Continuum damage mechanics analysis of fatigue crack initiation

International Journal of Fatigue

Volumn 20, Issue 9, 1998, Pages 631-639

  Bhattacharya, Baidurya ^a   Ellingwood, Bruce ^a  

^a Johns Hopkins University   (United States)

Author keywords

Continuum damage mechanics; Cyclic loads; Deformation; Engineering mechanics; Fatigue; Steel; Structural engineering; Thermodynamics; Variable amplitude loading

Indexed keywords

CONTINUUM MECHANICS; CRACK INITIATION; CRACK PROPAGATION; DEFORMATION; DIFFERENTIAL EQUATIONS; DYNAMIC LOADS; FUNCTIONS; STEEL; STRUCTURAL ANALYSIS; THERMODYNAMIC STABILITY;

CONTINUUM DAMAGE MECHANICS; FATIGUE CRACK INITIATION; VARIABLE AMPLITUDE LOADING;

FATIGUE OF MATERIALS;

EID: 0032187730     PISSN: 01421123     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0142-1123(98)00032-2     Document Type: Article

References (45)

1. Murtaza, G. and Akid, R., Modelling short fatigue crack growth in a heat-treated low-alloy steel. International Journal of Fatigue, 1995, 17(3), 207-214.
2. Dowling, N., Mechanical Behavior of Materials. Prentice Hall, Englewood Cliffs, NJ, 1993.
3. Klesnil, M., Polak, J. and Liskutin, P., Short crack growth close to the fatigue limit in low carbon steel. Scripta Metallurgica, 1984, 18(11), 1231-1234.
4. Kaynak, C. and Ankara, A., Short fatigue crack growth in Al 2024-T3 and Al 7075-T6. Engineering Fracture Mechanics, 1992, 43(5), 769-778.
5. Kaynak, C., Ankara, A. and Baker, T. J., Effects of short cracks on fatigue life calculations. International Journal of Fatigue, 1996, 18(1), 25-31.
6. Martin, W. S. and Wirsching, P. H., Fatigue crack initiation-propagation reliability model. Journal of Materials in Civil Engineering, ASCE, 1991, 3(1), 1-18.
7. Min, L., Qing, S. and Qing-Xiong, Y., Large sample size experimental investigation on the statistical nature of fatigue crack initiation and growth. International Journal of Fatigue, 1996, 18(2), 87-94.
8. Kujawski, D. and Ellyin, F., Crack initiation and total fatigue life of a carbon steel in vacuum and air. Journal of Testing and Evaluation, 1992, 20(6), 391-395.
9. Majumdar, S., Chopra, O. K. and Shack, W. J., Interim failure design curves for carbon, low-alloy, and austenitic stainless steels in LWR environments. In Proceedings of 20th WRSM, Vol. 3, NUREG/CP-0126, 3 March 1993.
10. Committee on Fatigue and Fracture Reliability (1982) Fatigue reliability, Journal of the Structural Division, ASCE, 108(ST1), 1-88.
11. Grover, H. J., Fatigue of Metals and Structures. US Government Printing Office, Washington, 1954.
12. Schutz, W., Fatigue life prediction - a review of the state of the art. In Structural Failure, Product Liability and Technical Insurance, Vol. IV, ed. T. Rossmanith, Elsevier, 1993.
13. Miner, M. A., Cumulative damage in fatigue. Journal of Applied Mechanics, 1945, 12, A159-A164.
14. Kutt, T. V. and Bieniek, M. P., Cumulative damage and fatigue life prediction. AIAA Journal, 1988, 26(2), 213-219.
15. Wheeler, O. E., Spectrum loading and crack growth. Journal of Basic Engineering, 1972, 94, 181-186.
16. Paas, M. H. J. W., Schreurs, P. J. G. and Brekelmans, W. A. M., A continuum approach to brittle and fatigue damage: theory and numerical procedures. International Journal of Solids and Structures, 1993, 30(4), 579-599.
17. Pasic, H., A unified approach of fracture and damage mechanics to fatigue damage problems. International Journal of Solids and Structures, 1992, 29(14/15), 1957-1968.
18. Tiejun, W. and Zhiwen, L., A continuum damage model for weld heat affected zone under low cycle fatigue loading. Engineering Fracture Mechanics, 1990, 37(4), 825-829.
19. Manson, S. S., Freche, J. C. and Ensign, C. R., Application of a double linear damage rule to cumulative fatigue. Fatigue Crack Propagation, ASTM STP, 1967, 415, 384-412.
