First, this paper presents the concepts of separated J-integrals and separated energy release rates. The path-independent separated J-integrals have the physical significance of energy flows into an interfacial crack tip from adjacent individual material sides or, equivalently, separated energy release rates. Thus, the J-integral and the energy release rate can be evaluated by the sum of the path-independent separated J-integrals. Second, the relations between the separated J-integrals and the stress intensity factors are derived. Third, the component separation method of the J-integral is extended for interfacial crack problems to allow accurate evaluation of the stress intensity factors. Finally, pertinent numerical analyses are carried out to demonstrate the usefulness of the separated J-integrals and the component separation method.
Issue Section:
Technical Papers
1.
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
.2.
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
.3.
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.
4.
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
.5.
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
.6.
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
.7.
Nishioka
, T.
, 1994
, “The State of the Art in Computational Dynamic Fracture Mechanics
,” JSME Int. J., Ser. A
, 37
, pp. 313
–333
.8.
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.
9.
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.
10.
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
.11.
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
.12.
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
.13.
Malyshev
, B.
, and Salganik
, R.
, 1965
, “The Strength of Adhesive Joints Using the Theory of Cracks
,” Int. J. Fract. Mech.
, 1
, pp. 114
–119
.14.
Willis
, J. R.
, 1971
, “Fracture Mechanics of Interfacial Cracks
,” J. Mech. Phys. Solids
, 19
, pp. 353
–368
.15.
Yuuki, et al., 1993, Mechanics of Interface, Baifukan, pp. 103–105 (in Japanese).
16.
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
.17.
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
.18.
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
R55–R59
.19.
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
.20.
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
.Copyright © 2003
by ASME
You do not currently have access to this content.
