Correlation Between Fatigue Life of 2.2Ni-0.1Cr-0.5Mo Steel Accompanying Mean Stresses with Cyclic Strain Energy Density

평균응력을 동반하는 2.2Ni-lCr-0.5Mo강의 피로수명과 변형률에너지 밀도와의 상관관계

  • 고승기 (군산대학교 기계공학부) ;
  • 하정수 (한국전력공사 전력연구원 발전연구실)
  • Published : 2003.01.01


Fatigue damage of 2.2Ni-1Cr-0.5Mo steel used fir high strength pressure tubes and vessels was evaluated using uniaxial specimens subjected to strain-controlled fatigue loading. Based on the fatigue test results from different strain ratios of -2. -i 0, 0.5, 0.75, the fatigue damage of the steel was represented by using a cyclic strain energy density. Mean stress relaxation depended on the magnitude of the applied strain amplitude. The high pressure vessel steel exhibited the cyclic softening behavior. Total strain energy density consisting of the plastic strain energy density and the elastic tensile strain energy density described fairly well the fatigue life of the steel, taking the mean stress effects into account. Compared to other fatigue damage parameters, fatigue life prediction by the cyclic strain energy density showed a good correlation with the experimental fatigue lift within a factor of 3.


Strain Energy Density;Pressure Tube;Fatigue Damage Parameter;Mean Stress;Fatigue Life


  1. Koh, S.K. and Stephens, R.I., 1991, 'Mean Stress Effects on Low Cycle Fatigue for a High Strength Steel,' Fatigue and Fracture of Engineering Materials and Structures, Vol. 14, No.4, pp. 413-428
  2. Koh, S.K., 1999, 'Tensile Mean Strain Effects on the Fatigue Life of SiC-Particulate-Reinforced AI-Si Cast Alloy Composites,' Transactions of KSME A, Vol 23, No. 11, pp. 1970-1981
  3. Wehner, T., and Fatemi, A., 1991, 'Effect of Mean Stress on Fatigue Behavior of a Hardened Acrbon Steel,' International Journal of Fatigue, Vol. 13, No.3, pp. 241-253
  4. Ellyin, F., 1997, Fatigue Damage. Crack Growth and Life Prediction, Chapman & Hall, London, pp. 55-56
  5. Morrow, J.D., Wetzel, R.M. and Topper, 1970, 'Laboratory Simulation of Structural Fatigue Behavior,' in Effects of Environment and Complex Load History on Fatigue Life, ASTM STP 462, American Society for Testing and Materials, West Conshohocken, pp. 74-91
  6. Smith, K.N, Watson, P. and Topper, T.H., 1970, 'A Stress-Strain Function for the Fatigue of Metals,' Journal of Materials, pp. 767-778
  7. Stephens, R.I., Fatemi, A., Stephens, R.R., and Fuchs, H.O., 2001, Metal Fatigue in Engineering, 2nd Ed., Wiley, New York
  8. Morrow, J.D., 1965, 'Cyclic Plastic Strain Energy and Fatigue of Metals,' in Internal Friction. Damping and Cyclic Plasticity, ASTM STP 378, American Society for Testing and Materials, West Conshohocken, pp. 45-84
  9. Halford, G.R., 1966, 'The Energy Required for Fatigue,' Journal of Materials, Vol. 1, No.1, pp. 3-18
  10. Leis, B.N., 1977, 'An Energy-based Fatigue and Creep-fatigue Damage Parameter,' ASME Journal of Pressure Vessel Technology, Vol. 99, pp. 524-533
  11. Ellyin, F. and Kujawski, D., 'The Energy-based Fatigue Failure Criterion,' in Microstructure and Mechanical Behaviour of Materials, Vol. 11, H. Gu and J. He, Eds., EMAS, West Midlands, UK, 1986, pp. 541-600
  12. Hyun, J.S., Beak, S.G., and Song, G.W., 1998, 'Low Cycle Creep-Fatigue Life Prediction of 1Cr-0.5Mo Pipe Steel with Hold Time Effects by Using the Plastic Strain Energy,' Transactions of KSME A, Vol. 22, No. 12, pp. 2093-2099
  13. Golos, K. and Ellyin, F., 1988, 'A Total Strain Energy Density Theory for Cumulative Fatigue Damage,' ASME Journal of Pressure Vessel Techology, Vol 110, pp. 36-41