[1. Andrews J.S., Armstrong W. H, (1974), Thrust Chamber Life Prediction, Boeing AeroSspace Company, (NASA-CB-144048).]Search in Google Scholar
[2. Baldwin E. E., Sokol G. J., Coffin L. E (1957), Cyclic strain fatigue studies on AISI 347 stainless steel, Proceedings, American Society for Testing and Materials, 57, 567-586.]Search in Google Scholar
[3. Bennett J. A. (1946), A study of the damaging effect of fatigue stressing on X4130 steel, Proceedings, American Society for Testing and Materials, 46, 693-714.10.6028/jres.037.002]Search in Google Scholar
[4. Bernard-Connolly M., Bui-Quoc T., Biron A. (1983), Multilevel strain controlled fatigue on a type 304 stainless steel, ASME Journal of Engineering Materials and Technology, 105, 188-194.10.1115/1.3225642]Search in Google Scholar
[5. Biron A., Bui-Quoc T. (1981), Cumulative damage concepts with interaction effect consideration for fatigue or creep; a perspective, In Transactions of the 6th International Conference on Structural Mechanical Reaction Technology, Paris, France, L9/1.1-7.]Search in Google Scholar
[6. Bizon P. T., Thoma D. J., Halford G. R. (1985), Interaction of high cycle and low cycle fatigue of Haynes 188 at 1400 F, In Structure Integrity and Durability of Reusable Space Propulsion Systems, NASA CP-2381. NASA Lewis Research Center, Cleveland, OH, pp. 129-138.]Search in Google Scholar
[7. Bluhm J. (1962), A note on fatigue damage, Materials Research and Standards.]Search in Google Scholar
[8. Bui-Quoc T., Dubuc J., Bazergui A., Biron A. (1971), Cumulative fatigue damage under strain controlled conditions, Journal of Materials, 6, 3, 718-737.]Search in Google Scholar
[9. Bui-Quoc T. (1981), An interaction effect consideration in cumulative damage on a mild steel under torsion loading, Proceedings of the 5th International Conference on Fracture, Pergamon Press, 5, 2625-2633.]Search in Google Scholar
[10. Bui-Quoc T. (1982), Cumulative damage with interaction effect due to fatigue under torsion loading, Experimental Mechanics, 22, 180-187.10.1007/BF02327403]Search in Google Scholar
[11. Bui-Quoc T. (1982), A simplified model for cumulative fatigue damage with interaction effects, In Proceedings of the 1982 Joint Conference on Experimental Mechanics, Society for Experimental Stress Analysis, Brookfield Center, CT, 144-149.]Search in Google Scholar
[12. Carpenter R. D., Rabin B. H., Drake J.T. (1993), Finite Element Analysis of Thermal residual Stresses at Graded Ceramic-Metal Interface, Part I. Model Description and Geometrical Effects, J. Appl.Phys., Vol. 74, 2, 13010-1320.]Search in Google Scholar
[13. Chaboche J. L. (1974), A differential law for nonlinear cumulative fatigue damage, In Materials and Building Research, Paris Institut Technique Du Batiment Et Des Travaus Publies, Annales de l'ITBTP, HS No. 39, 117-124.]Search in Google Scholar
[14. Chaboche J. L., Kaczmarek H. (1981), On the interaction of hardening and fatigue damage in the 316 stainless steel, In Proceedings of the 5th International Conference on Fracture (ICF 5), Cannes, Vol. 3, Pergamon Press, Oxford, 1381-1393.]Search in Google Scholar
[15. Chaboche J. L. (1982), Lifetime predictions and cumulative damage under high-temperature conditioned, In Low-cycle Fatigue and Life Prediction, ASTM STP 770, eds. C, Amzallag, B. N, Leis and P.Rabbe, American Society for Testing and Materials, Philadelphia, PA, 81-103.]Search in Google Scholar
[16. Chaboche J. L., Lesne P. M. (1988), A non-linear continuous fatigue damage model, Fatigue and Fracture of Engineering Materials and Structures, 11, 1, 1-7.10.1111/j.1460-2695.1988.tb01216.x]Search in Google Scholar
