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Displacement control crack-growth instability in an elastic-softening material

Part I Linear elastic analysis for bend specimen configuration

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Abstract

The criterion for a cusp catastrophe type of crack-growth instability in an elastic-softening material that is subjected to displacement control loading conditions has been investigated. Attention was focused on the behaviour of a material whose softening-zone size was very small in comparison with a solid's characteristic dimensions, because this facilitates a simple linear elastic analysis. Special consideration was given to the behaviour of an edge-cracked solid that was subjected to bending deformation, and the results complement those obtained by Carpinteri, who analysed the behaviour of an elastic-softening material which had a very large softening-zone size.

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References

  1. B. S. Majumdar, A. R. Rosenfield and W. H. Duckworth, Engng Fract. Mech. 31 (1988) 683.

    Article  Google Scholar 

  2. R. M. L. Foote, Y. W. Mai and B. Cotterell, J. Mech. Phys. Solids 34 (1986) 593.

    Article  Google Scholar 

  3. E. Smith, Theor. Appl. Fract. Mech. 11 (1989) 59.

    Article  Google Scholar 

  4. Idem, ibid. 11 (1989) 65.

    Article  Google Scholar 

  5. Idem, Engng Fract. Mech. 37 (1990) 259.

    Article  Google Scholar 

  6. Idem, Theor. Appl. Fract. Mech. 17 (1992) 83.

    Article  CAS  Google Scholar 

  7. A. Carpinteri, J. Mech. Phys. Solids 37 (1989) 567.

    Article  Google Scholar 

  8. L. Biolzi, S. Cangiano, G. Tognon and A. Carpinteri, Mater. Struct.

  9. E. Smith, Int. J. Engng Sci. 27 (1989) 301.

    Article  Google Scholar 

  10. D. S. Dugdale, J. Mech. Phys. Solids 8 (1960) 100.

    Article  Google Scholar 

  11. B. A. Bilby, A. H. Cottrell and K. H. Swinden, Proc. Roy. Soc. A272 (1963) 304.

    Google Scholar 

  12. J. R. Rice, in “Fracture”, edited by H. Liebowitz, Vol. 2 (Academic Press, New York, 1968) p. 191.

    Google Scholar 

  13. H. Tada, P. C. Paris, and G. R. Irwin, “The Stress Analysis of Cracks Handbook” (Del Research Corporation, Hellertown, PA, 1973).

    Google Scholar 

  14. E. Smith, J. Mater. Sci. 28 (1993) 0000.

    Google Scholar 

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Authors and Affiliations

  1. UMIST Materials Science Centre, Manchester University, Grosvenor Street, M1 7HS, Manchester, UK

    E. Smith

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  1. E. Smith
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Smith, E. Displacement control crack-growth instability in an elastic-softening material. Journal of Materials Science 28, 875–879 (1993). https://doi.org/10.1007/BF00400868

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  • DOI: https://doi.org/10.1007/BF00400868

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