Skip to main content
SpringerLink
Log in

Inclusion of primary creep in the estimation of the C t parameter

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

Abstract

The problem of time-dependent fracture under transient creep conditions is investigated via finite element analyses of fracture specimens with stationary cracks. The constitutive models consist of linear elasticity with combinations of power-law secondary creep and two primary creep laws. Two proposed parameters are studied. One is a contour integral, C(t), which characterizes the crack tip singularity strength. The other one, C t, is evaluated based on the load line deflection rate and has been used successfully in correlating experimental creep crack growth data.

It is evident that accurate constitutive modeling is essential to good agreement with experimental data. The inclusion of primary creep resolves earlier discrepancies between the experimental and analytical load line deflection rates which are used to calculate the respective values of C t. The loading boundary condition is also an important factor that has been addressed. A more general formulation of C twhich includes primary creep is presented. In small scale and transition creep, the C tparameter does not characterize the crack tip stress singularity but rather is related to the crack tip creep zone growth rate. At times past transition time, C tand C(t) both approach a path-independent integral, C *(t), which characterizes the stationary crack tip stress field. The relationship between C tand C(t) is discussed. The interpretation and estimation of the C tparameter are given based on the numerical results and analytical manipulations.

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

Access this article

Log in via an institution

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

Instant access to the full article PDF.

Institutional subscriptions

Similar content being viewed by others

References

  1. A. Saxena, in ASTM STP 905, J.H. Underwood et al (eds.) (1986) 185–201.

  2. A.Saxena and P.K.Liaw, ”Remaining Life Estimation of Boiler Pressure Parts Crack Growth Studies“, EPRI-CS-4688, Electric Power Research Institute, Palo Alto, CA, July 1986

    Google Scholar 

  3. K. Ohji, K. Ogura and S. Kubo, Japan Society of Mechanical Engineering, No. 790-13 (1979) 18–20, in Japanese

  4. H. Riedel and J.R. Rice, in Fracture Mechanics: Twelfth Conference, ASTM STP 700 (1980) 112–130

  5. J.W. Hutchinson, Journal of the Mechanics and Physics of Solids (1968) 13–31

  6. J.R. Rice and G.f. Rosengren, Journal of the Mechanics and Physics of Solids (1968) 1–12

  7. J.L.Bassani and F.A.McClintock, International Journal of Solids and Structures 17 (1981) 479–492.

    Google Scholar 

  8. J.D.Landes and J.A.Begley, Mechanics of Crack Growth, ASTM STP 590 (1976) 125–148.

    Google Scholar 

  9. H. Riedel, Journal of the Mechanics and Physics of Solids (1981) 35–49.

  10. H. Riedel and V. Detampel, International Journal of Fracture (1987) 239–262.

  11. B.Moran and C.F.Shih, Engineering Fracture Mechanics 27 (6) (1987) 614–642.

    Google Scholar 

  12. V.Kumar, M.D.German and C.F.Shih, ”An Engineering Approach to Elastic Plastic Fracture Analysis“, EPRI NP 1931, Electric Power Research Institute, Palo Alto, July 1981.

    Google Scholar 

  13. J.L. Bassani, D.E. Hawk and A. Saxena, ”Evaluation of the C tParameter for Characterizing Creep Crack Growth Rate in the Transient Regime,“ Third International Symposium on Nonlinear Fracture Mechanics, Knoxville, Oct. 6–8, 1986.

  14. C.-P. Leung, D.L. McDowell and A. Saxena, ”A Numerical Study of Nonsteady State Creep at Stationary Crack Tips,“ Third International Symposium on Nonlinear Fracture Mechanics, Knoxville, Oct. 6–8, 1986.

  15. D.R.J. Owen and E. Hinton, Finite Elements in Plasticity-Theory and Practice, Pineridge Press (1980).

  16. ABAQUS Finite-Element Code, Hibbitt, Karlsson and Sorenson, Inc., Providence, Rhode Island

  17. I.C.Cormeau, International Journal of Numerical Methods in Engineering 9 (1975) 109–127.

    Google Scholar 

  18. C.-P.Leung, D.L.McDowell and A.Saxena, International Jorunal of Fracture 36 (1974) 275–289.

    Google Scholar 

  19. J.C. Newman, Jr., in Fracture Analysis, ASTM STP 560 (1974) 105–121.

  20. C.-P. Leung, ”Estimation of the C t Parameter for Primary Creep,“ Ph.D. thesis, Georgia Institute of Technology (1988).

  21. J.A.H. Hult, Creep in Engineering Structures, Balaisdell Publishing Company (1966).

Download references

Author information

Authors and Affiliations

  1. School of Mechanical Engineering, Georgia Institute of Technology, 30332, Atlanta, Georgia, USA

    Chun-Pok Leung & David L. McDowell

Authors
  1. Chun-Pok Leung
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. David L. McDowell
    View author publications

    You can also search for this author in PubMed Google Scholar

Rights and permissions

Reprints and permissions

About this article

Cite this article

Leung, CP., McDowell, D.L. Inclusion of primary creep in the estimation of the C t parameter. Int J Fract 46, 81–104 (1990). https://doi.org/10.1007/BF00041997

Download citation

  • Received:

  • Accepted:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF00041997

Keywords

Search

Navigation