Critical plane-energy based approach for assessment of biaxial fatigue damage where the stress-time axes are at different frequencies

European Structural Integrity Society

Volumn 31, Issue C, 2003, Pages 203-221

  Varvani Farahani, A ^a  

^a RYERSON UNIVERSITY   (Canada)

Author keywords

block loading history; critical plane; Fatigue damage parameter; loading frequency ratio; shear and normal energies

Indexed keywords

EID: 18844445346     PISSN: 15661369     EISSN: None     Source Type: Book Series    
DOI: 10.1016/S1566-1369(03)80012-2     Document Type: Article

References (38)

1. Garud Y.S. Multiaxial fatigue: a survey of the state of the art. J Test Eval 9 3 (1981) 165-178
2. Brown M.W., and Miller K.J. Two decades of progress in the assessment of multiaxial low-cycle fatigue life. In: Amzallag C., Leis B., and Rabbe P. (Eds). Low-cycle fatigue and life prediction. ASTM STP 770 (1982), American Society for Testing and Materials 482-499
3. You B.R., and Lee S.B. A critical review on multiaxial fatigue assessment of metals. Int. J. Fatigue 18 4 (1996) 235-244
4. pp. 507-518. Jordan E.H. Pressure vessel and piping design technology-A decade of progress (1982), ASME, American Society of Mechanical Engineers
5. Garud Y.S. A new approach to the evaluation of fatigue under multiaxial loadings. In: Ostergren W.J., and Whitehead J.R. (Eds). Proceedings of the Symposium on Methods for Predicting Materials Life in Fatigue (1979), American Society of Mechanical Engineers, New York 247-263
6. Garud Y.S. A new approach to the evaluation of fatigue under multiaxial loadings. J Engng Mater Tech., Transaction of the ASME 103 (1981) 118-125
7. Ellyin F., and Kujawski F. In: McDowell D.L., and Ellis R. (Eds). Advances in Multiaxial fatigue. ASTM STP 1191 (1993), American Society for Testing and Materials, Philadelphia 55-66
8. Ellyin F., Golos K., and Xia Z. In-phase and Out-of-phase Multiaxial Fatigue. J Engng Mater Tech. 113 (1991) 411-416
9. Brown M.W., and Miller K.J. A theory for fatigue under multiaxial stress-strain conditions. Proc Inst Mech Eng. 187 (1973) 745-755
10. Findley W.N. A theory for the effect of mean stress on fatigue of metals under combined torsion and axial load or bending. J Engng Ind. (1959) 301-306
11. London. Flavenot J.F., and Skalli N. A critical depth criterion for evaluation of long life fatigue strength under multiaxial loadings and stress gradient. In: Brown M.W., and Miller K.J. (Eds). Biaxial and Multiaxial Fatigue. ESIS Publication no. EGF3 (1989) 355-365
12. Stulen F.B., and Cummings H.N. Proc. ASTM 54 (1954) 822-835
13. Carpinteri A., and Spagnoli A. Multiaxial high-cycle fatigue criterion for hard metals. Int. J. Fatigue 23 2 (2001) 135-145
14. Liu K.C. A method based on virtual strain-energy parameters for multiaxial fatigue. In: McDowell D.L., and Ellis R. (Eds). ASTM STP 1191 (1993), American Society for Testing and Materials, Philadelphia 67-84
15. Chu C.C., Conle F.A., and Bonnen J.F. Multiaxial stress-strain modeling and fatigue life prediction of SAE axle shafts. In: McDowell D.L., and Ellis R. (Eds). ASTM STP 1191 (1993), American Society for Testing and Materials, Philadelphia 37-54
16. Glinka G., Shen G., and Plumtree A. A multiaxial fatigue strain energy density parameter related to the critical plane. Fatigue Fract Engng Mater Struct. 18 (1995) 37-46
17. Varvani-Farahani A. A new energy-critical plane parameter for fatigue life assessment of various metallic materials subjected to in-phase and out-of-phase multiaxial fatigue load. Int. J. Fatigue 22 (2000) 295-305
18. Macha E., and Sonsino C.M. Energy criterion of multiaxial fatigue failure. Fatigue Fract Engng Mater Struct 22 (1999) 1053-1070
19. Mroz Z. On the description of anisotropic workhardening. J.Mech. Phys. Solids 15 (1967) 163-175
