Two-Parameter Characterization for the Resistance Curves of Ductile Crack Growth

연선균열성장 저항곡선에 대한 2매개변수의 특성

  • X.K.Zhu (Department of Mechanical Enginneering University of South Carolia)
  • Published : 1999.07.01

Abstract

The present paper considers the constraint effect on J-R curves under the two-parameter $J-A_2$ controlled crack growth within a certain amount of crack extension. Since the parameter $A_2$ in $J-A_2$ three-term solution is independent of applied loading under fully plasticity or large-scale defor-mation $A_2$ is a proper constraint parameter uring crack extension. Both J and $A_2$ are used to char-acterize the resistance curves of ductile crack growth using J as the loading level and $A_2$ are used to char-acterize the resistance curves of ductile crack growth using J as the loading level and A2 as a con-straint parameter. Approach of the constraint-corrected J-R curve is proposed and a procedure of transferring the J-R curves determined from standard ASTM procedure to non-standard speci-mens or real cracked structures is outlined. The test data(e.g. initiation toughness JIC and tearing modulus $T_R$) of Joyce and Link(Engineer-ing Fracture Mechanics 1997, 57(4) : 431-446) for single-edge notched bend[SENB] specimen with from shallow to deep cracks is employed to demonstrate the efficiency of the present approach. The variation of $J_{IC}$ and $T_R$ with the constraint parameter $A_2$ is obtained and a con-straint-corrected J-R curves is constructed for the test material of HY80 steel. Comparisons show that the predicted J-R curves can very well match with the experimental data for both deep and shallow cracked specimens over a reasonably large amount of crack extension. Finally the present constraint-corrected J-R curve is used to predict the crack growth resistance curves for different fracture specimens. over a reasonably large amount of crack extension. Finally the present constraint-corrected J-R curve is used to predict the crack growth resistance curves for different fracture specimens. The constraint effects of specimen types and specimen sizes on the J-R curves can be easily obtained from the constrain-corrected J-R curves.

