Impact Interfacial Fracture Problems,” Impact Response of Materials and Structures, V. P. W. Shim, S. Tanimura, and C. T. Lim, Eds., Oxford University Press, New York, pp. 426–431.
Rice,  J. R., 1968, “A Path Independent Integral and Approximate Analysis of Strain Concentration by Notches and Cracks,” ASME J. Appl. Mech., 35, pp. 379–386.
Sun,  C. T., and Jih,  C. J., 1987, “On Strain Energy Release Rates for Interfacial Cracks in Bi-Material Media,” Eng. Fract. Mech., 28, pp. 13–20.
Nishioka,  T., Murakami,  R., and Takemoto,  Y., 1990, “The Use of the Dynamic J Integral (J′ ) in Finite Element Simulation of Mode I and Mixed-Mode Dynamic Crack Propagation,” Int. J. Pressure Vessels Piping, 44, pp. 329–352.
Nishioka,  T., 1994, “The State of the Art in Computational Dynamic Fracture Mechanics,” JSME Int. J., Ser. A, 37, pp. 313–333.
Nishioka, T., 1998, “On the Dynamic J Integral in Dynamic Fracture Mechanics,” Fracture: A Topical Encyclopedia of Current Knowledge, G. P. Cherepanov, ed., Krieger, Melbourne, FL, pp. 575–617.
Nishioka, T., Hu, Q. H., and Fujimoto, T., 2001, “Numerical Simulations of Dynamic Interfacial Fracture Phenomena,” Proceedings of the 10th International Conference on Fracture, Honolulu, HI, Dec. 3–7, Elsevier, New York.
Yau,  J. F., and Wang,  S. S., 1984, “An Analysis of Interface Cracks Between Dissimilar Isotropic Materials Using Conservation Integrals in Elasticity,” Eng. Fract. Mech., 20, pp. 423–432.
Yuuki,  R., and Cho,  S. B., 1989, “Efficient Boundary Element Analysis of Stress Intensity Factors for Interface Cracks in Dissimilar Materials,” Eng. Fract. Mech., 34, pp. 179–188.
Shih,  C. F., and Asaro,  R. J., 1988, “Elastic-Plastic Analysis of Cracks in Bimaterial Interface: Part I—Small Scale Yielding,” ASME J. Appl. Mech., 55, pp. 299–316.
Malyshev,  B., and Salganik,  R., 1965, “The Strength of Adhesive Joints Using the Theory of Cracks,” Int. J. Fract. Mech., 1, pp. 114–119.
Willis,  J. R., 1971, “Fracture Mechanics of Interfacial Cracks,” J. Mech. Phys. Solids, 19, pp. 353–368.
Yuuki, et al., 1993, Mechanics of Interface, Baifukan, pp. 103–105 (in Japanese).
Ikeda,  T., Miyazaki,  M., Soda,  T., and Munakata,  T., 1992, “Mixed Mode Fracture Criteria of Interface Crack Between Dissimilar Materials,” Trans. Jpn. Soc. Mech. Eng., 58A, pp. 2080–2087.
Yuuki,  R., and Cho,  S. B., 1989, “Efficient Boundary Element Analysis of Stress Intensity Factors for Interface Cracks in Dissimilar Materials,” Eng. Fract. Mech., 34, pp. 179–188.
Richard,  H. A., and Benitz,  K., 1983, “A Loading Device for the Creation of Mixed Mode in Fracture Mechanics,” Int. J. Fract., 22, pp. R55–R59.
Kishimoto,  K., Fukano,  H., Yoshida,  T., and Aoki,  S., 1990, “Elastic-Plastic Fracture Behavior of an Aluminum Alloy Under Mixed Mode Conditions,” Trans. Jpn. Soc. Mech. Eng., 56A, pp. 957–965.
Fujimoto,  T., and Tomita,  Y., 1998, “Modeling and Simulation of Response of Particulate-Reinforced Composite Materials Under a Plane Strain Condition,” Trans. Jpn. Soc. Mech. Eng., 64A, pp. 2694–2700.

Figures

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An interfacial crack in a nonhomogeneous material
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Definition of integral paths for an interfacial crack
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A bimaterial with an interfacial crack
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Semicircular near-field paths for the separated J-integrals
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Crack opening displacements
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An interfacial crack in an infinite bimaterial plate
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Finite element mesh pattern around the crack tip
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A central interface crack in a bimaterial plate
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Finite element model for a finite bimaterial plate
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Variation of normalized stress intensity factor with evaluating location (homogeneous plate)
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Variation of normalized stress intensity factor with evaluating location (bimaterial plate)
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Compact normal and shear specimen
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Finite element model for a CNS specimen
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Variation of normalized stress intensity factor with evaluating location (homogeneous CNS specimen)
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Stress intensity factors versus loading angle (homogeneous material)
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Variation of normalized stress intensity factor with evaluating location (bimaterial CNS specimen)
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Stress intensity factors versus loading angle (nonhomogeneous material)
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Fiber-reinforced composite material
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Curved interfacial cracks around the SiC fiber
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Finite element mesh pattern for the fiber-reinforced composite material
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Mesh pattern around the crack tip
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Path independence of the separated J-integrals
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Variation of stress intensity factor with evaluating location (fiber-reinforced composite)

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