Skip to main content
Log in

The effect of residual stresses on brittle and ductile fracture initiation predicted by micromechanical models

  • Published:
International Journal of Fracture Aims and scope Submit manuscript

Abstract

The effect of a realistic residual stress field on the predicted initiation of brittle and ductile fracture in a pressure and axially loaded circumferentially cracked pipe is examined using finite element analysis, micromechanical models of fracture initiation, andJ-Q theory. The study confirms that residual stresses contribute to the driving force and reduce fracture loads early in the loading history. In addition, results show that the residual stresses severely alter theJ-value (i.e., fracture toughness) predicted for the onset of brittle fracture. The reason for this decrease is found to be the increase in constraint generated by the residual stress field. In contrast, the effect of residual stresses on the ductile fracture initiation toughness is shown to be negligible. kw]Key words kw]residual stress kw]fracture initiation kw]micromechanics

This is a preview of subscription content, log in via an institution to check access.

Access this article

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Similar content being viewed by others

References

  1. W.A. Sorem, S.T. Rolfe and R.H. DoddsJr., The effects of crack depth on elastic-plastic CTOD fracture toughness.Welding Research Council Bulletin 351 (1990) 12–23.

    Google Scholar 

  2. T.L. Panontin and S.D. Sheppard, The relationship between constraint and ductile fracture initiation as defined by micromechanical analyses.ASTM STP 1256, Fracture Mechanics: 26th Volume, W.G. Reuter, J.H. Underwood, and J.C. NewmanJr., Eds., American Society for Testing and Materials, West Conshohoken, PA (1995) 54–85.

    Google Scholar 

  3. R. Gunnert, Residual stresses. InProceedings of the Special Symposium on the Behavior of Welded Structures, Urbana, IL, University of Illinois Engineering Experiment Station, 1961, pp. 164–201.

  4. L. Banks-Sills and I. Marmur, Influence of autofrettage on fracture toughness.International Journal of Fracture 40 (1989) 143–155.

    Google Scholar 

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

    Google Scholar 

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

    Google Scholar 

  7. E.F. Rybicki and J.R. Shadley, A three-dimensional finite element evaluation of a destructive experimental method of determining through-thickness residual stresses in girth welded pipes.Journal of Engineering Materials and Technology 108 (2) (1986) 99–106.

    Google Scholar 

  8. PATRAN, 1992, User's Manual, Version 2.5, PDA Engineering, Inc., Costa Mesa, CA.

    Google Scholar 

  9. ABAQUS, 1993, User's Manual, Version 5.3, Hibbitt, Karlsson, and Sorenson, Inc., Providence, RI.

    Google Scholar 

  10. P.W. Bridgman,Studies in Large Flow and Fracture, McGraw-Hill, New York, 1952.

    Google Scholar 

  11. T. Mura,Micromechanics of Defects in Solids Dordrecht, Netherlands, M. Nijhoff 1987.

    Google Scholar 

  12. M.R. Hill and D.V. Nelson, The inherent strain method for residual stress determination and its application to a long welded joint.ASME Pressure Vessel and Piping 318 (1995) 343–352.

    Google Scholar 

  13. G. Glinka and G. Shen, Universal features of weight functions for cracks in mode I.Engineering Fracture Mechanics 40 (1991) 1135–1146.

    Google Scholar 

  14. J.R. Rice, A path independent integral and the approximate analysis of strain concentration by notches and cracks.Journal of Applied Mechanics 35 (1968) 379–386.

    Google Scholar 

  15. T.L. Panontin and S.D. Sheppard, An experimentally-verified finite element study of the stress-strain response of crack geometries experiencing large scale yielding. A manuscript in preparation for the ASTM STP from the 27th National Symposium on Fracture Mechanics, Williamsburg.

  16. T.L. Panontin, Ph.D. Dissertation, Stanford University, Stanford, 1994.

  17. J.W. Hancock and M.J. Cowling, Role of state of stress in crack-tip failure processes.Metal Science Aug.–Sept., 1980 pp. 293–304.

  18. R.O. Ritchie, W.L. Server and R.A. Wullarert, Critical fracture stress and fracture strain models for the prediction of lower and upper shelf toughness in nuclear pressure vessel steels.Metallurgical Transactions 10A (1979) 1557–1570.

    Google Scholar 

  19. A.C. Mackenzie, J.W. Hancock and D.K. Brown, On the influence of state of stress on ductile failure initiation in high strength steels.Engineering Fracture Mechanics 9 (1977) 167–188.

    Google Scholar 

  20. J.W. Hancock and A.C. Mackenzie, On the mechanisms of ductile failure in high-strength steels subjected to multi-axial stress-states.Journal of the Mechanics and Physics of Solids 24 (1976) 147–169.

    Google Scholar 

  21. Markku Nevalainen and Robert H. DoddsJr., Numerical investigation of 3-D constraint effects on brittle fracture in SE(B) and C(T) specimens.International Journal of Fracture 74 (1995) 131–161.

    Google Scholar 

  22. V. Kumar, M.D. German and C.F. Shih, An engineering approach for elastic-plastic fracture analysis. EPRI Report NP-1931, Electric Power Research Institute, Palo Alto, 1981.

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Rights and permissions

Reprints and permissions

About this article

Cite this article

Panontin, T.L., Hill, M.R. The effect of residual stresses on brittle and ductile fracture initiation predicted by micromechanical models. Int J Fract 82, 317–333 (1996). https://doi.org/10.1007/BF00013236

Download citation

  • Received:

  • Accepted:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF00013236

Keywords

Navigation