Keywords

References

  1. ASTM STP 1204 Fracture toughness measurements with subsize Disk Compact specimens, Small Specimens Test Techniques Applied to Nuclear Reactor Vessel Thermal Annealing and Plant Life Extension Alexander, D. J.
  2. Standard Test Method for J-Integral Characterization of Fracture Toughness ASTM E1737-96
  3. Journal of Applied Mechanics v.58 Two parameter characterization of elastic-plastic crack-tip fields Betegon, D.;Hancock, J. W.
  4. Nuclear Engineering and Design v.151 Large stable crack growth in fracture mechanics specimens Brocks, W.;Ebertle, A.;Fricke, S.;Veith, H.
  5. Journal of the Mechanics and Physics of Solids v.42 On the fracture of solids characterized by one or two parameters : theory and practice Chao, Y. J.;Yang, S.;Sutton, M. A.
  6. Me-Report, 97-1 Tables of plane strain crack-tip fields : HRR and higher order terms Chao, Y.J.;Zhang, L.
  7. International Journal of Fracture v.89 J-A₂ Characterization of Crack-Tip Fields : Extent of J-A₂ Dominance and Size Requirements Chao, Y. J.;Zhu, X. K.
  8. Fracture Mechanics : twenty-second symposium (Volume Ⅰ), ASTM STP 1133 Determination of J-integral-based crack resistance curve and initiation values for the assessment of cracked large-scale specimens Eisele, U.;Roos, E.;Seidenfuss, M.;Silcher
  9. Journal of Nuclear Materials v.179 Development of disk compact tension specimens and test techniques for HFIR irradiation Elliot, C.;Emark, M.;Lucas, G. E.(et al.)
  10. Journal of the Mechanics in Physics and Solids v.43 Effects of local constraint along three-dimensional crack fronts A numerical and experimental investigation Faleskog, J.
  11. ASTM STP 1171 Constraint and toughness parameterized by T, Constraint effects in fracture Hancock, J. W.;Reuter, W. G.;Parks, D. M.
  12. Journal of Testing and Evaluation v.25 High resolution R-curve characterization of the fracture toughness of thin sheet aluminum alloys Haynes, M. J.;Gangloff, R. P.
  13. International Journal of Fracture v.81 Elastic-plastic fracture mechanics assessment of low constraint aluminium test specimens Henry, B. S.;Luxmoore, A. R.;Sumpter, J. D. G.
  14. Fracture Mechanics : 26th Volume, ASTM STP 1256 Effects of constraint on upper shelf fracture toughness Joyce, J. A.;Link, R. E.
  15. Engineering Fracture Mechanics v.57 Application of twoparameter elastic-plastic fracture mechanics to analysis of structures Joyce, J. A.;Link, R. E.
  16. Nuclear Engineering and Design v.174 Study of the effect of the crack length on the $J_{IC}$ value Kikuchi, M.
  17. Fracture Mechanics Verification by Large-Scale Testing, EGF/ESIS8 Experimental and numerical investigation of surface cracks in plates and pipes Klemm, W.;Memhard, D.;Schmitt, W.;K. Kussmaul(ed.)
  18. Nuclear Engineering and Design v.112 The influence of triaxiality on stable crack growth Kordisch, H.;Sommer, E.;Schmitt, W.
  19. Engineering Fracture Mechanics v.52 Calculation of the second fracture parameter for finite cracked bodies using a three-term elastic-plastic asymptotic expansion Nikishkov, G. P.;Bruckner-Foit, A.;Munz, D.
  20. Nonlinear Fracture Mechanics : Volume Ⅱ Elastic Plastic Fracture, ASTM STP 995 Evaluation of attempts to predict large-crack-growth J-R curves from small specimen tests Marschall, C. W.;Papaspyropoulos, V.;Landow, M. P.
  21. Journal of the Mechanics in Physics and Solids v.39 Family of cracktip fields characterized by a triaxiality parameter Ⅰ. Structure of fields O'Dowd, N. P.;Shih, C. F.
  22. Journal of the Mechanics in Physics and Solids v.40 Family of cracktip fields characterized by a triaxiality parameter Ⅱ. Fracture applications O'Dowd, N. P.;Shih, C. F.
  23. Constraint effects in fracture, ASTM STP 1171 Effect of stress state on the ductile fracture behavior of large scale specimens Roos, E.;Eisele, U.;Silcher, H.
  24. Fracture Mechanics Verification by Large-Scale Testing, EGF/ESIS8 Impact of the stress state on the fracture mechanics of heavy section steel component failure mechanics Roos, E.;Eisels, U.;Silcher, H.;Eckert, W.;K. Kussmaul(ed.)
  25. International Journal of Fracture v.78 A numerical study on the crack growth behavior of a low and a high strength steel Shan, G. X.;Kolednik, O.;Fischer, F. D.
  26. Fracture Mechanics : 25th Volume, ASTM STP 1220 Two-parameter characterization of crack tip fields in egded-cracked geometries : Plasticity and creep solutions Sharma, S.M.;Aravas, N.;Zelman
  27. Journal of the Mechanics in Physics and Solids v.43 A computational approach to ductile crack frowth under large scale yielding conditions Xia, L.;Shih, C. F.;Hutchinson, J. W.
  28. International Journal of Pressure Vessels and Piping v.73 Effect of constraint on ductile crack growth and ductile brittle fracture transition of a carbon steel Yan, C.;Mai, Y. W.
  29. Ph.D. Dissertation, University of South Carolina Higher order asymptotic crack tip fields in a power-law hardening material Yang, S.
  30. Engineering Fracture Mechanics v.45 Higher order asymptotic crack tip fields in a power-law hardening material Yang, S.;Chao, Y. J.;Sutton, M. A.
  31. Fracture Mechanics : 26th Volume, ASTM STP 1256 Evaluation of disk-shaped compact specimen for determining J-R curves Yoon, K. K.;Gross, L. B.;Wade, C. S.;Van-DerSluys, W. A.
  32. Engineering Fracture Mechanics v.32 Numerical investigation on the significant of J for large stable crack growth Yuan, H.;Brocks, W.
  33. Internation Journal of Solids and Structures Characterization of constraint of fully plastic crack-tip fields in nonhardening materials by the three-term solution Zhu, X. K.;Chao, Y. J.