[17. Coffin L. F. (1956), Design aspects of high-temperature fatigue with particular reference to thermal stresses, Transactions of the ASME, 78, 527-532.10.1115/1.4013722]Search in Google Scholar
[18. Corten H. T., Dolon T. J. (1956), Cumulative fatigue damage.]Search in Google Scholar
[In Proceedings of the International Conference on Fatigue of Metals, Institution of Mechanical Engineering and American Society of Mechanical Engineers, 235-246.]Search in Google Scholar
[19. Dubuc J., Bui-Quoc T., Bazergui A., Biron A. (1971), Unified theory of cumulative damage in metal fatigue. W.R. C. Bulletin, 162, 1-20.]Search in Google Scholar
[20. Dunne F., Petrinic N. (2005), Introduction to Computational Plasticity,Oxford University Press, New York]Search in Google Scholar
[21. French H. J. (1933), Fatigue and hardening of steels, Transactions, American Society of Steel Treating, 21, 899-946.]Search in Google Scholar
[22. Freudenthal A. M. (1956), Physical and statistical aspects of cumulative damage, Springer-Verlag, Berlin, 53-62.10.1007/978-3-642-99854-6_6]Search in Google Scholar
[23. Freudenthal A. M., Heller R. A. (1959), On stress interaction in fatigue and a cumulative damage rule, Journal of the Aerospace Sciences, 26, 7, 431-442.10.2514/8.8131]Search in Google Scholar
[24. Gatts R. R. (1961), Application of a cumulative damage concept to fatigue, ASME Journal of Basic Engineering,83,529-540.10.1115/1.3662256]Search in Google Scholar
[25. Gatts R. R. (1962), Cumulative fatigue damage with random loading, ASME Journal of Basic Engineering, 84, 403-409.10.1115/1.3657337]Search in Google Scholar
[26. Glinka G, Shen G, Plumtree A. (1995), A multiaxial fatigue strain energy density parameter related to the critical plane, Fatigue Fract Eng Mater Struct; 18:37-46.10.1111/j.1460-2695.1995.tb00140.x]Search in Google Scholar
[27. Golos K., Ellyin F. (1987), Generalization of cumulative damage criterion to multilevel cyclic loading, Theoretical and Applied Fracture Mechanics, 7, 169-176.10.1016/0167-8442(87)90032-2]Search in Google Scholar
[28. Golos K., Ellyin F. (1988), A total strain energy density theory for cumulative fatigue damage, ASME Journal of Pressure Vessel Technology, 110, 36-41.10.1115/1.3265565]Search in Google Scholar
[29. Golos K., Ellyin F. (1989), Total strain energy density as a fatigue damage parameter, In Advances in Fatigue Science and Technology, Proceedings of the NATO Advanced Study Institute, cd. C. M.Branco and L. G. Rosa. Kluwer Academic, 849-859.]Search in Google Scholar
[30. Grover H. J. (1960), An observation concerning the cycle ratio in cumulative damage, American Society for Testing and Materials, Philadelphia, PA , 120-124.10.1520/STP45928S]Search in Google Scholar
[31. Halford G. R. (1966), The energy required for fatigue, Journal of Materials, 1(1), 3-18.]Search in Google Scholar
[32. Halford G. R., Manson S. S. (1985), Reexamination of cumulative fatigue damage laws, In Structure Integrity and Durability of Reusable Space Propulsion Systems, NASA CP-2381. NASA, 139-145.]Search in Google Scholar
[33. Henry D. L. (1955), A theory of fatigue damage accumulation in steel, Transactions of the ASME, 77, 913-918.10.1115/1.4014547]Search in Google Scholar
[34. Hua C. T., Socie D., F. (1984), Fatigue damage in 1045 steel under constant amplitude biaxial loading, Fatigue of Engineering Materials and Structures, 7, 3, 165-179.10.1111/j.1460-2695.1984.tb00187.x]Search in Google Scholar
[35. Inglis N. P. (1927), Hysteresis and fatigue of Wohler rotating cantilever specimen, The Metallurgist, 23-27.]Search in Google Scholar
[36. Kachanov L. M. (1969), Time to the rupture process under creep conditions, Izvestiia AN SSSR, 1984, OTN(8), 26-31.]Search in Google Scholar
