A review of critical plane orientations in multiaxial fatigue failure criteria of metallic materials

International Journal of Fracture

Volumn 134, Issue 3-4, 2005, Pages 267-304

  Karolczuk, Aleksander ^a   Macha, Ewald ^a  

^a OPOLE UNIVERSITY OF TECHNOLOGY   (Poland)

Author keywords

Critical and fracture plane; Fatigue failure criteria; Multiaxial loading

Indexed keywords

FAILURE (MECHANICAL); FATIGUE OF MATERIALS; LOAD TESTING; MATHEMATICAL MODELS; METAL TESTING; SHEAR STRESS; STRAIN;

CRITICAL AND FRACTURE PLANE; FATIGUE FAILURE CRITERIA; MULTIAXIAL LOADING; STRAIN ENERGY DENSITY;

FRACTURE MECHANICS;

EID: 27844443158     PISSN: 03769429     EISSN: 15732673     Source Type: Journal    
DOI: 10.1007/s10704-005-1088-2     Document Type: Review

References (83)

1. B. Alfredsson and M. Olsson 2001 Applying multiaxial fatigue criteria to standing contact fatigue International Journal of Fatigue 23 533-548 10.1016/S0142-1123(01)00008-1
2. ASTM E 1049-85 (REAPPROVED 1997): Standard practices for cycle counting in fatigue analysis. In: Annual Book of ASTM Standards, Vol. 03.01, Philadelphia (1999), pp. 710-718.
3. A. Banvillet T. Lagoda E. Macha A. Nieslony T. Palin-Luc and J.-F. Vittori 2004 Fatigue life under non-Gaussian random loading from various models International Journal of Fatigue 26 349-363 10.1016/ j.ijfatigue.2003.08.017
4. M. Backstrom and G. Marquis 2001 A review of multiaxial fatigue of weldments: Experimental results, design code and critical plane approaches Fatigue of Engineering Materials and Structures 24 279-291
5. W. Bedkowski E. Macha M. Ohnami and M. Sakane 1995 Fracture plane of cruciform specimen in biaxial low cycle fatigue - estimate by variance method and experimental verification Journal of Engineering Materials and Technology 117 183-190
6. Berard J.Y., McDowell D.L. and Antolovich, S.D. (1993). Damage observation of a low-carbon steel under tension-torsion low cycle fatigue. In Advances in Multiaxial Fatigue (Edited by McDowell, D.L., R. Ellis, R.). American Society for Testing and Materials STP 1191. Philadelphia pp. 326-344.
7. M.W. Brown and K.J. Miller 1973 A theory for fatigue failure under multiaxial stress-strain conditions Proceedings of the Institute of Mechanical Engineers 187 745-755
8. M.W. Brown and K.J. Miller 1979 Initiation and growth of cracks in biaxial fatigue Fatigue of Engineering Materials and Structures 1 231-246
9. A. Carpinteri E. Macha R. Brighenti and A. Spagnoli 1999a Expected principal stress directions under multiaxial random loading Part I: Theoretical aspects of the weight function method International Journal of Fatigue 21 83-88
10. A. Carpinteri E. Macha R. Brighenti and A. Spagnoli 1999b Expected principal stress directions under multiaxial random loading. Part II: Numerical simulation and experimental assessment through the weight function method International Journal of Fatigue 21 89-96
11. A. Carpinteri and A. Spagnoli 2001 Multiaxial high-cycle fatigue criterion for hard metals International Journal of Fatigue 23 135-145 10.1016/S0142-1123(00)00075-X
12. A. Carpinteri A. Spagnoli and A.S. Vantadori 2003 A multiaxial fatigue criterion for random loading Fatigue of Engineering Materials and Structures 26 515-522
13. X. Chen S. Xu and D. Huang 1999 A critical plane-strain energy density criterion for multiaxial low-cycle fatigue life under non-proportional loading Fatigue of Engineering Materials and Structures 22 679-686
14. A. Constantinescu K. Dang Van and H. Maitournam 2003 A unified approach for high and low cycle fatigue based on shakedown concepts Fatigue of Engineering Materials and Structures 26 561-568
15. Cox H.L. and Field J.E. The initiation and propagation of fatigue cracks in mild steel pieces of square section. The Aeuronautical Quarterly IV, 1-19.
16. Dang Van, K. (1983). Macro-micro approach in high-cycle multiaxial fatigue. In Advances in Multiaxial Fatigue. (Edited by McDowell, D.L. and Ellis, R.) American Society for Testing and Materials STP 1191. Philadelphia (1993) pp. 120-130