20. Miller, K. J. and Zachariah, K. P., Cumulative damage laws for fatigue crack initiation and stage I propagation. Journal of Strain Analysis, 1977, 12(4), 262-270.
21. Hashin, Z. and Rotem, A., A cumulative damage theory of fatigue failure. Materials Science and Engineering, 1978, 34, 147-160.
22. Krajcinovic, D., Continuum damage mechanics. Applied Mechanics Reviews, 1984, 37(1), 1-6.
23. Simo, J. C. and Ju, J. W., Strain and stress-based continuum damage models-I. International Journal of Solids and Structures, 1987, 23(7), 821-840.
24. Huit, J., Introduction and general overview. In Continuum Damage Mechanics Theory and Applications, eds. D. Krajcinovic and J. Lemaitre, Springer-Verlag, New York, 1987.
25. Hansen, N. R. and Schreyer, H. L., A thermodynamically consistent framework for theories of elastoplasticity coupled with damage. International Journal of Solids and Structures, 1994, 31(3), 359-389.
26. Chaboche, J. L., Continuum damage mechanics-I and II. Journal of Applied Mechanics, 1988, 55, 59-72.
27. Lemaitre, J., How to use damage mechanics. Nuclear Engineering and Design, 1984, 80, 233-245.
28. Dhar, S., Sethuraman, R. and Dixit, P. M., A continuum damage mechanics model for void growth and micro crack initiation. Engineering Fracture Mechanics, 1996, 53(6), 917-928.
29. Chow, C. L. and Wei, Y., A damage mechanics model of fatigue crack initiation in notched plates. Theoretical and Applied Fracture Mechanics, 1991, 16, 123-133.
30. Lemaitre, J., A Course on Damage Mechanics. Springer-Verlag, Dordrecht, The Netherlands, 1992.
31. Kachanov, L. M., Introduction to Continuum Damage Mechanics. Martinus Nijhoff, 1986.
32. DeVree, J. H. P., Brekelmans, W. A. M. and Van Gils, M. A.J., Comparison of nonlocal approaches in continuum damage mechanics. Computers and Structures, 1995, 55(4), 581-588.
33. Sears, F. W. and Salinger, G. L., Thermodynamics, Kinetic Theory and Statistical Thermodynamics. Addison-Wesley, Reading, MA, 1975.
34. McLellan, A. G., The Classical Thermodynamics of Deformable Materials. Cambridge University Press, Cambridge, UK, 1980.
35. Bhattacharya, B., A damage mechanics-based approach to structural deterioration and reliability. PhD Thesis, The Johns Hopkins University, Baltimore, MD 21218, USA, 1997.
36. Maugin, G. A., The Thermomechanics of Plasticity and Fracture. Cambridge University Press, Cambridge, UK, 1992.
37. Krajcinovic, D. and Sumarac, D., Micromechanics of the damage process. In Continuum Damage Mechanics Theory and Applications, ed. D. Krajcinovic and J. Lemaitre. Springer-Verlag, New York, 1987.
38. Endo, T. and Morrow, J., Cyclic stress-strain and fatigue behavior of representative aircraft metals. Journal of Materials JMLSA, 1969, 4(1), 159-175.
39. Chopra, O. K. et al., Environmentally assisted cracking in light water reactors. Report NUREG/CR-4667 ANL-95/2 Vol. 19. US Nuclear Regulatory Commission, Washington, DC, 1995.
40. Boller, C. and Seeger, T., Materials Data for Cyclic Loading, part B. Elsevier, Amsterdam, The Netherlands, 1987.
41. Topper, T. H. and Morrow, J., Simulation of the fatigue behavior at the notch root in spectrum loaded notched members. T. and A. M. Report no 333, Department of Theoretical and Applied Mechanics, University of Illinois, Urbana, IL, 1970.
42. Barsom, J. M. and Rolfe, S. T., Fracture and Fatigue Control in Structures, Prentice-Hall, Englewood Cliffs, NJ, 1987.
43. Chopra, O. K., (of Argonne National Laboratory, Argonne, IL 60439, USA) Personal communication to B. R. Ellingwood regarding report NUREG/CR-6237, 1996.
44. Boyer, H. E., Atlas of Stress-Strain Curves. ASM International, Metals Park, OH, 1987.
45. Lemaitre, J., A continuous damage mechanics model for ductile fracture. Journal of Engineering Materials and Technology, 1985, 107(1), 83-89.