[37. Kommers J. B. (1945), The effect of overstress in fatigue on the endurance life of steel, Proceedings, American Society for Testing and Materials, 45, 532-541.]Search in Google Scholar
[38. Kujawski D., Ellyin F. (1984), A cumulative damage theory of fatigue crack initiation and propagation, International Journal of Fatigue, 6, 2, 83-88.10.1016/0142-1123(84)90017-3]Search in Google Scholar
[39. Lagoda T. (2001), Energy models for fatigue life estimation under uniaxial random loading. Part I: The model elaboration. Int. J.Fatigue; 23:467-80.10.1016/S0142-1123(01)00016-0]Search in Google Scholar
[40. Langer B. F. (1937), Fatigue failure from stress cycles of varying amplitude, ASME Journal of Applied Mechanics, 59, AI60-AI62.]Search in Google Scholar
[41. Leis B. N. (1988), A nonlinear history-dependent damage model for low cycle fatigue, Low Cycle Fatigue, ASTM STP 942.]Search in Google Scholar
[42. Leis B. N. (1997), An energy-based fatigue and creep-fatigue damage parameter, Journal of Pressure Vessel and Technology, ASME Transactions, 99(4), 52-+-533.10.1115/1.3454571]Search in Google Scholar
[43. Lemaitre J., Chaboche J. L. (1978), Aspect phenomenologique de la ruptutre par endommagement, Journal Mecanique Appliquee, 2(3), 317-365.]Search in Google Scholar
[44. Lemaitre J., Plumtree A. (1979), Application of damage concepts to predict creep-fatigue failures, ASME Journal of Engineering Materials and Technology, 101, 284-292.10.1115/1.3443689]Search in Google Scholar
[45. Lemaitre J., Chaboche J. L. (1990), Mechanics of Solid Materials, trans. B. Shrivastava, Cambridge University Press, Cambridge, UK.10.1017/CBO9781139167970]Search in Google Scholar
[46. Li C., Qian Z. and Li G. (1989), The fatigue damage criterion and evolution equation containing material microparameters, Engineering Fracture Mechanics, 34(2), 435-443.10.1016/0013-7944(89)90156-2]Search in Google Scholar
[47. LLorca J. (2002), Fatigue of particle-and whisker-reinforced metalmatrix composites, Progress in Materials Science, 47, 283-353.10.1016/S0079-6425(00)00006-2]Search in Google Scholar
[48. Machlin E. S. (1949), Dislocation theory of the fatigue of metals, N.A.C.A. Report 929.]Search in Google Scholar
[49. Manson S. S. (1966), Interfaces between fatigue, creep, and fracture, International Journal of Fracture Mechanics, 2, 328-363.10.1007/BF00698478]Search in Google Scholar
[50. Manson S. S., Halford G. R. (1981), Practical implementation of the double linear damage rule and damage curve approach for treating cumulative fatigue damage, International Journal of Fracture, 17(2), 169-192.10.1007/BF00053519]Search in Google Scholar
[51. Manson S. S., Halford G. R. (1983), Complexities of hightemperature metal fatigue: some steps toward understanding, Israel Journal of Technology, 21, 29-53.]Search in Google Scholar
[52. Marco S. M., Starkey W. L. (1954), A concept of fatigue damage, Transactions of the ASME, 76, 627-632.10.1115/1.4014922]Search in Google Scholar
[53. Miner M. A. (1945), Cumulative damage in fatigue. Journal of Applied Mechanics, 67, AI59-AI64.10.1115/1.4009458]Search in Google Scholar
[54. Morrow J. D. (1965), Cycle plastic strain energy and fatigue of metals. In Internal Friction, Damping, and Cyclic Plasticity, ASTM STP 378, American Society for Testing and Materials, Philadelphia, PA, 45-84.]Search in Google Scholar
[55. Niu X. D. (1987), Memory behavior of stress amplitude responses and fatigue damage model of a hot-rolled low carbon steel. In Mechanical Behavior of Materials-V, Proceedings of the Fifth International Conference, Vol. 1, ed. M. G. Yan, S. H. Zhang and Z.10.1016/B978-0-08-034912-1.50093-X]Search in Google Scholar
[M. Zheng., Pergamon Press, Oxford, 685-690.]Search in Google Scholar