17. K. Dang Van G. Cailletaud J.F. Flavenot A. Douaron Le and H.P. Lieurade 1989 Criterion for high cycle fatigue failure under multiaxial loading (Edited by M. Brown and K.J. Miller) In Biaxial and Multiaxial Fatigue Mechanical Engineering Publications London pp. 459-478
18. J. Das and S.M. Sivakumar 1999 An evaluation of multiaxial assessment methods for engineering components International Journal of Pressure Vessels and Piping 76 741-646 10.1016/S0308-0161(99)00053-8
19. J. Das and S.M. Sivakumar 2000 Multiaxial fatigue life prediction of a high temperature steam turbine rotor using a critical plane approach Engineering Failure Analysis 7 347-358
20. H. Dietmann T. Bhongbhibhat and A. Schmid 1976 Multiaxial fatigue behaviour of steels under in-phase and out-of-phase loading, including different wave forms and frequencies. In K. Kussmaul, D. McDiarmid and D. Socie (eds.), Fatigue Under Biaxial and Multiaxial Loading Mechanical Engineering Publications London pp. 449-469 ESIS10 (edited by Kussmaul, D.).
21. A. Fatemi and P. Kurath 1998 Multiaxial fatigue life predictions under the influance of mean-stresses Transaction of ASME Journal of Engineering and Technology 110 380-388
22. A. Fatemi and D.F. Socie 1988 A critical plane approach to multiaxial fatigue damage including out-of-phase loading Fatigue of Engineering Materials and Structures 11 149-165
23. Findley, W.N. (1959). A theory for the effect of mean stress on fatigue of metals under combined torsion and axial load or bending. Journal of Engineering for Industry November, 301-306.
24. Forsyth, P.J.E. (1961). A two-stage process of fatigue crack growth. Proceedings of the Symposium on Crack Propagation, Cranfield, England, 76-94.
25. C. Froustey and S. Lasserre 1989 Multiaxial fatigue endurance of 30NCD16 steel International Journal of Fatigue 11 169-175 10.1016/ 0142-1123(89)90436-2
26. G. Glinka G. Shen and A. Plumtree 1995a A multiaxial fatigue strain energy density parameter related to the critical fracture plane Fatigue of Engineering Materials and Structures 18 37-46
27. G. Glinka G. Shen and A. Plumtree 1995 Mean stress effects in multiaxial fatigue Fatigue of Engineering Materials and Structures 18 755-764
28. Grubisic, V. and Simbürger, A. (1976). Fatigue under combined out-of-phase multiaxial stresses. International Conference on Fatigue, Testing and Design. Society of Environmental Engineers, London, 8 pp.
29. C. Han X. Chen and K.S. Kim 2002 Evaluation of multiaxial fatigue criteria under irregular loading International Journal of Fatigue 24 913-922 10.1016/S0142-1123(02)00013-0
30. Hoffmeyer, J., Döring, R., Seeger, T. and Vormwald, M. (2001). Short fatigue crack growth under multiaxial nonproportional loading. In 10th International Conference on Fracture. Elsevier Science, CD, 8 pp.
31. Itoh, T., Karolczuk, A., Lachowicz, C.T. and Macha, E. (2004) Energy models of fatigue life of steels and an aluminium alloy under nonproportional loading, Proceedings of the 7th International Conference on Biaxial/Multiaxial Fatigue and Fracture, DVM, Berlin, pp. 57-62.
32. F.A. Kandil M.W. Brown and K.J. Miller 1988 Biaxial low-cycle fatigue fracture of 316 stainless steel at elevated temperatures The Metals Society London 203-210 Book 280
33. Kenmeugne, B., Weber, B., Carmet, A. and Robert, J.L. (1997). A stress-based approach for fatigue assessment under multiaxial variable amplitude loading. In Proceedings of 5th International Conference on Biaxial/Multiaxial Fatigue & Fracture (Edited by Macha, E. and Mróz, Z.). Technical University of Opole, pp. 557-573.
34. K.S. Kim and J.C. Park 1999 Shear strain based multiaxial fatigue parameter applied to variable amplitude loading International Journal of Fatigue 21 475-483 10.1016/S0142-1123(98)00091-7
35. M. Küppers and C.M. Sonsino 2003 Critical plane approach for the assessment of the fatigue behaviour of welded aluminium under multiaxial loading Fatigue of Engineering Materials and Structures 26 507-513
