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The J-Integral as a Fracture Criterion for Composite Materials

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Composite Structures 2

Abstract

Fracture behaviour of randomly oriented short glass fibre reinforced epoxy resin has been investigated. Fracture tests were conducted on single edge notched specimens and the J-integral evaluated using energy rate interpretation. Its value is found to be independent of crack length when crack length-to-specimen width ratio (a/w) is larger than 0·35. For smaller cracks, general material damage away from the crack tip also influences the energy absorbed significantly. An extrapolation method has been developed to separate the crack tip energy from the energy absorbed due to general material damage. The J-integral thus obtained is independent of crack length and specimen length and its critical value is the same as obtained for a/w > 0·35 without extrapolation. It also agrees well with the critical stress intensity factor obtained in an earlier study using the R-curve approach.

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References

  1. Gaggar, S. K. and Broutman, L. J., Crack growth resistance of random fibre composites, J. Comp. Mater., 9, 1975, 216–227.

    Article  CAS  Google Scholar 

  2. Gaggar, S. K. and Broutman, L. J., Strength and fracture properties of random fibre polyester composites, Fibre Sci. Tech., 9, 1976, 205–224.

    Article  Google Scholar 

  3. Agarwal, B. D. and Giare, G. S., Crack growth resistance of short fibre composites: I-influence of fibre concentration, specimen thickness and width, Fibre Sci. Tech., 15, No. 4, 1981, 283–298.

    Article  Google Scholar 

  4. Agarwal, B. D. and Giare, G. S., Crack growth resistance of short fibre composites: II-influence of test temperature, Fibre Sci. Tech., 16, No. 1, 1982, 19–28.

    Article  Google Scholar 

  5. Agarwal, B. D. and Giare, G. S., Effect of matrix properties on fracture toughness of short fibre composites, Mater. Sci. Eng., 52, No. 2, 1982, 139–145.

    Article  CAS  Google Scholar 

  6. Agarwal, B. D. and Giare, G. S., Fracture toughness of short fiber composites in modes II and III, Engng Fract. Mech., 15, No. 1–2, 1981, 219–230.

    Article  Google Scholar 

  7. Sih, G. C., Hilton, P. D., Badalliance, R., Shenberger, P. S. and Villarreal, G., Fracture mechanics for fibrous composites, Analysis of the Test Method for High Modulus Fibers and Composites, ASTM STP 521, American Society for Testing and Materials, Philadelphia, 1973, pp. 98–132.

    Google Scholar 

  8. Mandell, J. F., Wang, S. S. and Mcgarry, F. J., The extension of crack tip damage zones in fiber reinforced plastic laminates, J. Comp. Mater., 9, No. 2, 1975, 266.

    Article  CAS  Google Scholar 

  9. Yeow, Y. J., Morris, D. H. and Brinson, H. F., The fracture behaviour of graphite/epoxy laminates, Exp. Mech., 19, No. 9, 1979, 1–8.

    Article  Google Scholar 

  10. Morris, D. H. and Hahn, H. T., Fracture resistance characterization of graphite/epoxy composites, in: Composite Materials Testing and Design (Fourth Conference), ASTM STP 617, American Society for Testing and Materials, Philadelphia, 1977, pp. 5–17.

    Google Scholar 

  11. Awerbuch, J. and Hahn, H. T., Kcalibration of unidirectional metal matrix composites, J. Comp. Mater., 12, 1978, 222–237.

    Article  CAS  Google Scholar 

  12. Bathias, C., Esnault, R. and Pellas, J., Application of fracture mechanics to graphite fibre-reinforced composites, Composites, 12, July 1981, 195–200.

    Article  Google Scholar 

  13. Rice, J. R., A path independent integral and the approximate analysis of strain concentration by notches and cracks, J. appl. Mech., 35, 1968, 379–386.

    Article  Google Scholar 

  14. Broberg, K. B., Crack growth criteria and non-linear fracture mechanics, J. Mech. Phys. Solids, 19, 1971, 407–418.

    Article  Google Scholar 

  15. Rice, J. R. and Rosengren, G. F., Planestrain deformation near a crack tip in a power law hardening material, J. Mech. Phys. Solids, 16, 1968, 1–12.

    Article  Google Scholar 

  16. Hutchinson, J. W., Singular behaviour at the end of a tensile crack in a hardening material, J. Mech. Phys. Solids, 16, 1968, 13–31.

    Article  Google Scholar 

  17. Mcclintock, F., Plasticity aspects of fracture, Fracture, Chap. 2, Vol. III (ed. H. Liebowitz), Academic Press, New York, 1971, pp. 47–225.

    Google Scholar 

  18. Begley, J. A. and Landes, J. D., The J integral as a fracture criterion, in: Fracture Toughness, ASTM STP 514, American Society for Testing and Materials, Philadelphia, 1972, pp. 1–20.

    Google Scholar 

  19. Landes, J. D. and Begley, J. A., The effect of specimen geometry on J IC, in: Fracture Toughness, ASTM STP 514, American Society for Testing and Materials, Philadelphia, 1972, pp. 24 - 39.

    Google Scholar 

  20. Landes, J. D. and Begley, J. A., Recent developments in J Ictesting, in: Developments in Fracture Mechanics Test Methods Standardization, ASTM STP 632, American Society for Testing and Materials, Philadelphia, 1977, pp. 57–81.

    Google Scholar 

  21. Rice, J. R., Mathematical analysis in the mechanics of fracture, in: Fracture, Chap. 3, Vol. II (ed. H. Liebowitz ), Academic Press, New York, 1968, pp. 191–311.

    Google Scholar 

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© 1983 Applied Science Publishers Ltd

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Agarwal, B.D., Kumar, P., Patro, B.S. (1983). The J-Integral as a Fracture Criterion for Composite Materials. In: Marshall, I.H. (eds) Composite Structures 2. Springer, Dordrecht. https://doi.org/10.1007/978-94-009-6640-6_34

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  • DOI: https://doi.org/10.1007/978-94-009-6640-6_34

  • Publisher Name: Springer, Dordrecht

  • Print ISBN: 978-94-009-6642-0

  • Online ISBN: 978-94-009-6640-6

  • eBook Packages: Springer Book Archive

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