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Elastic-plastic fracture mechanics assessment of low constraint aluminium test specimens

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Abstract

Recent studies have shown that the near crack-tip stress field at a given J value is dependent on geometry. This dependence has been linked to the degree of constraint in the geometry, with low constraint geometries losing J dominance at very low deformation levels. New approaches centred on the use of a two-parameter description (e.g. J-T and J-Q) of the crack-tip stress-strain state have emerged. However, there is a serious lack of experimental and numerical results for low constraint geometries to quantify the T-stress and Q-value in the literature. This paper describes details of an experimental and numerical program carried out on low and high constraint geometries (CCT and TPB) fabricated from an aluminium alloy. The results show that the experimental and numerical fracture toughness values (J c ) agree within ±10 percent. The T-stress and Q-value two-parameter methodologies are successful at indexing the fracture toughness, ordering the data into a systematic trend of decreasing fracture toughness with increasing T or Q, albeit with some scatter. This allows the use of practical two-parameter failure criteria, in the form of J-T and J-Q loci, to predict the behaviour of cracked components, without the conservatism associated with the use of high constraint test geometries.

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References

  1. J.W. Hutchinson, Singular behaviour at the end of a tensile crack in a hardening material. Journal of the Mechanics and Physics of Solids 16 (1968) 13–31.

    Google Scholar 

  2. J.R. Rice and G.F. Rosengren, Plane strain deformation near a crack tip in a power-law hardening material. Journal of the Mechanics and Physics of Solids 16 (1968) 1–12.

    Google Scholar 

  3. A.M. Al-Ani and J.W. Hancock, J-dominance of short cracks in tension and bending. Journal of the Mechanics and Physics of Solids 39 (1991) 23–43.

    Google Scholar 

  4. C.F. Shih, N.P. O'Dowd and M.T. Kirk, A framework for quantifying crack-tip constraint. In Defect Assessment in Components—Fundamentals and Applications, ESIS/EGF9, J.G. Blauel & K.-H. Schwalbe (eds.), Mechanical Engineering Publications London, (1991) 2–20.

    Google Scholar 

  5. C. Betegon and J.W. Hancock, Two-parameter characterisation of elastic-plastic crack-tip fields. Journal of Applied Mechanics 58 (1991) 104–110.

    Google Scholar 

  6. Z.-Z. Du and J.W. Hancock, The effect of non-singular stresses on crack-tip constraint. Journal of the Mechanics and Physics of Solids 39 (1991) 555–567.

    Google Scholar 

  7. S.G. Larsson and A.J. Carlsson, Influence of non-singular stress terms and specimen geometry on small-scale yielding at crack tips in elastic-plastic materials. Journal of the Mechanics and Physics of Solids 21 (1973) 263–278.

    Google Scholar 

  8. J.R. Rice, Limitations to the small-scale yielding approximation for crack-tip plasticity. Journal of the Mechanics and Physics of Solids 22 (1974) 17–26.

    Google Scholar 

  9. N.P. O'Dowd and C.F. Shih, Family of crack-tip fields characterised by a triaxiality parameter I. Structure of fields. Journal of the Mechanics and Physics of Solids 39 (1991) 989–1015.

    Google Scholar 

  10. N.P. O'Dowd and C.F. Shih, Family of crack-tip fields characterised by a triaxiality parameter II. Fracture applications. Journal of the Mechanics and Physics of Solids 40 (1992) 939–963.

    Google Scholar 

  11. N.P. O'Dowd and C.F. Shih, Two-parameter fracture mechanics: theory and applications. ASTM 24th National Symposium on Fracture Mechanics, Tennessee (1992).

  12. ASTM-E813, Standard method for J lc : A measure of fracture toughness. ASTM Annual Book of Standards, Section 3, Volume 03, ASTM, Philadelphia, (1987) 686–700.

  13. BS-7448: Part I, Standard method for J lc : A measure of fracture toughness. British Standard Institute, London, United Kingdom (1991).

  14. J.D.G. Sumpter, An experimental investigation of the T-stress approach. In Constraint Effects in Fracture, ASTM STP-1171, E.M. Hackett, K.-H. Schwalbe and R.H. Dodds, Jr. (eds.), Indianapolis, (1993) 492–502.

  15. T.-L. Sham, The determination of the elastic T-term using higher order weight functions. International Journal of Fracture 48 (1991) 81–102.

    Google Scholar 

  16. C.F. Shih, Table of Hutchinson-Rice-Rosengren singular field quantities. Materials Research Laboratory, MRL E-147, Brown University (1983).

  17. ABAQUS, Version 5.3 User's manual, Theory manual, Verification manual and Example problems. Hibbit, Karlsson and Sorensen, Inc. (1993).

  18. D.M. Parks, The virtual crack extension method for non-linear material behaviour. Computer Methods in Applied Mechanics and Engineering 12 (1977) 353–364.

    Google Scholar 

  19. B.S. Henry and A.R. Luxmoore, Three-dimensional evaluation of the T-stress in centre cracked plates. International Journal of Fracture 70 (1995) 35–50.

    Google Scholar 

  20. D.M. Parks, Three-dimensional aspects of HRR-dominance. In Defect Assessment in Components-Fundamentals and Applications, ESIS/EGF9, J.G. Blauel & K.-H. Schwalbe (eds.), Mechanical Engineering Publications, London, (1991) 205–231.

    Google Scholar 

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University College of Swansea

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Henry, B.S., Luxmoore, A.R. & Sumpter, J.D.G. Elastic-plastic fracture mechanics assessment of low constraint aluminium test specimens. Int J Fract 81, 217–234 (1996). https://doi.org/10.1007/BF00039572

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  • DOI: https://doi.org/10.1007/BF00039572

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