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
Your Session has timed out. Please sign back in to continue.


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.
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.
Budiansky,  B., and Rice,  J. R., 1973, “Conservation Laws and Energy-Release Rates,” ASME J. Appl. Mech., 40, pp. 201–203.
Fruend,  L. B., 1978, “Stress Intensity Factor Calculation Based on a Conservation Integral,” Int. J. Solids Struct., 14, pp. 241–250.
Herrmann,  A. G., and Hermann,  G., 1981, “On Energy-Release Rates for a Plane Crack,” ASME J. Appl. Mech., 48, pp. 525–528.
Bui,  H. D., 1974, “Dual Path Independent Integrals in the Boundary-Value Problems of Cracks,” Eng. Fract. Mech., 6, pp. 287–296.
Chen,  Y. Z., 1985, “New Path Independent Integrals in Linear Elastic Fracture Mechanics,” Eng. Fract. Mech., 22, pp. 673–686.
Cherepanov, G. P., 1979, Mechanics of Brittle Fracture, McGraw-Hill, New York.
Kanninen, M. F., and Popelar, C. H., 1985, Advanced Fracture Mechanics, Oxford University Press, Oxford, UK.
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.


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




Some tools below are only available to our subscribers or users with an online account.

Related Content

Customize your page view by dragging and repositioning the boxes below.

Related Journal Articles
Related eBook Content
Topic Collections

Sorry! You do not have access to this content. For assistance or to subscribe, please contact us:

  • TELEPHONE: 1-800-843-2763 (Toll-free in the USA)
  • EMAIL: asmedigitalcollection@asme.org
Sign In