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Estimations of the C(t)-Integral in Transient Creep Condition for Pipe with Crack Under Combined Mechanical and Thermal Stress (I) - Elastic-Creep -

복합응력이 작용하는 균열 배관에 대한 천이 크리프 조건에서의 C(t)-적분 예측 (I) - 탄성-크리프 -

  • Published : 2009.09.01

Abstract

The C(t)-integral describes amplitude of stress and strain rate field near a tip of stationary crack under transient creep condition. Thus the C(t)-integral is a key parameter for the high-temperature crack assessment. Estimation formulae for C(t)-integral of the cracked component operating under mechanical load alone have been provided for decades. However, high temperature structures usually work under combined mechanical and thermal load. And no investigation has provided quantitative estimates for the C(t)-integral under combined mechanical and thermal load. In this study, 3-dimensional finite element analyses were conducted to calculate the C(t)-integral of elastic-creep material under combined mechanical and thermal load. As a result, redistribution time for the crack under combined mechanical and thermal load is re-defined through FE analyses to quantify the C(t)-integral. Estimates of C(t)-integral using this proposed redistribution time agree well with FE analyses results.

Keywords

References

  1. Webster, G. A., Ainsworth, R. A., 1994, 'High Temperature Component Life Assessment,' Chapman & Hall
  2. R5: An Assessment Procedure for the High Temperature Response of Structures. Revision 2, British Energy, 2003
  3. Miller, A. G., Ainsworth, R. A., 1989, 'Consistency of Numerical Results for Power-Law Hardening Materials and the Accuracy of the Reference Stress Approximation for J,' Engineering Fracture Mechanics, Vol. 32, No. 2, pp. 233~247 https://doi.org/10.1016/0013-7944(89)90296-8
  4. Kumar, V., German, M. D. and Shih C. F., 1981, 'An Engineering Approach for Elastic Plastic Fracture Analysis,' EPRI report, No. 1931
  5. British Energy Generation Ltd., 2007, 'R6:Assessment of the Integrity of Structures Containing Defects,' Rivision 4
  6. Kim, J. S., Kim, Y. J. and Kim, Y. J., 2002, Estimation of C*-Integral for Defective Components with General Creep Deformation Behaviors,' Trans. of the KSME(A), Vol. 26, No. 5, pp. 795~802 https://doi.org/10.3795/KSME-A.2002.26.5.795
  7. Huh, N. S., Kim, Y. J. and Kim, Y. J., 2003, 'Creep Fracture Mechanics Analysis for Through-Wall Cracked Pipes Under Widespread Creep Condition, Trans. of the KSME(A), Vol. 27, No. 6, pp. 890~897 https://doi.org/10.3795/KSME-A.2003.27.6.890
  8. Nikbin, K. M., Webster, G. A. and Turneer, C. E., 1976, 'Relevance of Nonlinear Fracture Mechanics to Creep Cracking, Cracks and Fractured,' ASTM STP 601, pp. 47~62
  9. Harper, M. P., Ellison, E. G., 1977, 'The Use of the C* Parameter in Predicting Creep Crack Propagation Rates,' Journal of Strain Analysis, Vol. 12, pp. 167~199 https://doi.org/10.1243/03093247V123167
  10. Riedel, H., Rice, J. R., 1980, 'Tensile Cracks in Creeping Solids,' Fracture Mechanics : Twelfth Conference, ASTM STP 700, pp. 112-130
  11. Ehlers, R., Riedel, H., 1981, 'A Finite Element Analysis of Creep Deformation in a Specimen Containing a Macroscopic Crack,' In Proc. Fifth Int. Conf. on Fracture (Edited by D. Francois), Vol. 2, pp. 691~698, Pergamon Press, Oxford
  12. Ainsworth, R. A., Budden, P. J., 1990, 'Crack Tip Fields Under Non-Steady Creep Conditions-I. Estimates of the Amplitude of the Fields,' Fatigue and Fracture of Engineering Materials and Structures, Vol. 13, No. 3, pp. 263~276 https://doi.org/10.1111/j.1460-2695.1990.tb00598.x
  13. Ainsworth, R. A., Budden, P. J., 1990, 'Crack tip Fields Under Non-Steady Creep Conditions - II. Estimates of Associated Crack Growth,' Fatigue and Fracture of Engineering Materials and Structures, Vol. 13, No. 3, pp. 277~285 https://doi.org/10.1111/j.1460-2695.1990.tb00599.x
  14. Kim, Y. J., 2001, 'Contour Integral Calculations for Generalized Creep Laws Within ABAQUS,'International Journal of Pressure Vessels and Piping, Vol. 78, pp. 661~666 https://doi.org/10.1016/S0308-0161(01)00080-1
  15. Kim, Y. J., Dean, D. W. and Budden, P. J., 2001, 'Finite Element Analysis to Assess the Effect of Initial Plasticity on Transient Creep for Defects Under Mechanical Loading,' International Journal of Pressure Vessels and Piping, Vol. 78, pp. 1021~1029 https://doi.org/10.1016/S0308-0161(01)00119-3
  16. Joch, J., Ainsworth, R. A., 1992, 'The Development of Creep Singular Fields for Defects in Thermally Loaded Structures,' Fatigue and Fracture of Engineering Materials and Structures, Vol. 15, No. 7, pp. 685~693 https://doi.org/10.1111/j.1460-2695.1992.tb01306.x
  17. Lei, Y., 2008, 'Finite Element RCC-MR Creep Analysis of Circumferentially Cracked Cylinders Under Combined Residual Stress and Mechanical load,' British Energy Report E/REP/BDBB/0027/GEN/07, British Energy Generation Limited
  18. Song, T. K., Kim, Y. J., 2009, 'Estimation of C(t)- Integral in Transient Creep Condition for Pipe with Crack Under Combined Mechanical and Thermal Stress (Part II : Elastic-plastic-creep), Submitted to Transactions of the KSME(A) https://doi.org/10.3795/KSME-A.2009.33.9.949
  19. Song, T. K., Kim, Y. J., Kim, J. S., Jin, T. E., 2007, 'Limit Load and Approximate J-Integral Estimates for Axial-Through Wall Cracked Pipe Bend,' Trans. of KSME(A), Vol. 31, No. 5, pp.562~569 https://doi.org/10.3795/KSME-A.2007.31.5.562
  20. Song, T. K., Oh, C. K., Kim, Y. J., Kim, J. S., Jin, T. E., 2007, 'Elastic-Plastic Fracture Mechanics Analyses for Circumferential Part-Through Surface Cracks at the Interface Between Elbows and Pipes,' Trans. of KSME(A), Vol. 31, No. 6, pp.710~717 https://doi.org/10.3795/KSME-A.2007.31.6.710
  21. Song, T. K., Oh, C. K., Kim, Y. J., 2008, 'V-Factor Estimation Under Thermal and Mechanical Stress for Circumferentially Cracked Cylinder,' Trans. of KSME(A), Vol. 32, No. 12, pp. 1123~1131 https://doi.org/10.3795/KSME-A.2008.32.12.1123

Cited by

  1. Estimation of C(t) -Integral Under Transient Creep Conditions for a Cracked Pipe Subjected to Combined Mechanical and Thermal Loads Depending on Loading Conditions vol.35, pp.6, 2011, https://doi.org/10.3795/KSME-A.2011.35.6.609
  2. Estimations of the C(t)-Integral in Transient Creep Condition for Pipe with Crack Under Combined Mechanical and Thermal Stress (I) - Elastic-Creep - vol.33, pp.9, 2009, https://doi.org/10.3795/KSME-A.2009.33.9.949