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The elastic-plastic mechanics of crack extension

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Abstract

This paper briefly reviews progress in the elastic plastic analysis of crack extension. Analytical results for plane strain and plane stress deformation fields are noted, and elastic-plastic fracture instability as well as transitional behavior and combined rate and thermal effects are discussed.

Résumé

Le mémoire décrit brièvement les progrès réalisés dans l'analyse élasto-plastique de l'extension d'une fissure.

Les résultats analytiques pour les champs de déformation en état plan de tension et en état plan de déformation sont discutés. On étudie également le comportement de transition ainsi que les effets combinés de la vitesse et de la température.

Zusammenfassung

In dieser Abhandlung wind kurz der Erfolg von elastisch-plastischen Analysen bei Rissausdehnung. Es wurden analytische Ergehnisse für planierte Anspannungsverformungsfelder und planierte Druckverformungsfelder festgestellt. Ausserdem wurden elastisch-plastische Frakturunbeständigkeit, Übergangsverhalten und Mass- und Thermaleffekte diskutiert.

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References

  1. F. A. McClintock and G. R. Irwin, ‘Plasticity Aspects of Fracture Mechanics’, In Symp. on Fracture Toughness Testing and Applications, ASTM-STP-381,1965.

  2. J. R. Rice, “The Mechanics of Crack Tip Deformation and Extension by Fatigue”, in Symp. on Fatigue Crack Growth, ASTM-STP-415, 1967.

  3. J. R. Rice, ‘A Path Independent Integral and the Approximate Analysis of Strain Concentration by Notches and Cracks’, Brown Univ. ARPA SD-86 Report E39, May 1967.

  4. J. R. Rice and G. F. Rosengren, ‘Plane Strain Deformation Neara Crack Tip in a Power Law Hardening Material’, July 1967, to appear in J. Mech. Phys. Sol.

  5. J. W. Hutchinson, ‘Singular Behavior at the End of a Tensile Crack in a Hardening Material’, July 1967, to appear in J. Mech. Phys. Sol.

  6. J. R. Rice, ‘Mathematical Analysis in the Mechanics of Fracture’, Aug. 1967, to appear as chapter of Treatise on Fracture, (ed. H. Liebowitz), Academic Press.

  7. A.J. Wang, ‘Plastic Flow in a Deeply Notched Bar With a Semi-circular Root’, Quart. Appl. Math., vol. XI, 1953.

  8. D. C. Drucker, ‘A Continuum Approach to the Fracture of Metals’, in Fracture of Solids (eds. Drucker and Gilman), Wiley, 1963.

  9. B. A. Bilby, A. H. Cottrell, and K.H. Swinden, ‘The Spread of Plastic Yield From a Notch’, Proc. Roy. Soc. A., vol. 272, 1963.

  10. A. A. Wells, ‘Application of Fracture Mechanics at and Beyond General Yielding’, Brit. Weld. Jour., Nov. 1963.

  11. J. R. Rice, ‘Stresses Due to a Sharp Notch in a Work Hardening Elastic-Plastic Material Loaded by Longitudinal Shear’, Jour. Appl. Mech., vol. 34, 1967.

  12. J. L. Swedlow, W. H. Yang, and M.L. Williams, ‘Elasto-Plastic Stresses and Strains in Cracked Plates’, in Proc. Int'l. Conf. on Fracture (1965), vol. 1, Sendai, 1966.

  13. D. S. Dugdale, ‘The Yielding of Steel Sheets Containing Slits’, Jour. Mech. Phys. Sol., vol.8, 1960.

  14. A. R. Rosenfield, P. K. Dai, and G.T. Hahn, ‘Crack Extension and Propagation Under Plane Stress’, in Proc. Int'l Conf on Fracture (1965), vol. 1, Sendai, 1966.

    Google Scholar 

  15. W. W. Gerberich, ‘Plastic Strains and Energy Density in Cracked Plates: 1. Experimental Techniques and Results’, Exper. Mech., vol. 4, 1964.

  16. F. A. McClintock, ‘Ductile Fracture Instability in Shear’, Jour. Appl. Mech., vol. 25, 1958.

  17. J. M. Krafft, A. M. Sullivan, andR. W. Boyle, ‘Effect of Dimensions on Fast Fracture Instability of Notched Sheets’, in Proc. Crack Propagation Symp., Cranfield College of Aeronautics, Sept. 1961.

  18. C. Mylonas, ‘The Mechanics of Brittle Fracture’, in Proc. Eleventh Int'l. Congr. Appl. Mech., Munich, 1964.

  19. J. Eftis and J. M. Krafft, ‘A Comparison of the Initiation With the Rapid Propagation of a Crack in a Mild Steel Plate’, J. Basic Engr., vol. 87, 1965.

  20. A. R. Rosenfield and G. T. Hahn, Intern. Jour. Fract. Mech., Vol. 4, 1968.

  21. G. I. Barenblatt, Intern. Jour. Fract. Mech., Vol. 4, 1968.

  22. D. Broek, Intern. Jour. Fract. Mech., Vol. 4, 1968.

  23. E. Smith, Intern. Jour. Fract. Mech., Vol. 4, 1968.

  24. A. S. Tetelman, Intern. Jour. Fract. Mech., Vol. 4, 1968.

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Authors and Affiliations

  1. Brown University, Providence, USA

    James R. Rice

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  1. James R. Rice
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Rice, J.R. The elastic-plastic mechanics of crack extension. Int J Fract 4, 41–47 (1968). https://doi.org/10.1007/BF00189145

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  • DOI: https://doi.org/10.1007/BF00189145

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