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BRIEF NOTES

Some Properties of J-Integral in Plane Elasticity

[+] Author and Article Information
Y. Z. Chen

Division of Engineering Mechanics, Jiangsu University, Zhenjiang, Jiangsu 212013, P. R. China

K. Y. Lee

Department of Mechanical Engineering, Yonsei University, Seoul 120-749, South Korea

J. Appl. Mech 69(2), 195-198 (Sep 06, 2001) (4 pages) doi:10.1115/1.1432663 History: Received April 24, 2001; Revised September 06, 2001
Copyright © 2002 by ASME
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References

Rice, J. R., 1968, Fracture: An Advanced Treatise, Vol. 2, H. Liebowitz, ed., Academic Press, San Diego, CA.
Rice,  J. R., 1968, “A Path-Independent Integral and the Approximate Analysis of Strain Concentration by Notches and Cracks,” ASME J. Appl. Mech., 35, pp. 379–386.
Cherepanov, G. P., 1979, Mechanics of Brittle Fracture, McGraw-Hill, New York.
Budiansky,  B., and Rice,  J. R., 1973, “Conservation Laws and Energy-Release Rates,” ASME J. Appl. Mech., 40, pp. 201–203.
Knowles,  J. K., and Sternberg,  E., 1972, “On a Class of Conservation Laws in Linearized and Finite Elastostatics,” Arch. Ration. Mech. Anal., 44, pp. 187–211.
Freund,  L. B., 1978, “Stress Intensity Factor Calculation Based on a Conservation Integral,” Int. J. Solids Struct., 14, pp. 241–250.
Herrmann,  A. G., and Herrmann,  G., 1981, “On Energy-Release Rates for a Plane Crack,” ASME J. Appl. Mech., 48, pp. 525–530.
Chen,  Y. Z., 1985, “New Path Independent Integrals in Linear Elastic Fracture Mechanics,” Eng. Fract. Mech., 22, pp. 673–686.
Chen,  Y. Z., and Hasebe,  Norio, 1994, “Eigenfunction Expansion and Higher Order Weight Functions of Interface Cracks,” ASME J. Appl. Mech. 61, pp. 843–849.
Chen,  Y. H., and Hasebe,  Norio, 1998, “A Consistency Check for Strongly Interaction Multiple Crack Problems in Isotropic, Bimaterial, and Orthotropic Bodies,” Int. J. Fract., 89, pp. 333–353.
Chen,  Y. H., 2001, “M-Integral Analysis for Two Dimensional Solids With Strongly Interacting Microcracks. Part I: In an Infinite Brittle Solid,” Int. J. Solids Struct., 38, pp. 3193–3212.
Eshelby,  J. D., 1951, “The Force on an Elastic Singularity,” Philos. Trans. R. Soc. London, Ser. A, A244, pp. 87–112.
Muskhelishvili, N. I., 1953, Some Basic Problems of Mathematical Theory of Elasticity, Noordhoof, The Netherlands.

Figures

Grahic Jump Location
An infinite plate containing cracks, holes, and inclusions

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