20. McDiarmid D.L. Fatigue under out-of-phase biaxial stresses of different frequencies. In: Miller K.J., and Brown M.W. (Eds). Multiaxial Fatigue. ASTM STP 853 (1985), American Society for Testing and Materials, Philadelphia 606-621
21. McDiarmid D.L. The effect of mean stress on biaxial fatigue where the stresses are out-of-phase and at different frequencies. In: Brown M.W., and Miller K.J. (Eds). Biaxial and Multiaxial Fatigue (1989), EGF3, London 605-619
22. London. McDiarmid D.L. Mean stress effects in biaxial fatigue where the stresses are out-of-phase and at different frequencies. In: Kussmual K., McDiarmid D., and Socie D. (Eds). ESIS 10 (1991) 321-335
23. Varvani-Farahani A., and Topper T.H. A new multiaxial fatigue life and crack growth rate model for various in-phase and out-of-phase strain paths. In: Kalluri S., and Bonacuse P.J. (Eds). Multiaxial Fatigue Deformation: Testing and Prediction. ASTM STP 1387 (2000), American Society for Testing and Materials, Philadelphia 305-322
24. th International Conference of the engineering Integrity Society (2000), University of Cambridge, UK 313-332
25. Tipton S.M. Fatigue behavior under multiaxial loading in the presence of a notch: methodologies for the prediction of life to crack initiation and life spent in crack pro. Ph. D. thesis (1984), Mechanical Engineering Department, Satnford University, Stanford, CA
26. Andrews R.M. High temperature fatigue of AISI 316 stainless steel under complex biaxial loading. Ph.D. thesis (1986), University of Sheffield, UK
27. Socie D. Multiaxial fatigue damage models. J Eng Mater Technol 109 (1987) 293-298
28. Socie D., and Marquis G. Multiaxial Fatigue (2000), Society of Automotive Engineers SAE International
29. Kanazawa K., Miller K.J., and Brown M.W. Cyclic deformation of 1% Cr-Mo-V steel under out-of-phase loads. Fatigue Eng Mater and Struct. 2 (1979) 217-228
30. Sines G. The prediction of fatigue fracture under combined stresses at stress concentrations. Bull Jpn Soc Mech Eng. 4 15 (1961) 443-453
31. Smith J.O. Effect of range of stress on fatigue strength of metals. Engineering Experiment Station, Bul no. 334 39 (1942), University of Illinois 26
32. Bergmann J., Klee S., and Seeger T. Effect of mean strain and mean stress on the cyclic stress-strain and fracture behavior of steel StE70. Materialpruefung 19 1 (1977) 10-17
33. Fatemi A., and Socie D. A critical plane approach to multiaxial fatigue damage including out-of-phase loading. Fatigue Fract Engng Mater Struct 11 (1988) 149-165
34. Au P., Topper T.H., and El Haddad M. The effect of compressive load on the threshold stress intensity for short cracks. AGARD Conference Proceedings No.328, Behavior of Short Cracks in Airframe Components. Toronto, Canada (1982) 19-24
35. Yu M.T., Topper T.H., and Au P. The effects of stress ratio, compressive load and underload on threshold behavior of a 2024-T351 aluminum alloy. In: Beevers C.J. (Ed). Proceedings, Fatigue 84 Vol.1 (1984) 179-190
36. Yu M.T., and Topper T.H. The effects of materials strength, stress ratio and compressive overload on the threshold behavior of a SAE 1045 steel. ASTM Journal of Engineering Materials and Technology 107 (1985) 19-25
37. DuQuesnay D.L., Pompetzki M.A., Topper T.H., and Yu M.T. Effects of compression and compressive overloads on the fatigue behavior of a 2024-T351 aluminum alloy and a SAE 1045 steel. In: Solomon H.D., Halford G.R., Kaisand L.R., and Leis B.N. (Eds). ASTM STP 942 (1988), American Society for Testing and Materials, Philadelphia 173-183
38. Varvani-Farahani A., and Topper T.H. Crack growth and closure mechanisms of shear cracks under constant amplitude biaxial straining and periodic compressive overstraining in 1045 steel. Int. J. Fatigue 9 7 (1997) 589-596