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BRIEF NOTES

Analysis of the M-Integral in Plane Elasticity

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

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

Kang Yong Lee

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

J. Appl. Mech 71(4), 572-574 (Sep 07, 2004) (3 pages) doi:10.1115/1.1748271 History: Received July 12, 2001; Revised December 13, 2003; Online September 07, 2004
Copyright © 2004 by ASME
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References

Rice,  J. R., 1968, “A Path-Independent Integral and the Approximation Analysis of Strain Concentration by Notches and Cracks,” ASME J. Appl. Mech., 35, pp. 379–386.
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Bui,  H. D., 1974, “Dual Path Independent Integrals in the Boundary-Value Problems of Cracks,” Eng. Fract. Mech., 6, pp. 287–296.
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Eshelby,  J. D., 1951, “The Force on an Elastic Singularity,” Philos. Trans. R. Soc. London, Ser. A, A244, pp. 87–112.
Chen,  Y. Z., 1985, “A Technique for Evaluating the Stress Intensity Factors by Means of the M-Integral,” Eng. Fract. Mech., 23, pp. 777–780.
Suo,  Z., 2000, “Zener’s Crack and the M-integral,” ASME J. Appl. Mech., 67, pp. 417–418.
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.
Muskhelishvili, N. I., 1953, Some Basic Problems of Mathematical Theory of Elasticity, Noordhoff, Netherlands.
Chen,  Y. Z., and Lee,  K. Y., 2002, “Some Properties of J-Integral in Plane Elasticity,” ASME J. Appl. Mech., 69, pp. 195–198.
Chen,  Y. Z., 2003, “Analysis of L-Integral and Theory of the Derivative Stress Field in Plane Elasticity,” Int. J. Solids Struct., 40, pp. 3589–3602.

Figures

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

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