Skip to main content
Log in

Influence of welding residual stresses on the ductile crack growth resistance of circumferentially cracked pipe

  • Research Article
  • Published:
Frontiers of Structural and Civil Engineering Aims and scope Submit manuscript

Abstract

Welding residual stress is one of the main concerns for fabrication and operation of steel structures due to its potential effect on structural integrity. This paper focuses on the effect of welding residual stress on the ductile crack growth resistance of circumferentially cracked steel pipes. Two-dimensional axi-symmetry model has been used to simulate the pipe. Residual stresses were introduced into the model by using so-called eigenstrain method. The complete Gurson model has been employed to calculate the ductile crack growth resistance. Results show that residual stresses reduce the ductile crack growth resistance. However, the effect of residual stresses on ductile crack growth resistance decreases with the increase of crack growth. The effect of residual stress has also been investigated for cases with different initial void volume fraction, material hardening and crack sizes.

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. Sherry A H, Wilkes M A, Sharples J K and Budden P J. The assessment of residual stress effects on ductile tearing using continuum damage mechanics. Journal of Pressure Vessel Technology, 2008. 130(4): 041212-1–041212-8

    Article  Google Scholar 

  2. Liu J, Zhang Z L, Nyhus B. Residual stress induced crack tip constraint. Engineering Fracture Mechanics, 2008, 75(14): 4151–4166

    Article  Google Scholar 

  3. Ren X B, Zhang Z L, Nyhus B. Effect of residual stresses on the crack-tip constraint in a modified boundary layer model. International Journal of Solids and Structures, 2009, 46(13): 2629–2641

    Article  MATH  Google Scholar 

  4. Ren X B, Zhang Z L, Nyhus B. Effect of residual stresses on ductile crack growth resistance. Engineering Fracture Mechanics, 2010, 77(8): 1325–1337

    Article  Google Scholar 

  5. Sharples J K, France C C, Ainsworth R A. Experimental validation of R6 treatment of residual stresses. ASME Press Vessels Piping, 1999, 392: 225–238

    Google Scholar 

  6. Mahmoudi A, Truman C, Smith D. Using local out-of-plane compression (LOPC) to study the effects of residual stress on apparent fracture toughness. Engineering Fracture Mechanics, 2008, 75(6): 1516–1534

    Article  Google Scholar 

  7. Ueda Y, Nakacho K, Yuan M. A new measuring method of residual stresses with the aid of finite element method and reliability of estimated values. Trans. Japan Welding Research Institute, 1975, 4(2): 123–131

    Google Scholar 

  8. Zhang Z L, Thaulow C, Ødegård J. A complete Gurson model approach for ductile fracture. Engineering Fracture Mechanics, 2000, 67(2): 155–168

    Article  Google Scholar 

  9. Gurson A L. Gurson, Continuum theory of ductile rupture by void nucleation and growth: part I-yield criteria and flow rules for porous ductile media. Journal of Engineering Materials and Technology, 1977, 99(1): 2–15

    Article  Google Scholar 

  10. Tvergaard V. Influence of voids on shear band instabilities under plane strain conditions. International Journal of Fracture, 1981, 17(4): 389–407

    Article  Google Scholar 

  11. Tvergaard V. On localization in ductile materials containing spherical voids. International Journal of Fracture, 1982, 18(4): 237–252

    Google Scholar 

  12. Tvergaard V, Needleman A. Analysis of the cup-cone fracture in a round tensile bar. Acta Metallurgica, 1984, 32(1): 157–169

    Article  Google Scholar 

  13. Thomason P. Ductile Fracture of Metals. 1990, Pergamon

  14. Østby E, Thaulow C, Zhang Z L. Numerical simulations of specimen size and mismatch effects in ductile crack growth-Part I: Tearing resistance and crack growth paths. Engineering Fracture Mechanics, 2007, 74(11): 1770–1792

    Article  Google Scholar 

  15. Zhang Z L, Niemi E. A class of generalized mid-point algorithms for the Gurson-Tvergaard material model. International Journal for Numerical Methods in Engineering, 1995, 38(12): 2033–2053

    Article  MATH  Google Scholar 

  16. Zhang Z L, Niemi E. A new failure criterion for the Gurson-Tvergaard dilational constitutive model. International Journal of Fracture, 1995, 70(4): 321–334

    Article  Google Scholar 

  17. Zhang Z L, Niemi E. Studies on the ductility predictions by different local failure criteria. Engineering Fracture Mechanics, 1994, 48(4): 529–540

    Article  Google Scholar 

  18. Zhang Z L. On the accuracies of numerical integration algorithms for Gurson-based pressure-dependent elastoplastic constitutive models. Computer Methods in Applied Mechanics and Engineering, 1995, 121(1–4): 15–28

    Article  MathSciNet  MATH  Google Scholar 

  19. Zhang Z L. Explicit consistent tangent moduli with a return mapping algorithm for pressure-dependent elastoplasticity models. Computer Methods in Applied Mechanics and Engineering, 1995, 121(1–4): 29–44

    Article  MathSciNet  MATH  Google Scholar 

  20. Hill MR. Determination of residual stress based on the estimation of eigenstrain. Ph.D. thesis, Stanford University, 1996

  21. Mochizuki M, Hayashi M, Hattori T. Residual stress analysis by simplified inherent strain at welded pipe junctures in a pressure vessel. Journal of Pressure Vessel Technology, 1999, 121(4): 353–357

    Article  Google Scholar 

  22. Xu J, Zhang Z L, Østby E, Nyhus B, Sun D B. Effects of crack depth and specimen size on ductile crack growth of SENT and SENB specimens for fracture mechanics evaluation of pipeline steel. International Journal of Pressure Vessels and Piping, 2009, 86(12): 787–797

    Article  Google Scholar 

  23. Xu J, Zhang Z L, Østby E, Nyhus B, Sun D B. Constraint effect on the ductile crack growth resistance of circumferentially cracked pipes. Engineering Fracture Mechanics, 2010, 77(4): 671–684

    Article  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to Zhiliang Zhang.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Ren, X., Akselsen, O.M., Nyhus, B. et al. Influence of welding residual stresses on the ductile crack growth resistance of circumferentially cracked pipe. Front. Struct. Civ. Eng. 6, 217–223 (2012). https://doi.org/10.1007/s11709-012-0169-3

Download citation

  • Received:

  • Accepted:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s11709-012-0169-3

Keywords

Navigation