[56. Niu X., Li G. X., Lee H. (1987), Hardening law and fatigue damage of a cyclic hardening metal, Engineering Fracture Mechanics, 26(2), 163-170.10.1016/0013-7944(87)90194-9]Search in Google Scholar
[57. Palmgren A. (1924), Die Lebensdauer von Kugellagern, Veifahrenstechinik, Berlin, 68, 339-341.]Search in Google Scholar
[58. Plumtree A. and O'Connor B. P. D. (1989), Damage accumulation and fatigue crack propagation in a squeeze-formed aluminum alloy, International Journal of Fatigue, 11, 4, 249-254.10.1016/0142-1123(89)90308-3]Search in Google Scholar
[59. Rabotnov Y. N. (1969), Creep Problems in Structural Members, North-Holland, Amsterdam.]Search in Google Scholar
[60. Radhakrishnan V. M. (1978), Cumulative damage in low-cycle fatigue, Experimental Mechanics, 18, 8, 292-296.10.1007/BF02324159]Search in Google Scholar
[61. Radhakrishnan V. M. (1980), An analysis of low cycle fatigue based on hysteresis energy, Fatigue of Engineering Materials and Structures, 3, 75-84.10.1111/j.1460-2695.1980.tb01105.x]Search in Google Scholar
[62. Richart F. E., Newmark N. M. (1948), A hypothesis for the determination of cumulative damage in fatigue, Proceedings, American Society for Testing and Materials, 48, 767-800.]Search in Google Scholar
[63. Seweryn A, Buczyński A, Szusta J. (2008), Damage accumulation model for low cycle fatigue, Int. J. Fatigue, 1, 30:756-65.10.1016/j.ijfatigue.2007.03.019]Search in Google Scholar
[64. Shanley F. R. (1952), A theory of fatigue based on unbonding during reversed slip, Report P-350, The Rand Corporation, Santa Monica.]Search in Google Scholar
[65. Socie D. F., Fash J. W., Leckie F. A. (1983), A continuum damage model for fatigue analysis of cast iron, In Advances in Life Prediction Methods, ed, D. A. Woodford and J, R. Whitehead, The American Society of Mechanical Engineers, New York, 59-64.]Search in Google Scholar
[66. Sutton Ch. E. (2009), Fatigue damage assessment of particlereinforced metal matrix composite materials under uniaxial and multiaxial loadings conditions, Digital Commons @ Ryerson, Toronto, Ontario.]Search in Google Scholar
[67. Tamura I., Tomota Y., Ozawa H. (1973), Strength and ductility of Fe-Ni-C alloys composed of austenite and martensite with various strength, Proceedings of the Third International Conference on Strength of Metals and Alloys, Vol. 1. Cambridge: Institute of Metals; 611-5.]Search in Google Scholar
[68. Valluri S. R. (1961), A unified engineering theory of high stress level fatigue, Aerospace Engineering, 20, 18-19.]Search in Google Scholar
[69. Valluri S. R. (1961), A theory of cumulative damage in fatigue.]Search in Google Scholar
[Report No. ARL 182, Aeronautical Research Laboratory, Office of Aerospace Research, United States Air Force.]Search in Google Scholar
[70. Weinacht D. J., Socie D. F. (1987), Fatigue damage accumulation in grey cast iron, International Journal of Fatigue, 9, 2, 79-86.10.1016/0142-1123(87)90048-X]Search in Google Scholar
[71. Wheeler O. E. (1972), Spectrum loading and crack growth, ASME Journal of Basic Engineering, D94(1), 181-186.10.1115/1.3425362]Search in Google Scholar
[72. Willenborg J., Engle R. M., Wood H. A. (1971), A crack growth retardation model using an effective stress concept, AFFDL TM71-IFBR.10.21236/ADA956517]Search in Google Scholar
[73. Williamson R. L., Rabin B. H., Drake J. T. (1993), Finite Element Analysis of Thermal residual Stresses at Graded Ceramic-Metal Interface, Part I. Model Description and Geometrical Effects, J. Appl. Phys., Vol. 74, 2, 13010-1320.10.1063/1.354910]Search in Google Scholar
[74. Zuchowski R. (1989), Specific strain work as both failure criterion and material damage measure, Res Mechanica, 27(4), 309-322. ]Search in Google Scholar