36. T. Lagoda and E. Macha 1997 Estimated and experimental fatigue lives of 30CrNiMo8 steel under in- and out-of-phase combined bending and torsion with variable amplitudes Fatigue & Fracture of Engineering Materials & Structures 17 1307-1318
37. Lagoda, T. and Macha, E. (1997). Fatigue life under biaxial stress state with different cross-correlation coefficients of normal stresses. In Proceedings of 9th International Conference of Fracture, Vol. 3. (Edited by Karihaloo, B.L., Mai, Y-W., Ripley, M.I. and Ritchie R.O.) Pergamon, pp. 1371-1377.
38. T. Lagoda E. Macha and W. Bedkowski 1999 A critical plane approach based on energy concepts: Application to biaxial random tension-compression high-cycle fatigue regime International Journal of Fatigue 21 431-443 10.1016/S0142-1123(99)00003-1
39. T. Lagoda 2001 Energy models for fatigue life estimation under uniaxial random loading. Part II: Verification of the model International Journal of Fatigue 23 481-489
40. B.L. Lee K.S. Kim and K.M. Nam 2003 Fatigue analysis under variable amplitude loading using an energy parameter International Journal of Fatigue 25 621-631 10.1016/S0142-1123(02)00169-X
41. Liu, K.C. (1993). A method based on virtual strain-energy parameters for multiaxial fatigue life prediction. in Advances in Multiaxial Fatigue (edited by McDowell, D.L. and Ellis, R.). American Society for Testing and Materials STP 1191, Philadelphia, pp. 67-84.
42. K.C. Liu and J.A. Wang 2001 An energy method for predicting fatigue life, crack orientation, and crack growth under multiaxial loading condition International Journal of Fatigue 23 S129-S134 10.1016/ S0142-1123(01)00169-4
43. R.D. Lohr and E.G. Ellison 1980 A simple theory for low cycle multiaxial fatigue Fatigue of Engineering Materials and Structures 3 1-17
44. C.D. Lykins S. Mall and V. Jain 2000 An evaluation of parameters for predicting fretting fatigue crack initiation International Journal of Fatigue 22 703-716 10.1016/S0142-1123(00)00036-0
45. Macha, E. (1979). Mathematical models of the life to fracture for materials subjected to random complex stress systems. Scientific Papers of the Institute of Materials Science and Applied Mechanics of Wroclaw Technical University 41, Monographs 13, Wroclaw (1979) 99 pp. (in polish)
46. E. Macha 1989 Simulation investigations of the position of fatigue plane in materials with biaxial loads Material-wissenschaft und Werkstofftechnik 20 132-136 and 153-163
47. Macha, E. (1998). Generalization of Strain Criteria of Multiaxial Cyclic Fatigue To Random Loadings. Technical University of Opole, Vol. 23, Opole, 89 pp. (in polish)
48. E. Macha and C.M. Sonsino 1999 Energy criteria of multiaxial fatigue failure Fatigue of Engineering Materials and Structures 22 1053-1070
49. E. Macha 2001 A review of energy-based multiaxial fatigue failure criteria The Archive of Mechanical Engineering XLVIII 71-101
50. Marquis G.B. and Karjalainen-Roikonen P. Long-life multiaxial fatigue of SG cast iron. In Proceedings of 6th International Conference on Biaxial/ Multiaxial Fatigue & Fracture (Edited by Freitas, M.). Instituto Superior Tecnico, Lisboa, pp. 151-158.
51. T. Matake 1977 An explanation on fatigue limit under combined stress Bulletin of the The Japan Society of Mechanical Engineers 20 257-263
52. McDiarmid, D.L. (1985). Fatigue under out-of-phase biaxial stresses of different frequencies. In Multiaxial Fatigue. (Edited by Miller, K.M. and Brown, M.W) American Society for Testing and Materials STP 853, 606-621.
53. D.L. McDiarmid 1987 Fatigue under out-of-phase bending and torsion Fatigue of Engineering Materials and Structures 9 457-475
54. D.L. McDiarmid 1990 A general criterion for high cycle multiaxial fatigue failure Fatigue of Engineering Materials and Structures 14 429-453
55. A. Nitta T. Ogata and K. Kuwabara 1989 Fracture mechanisms and life assessment under high-strain biaxial cyclic loading of type 304 stainless steel Fatigue of Engineering Materials and Structures 12 77-92
56. Ogata, T., Nitta, A. and Kuwabara, K. (1989). Biaxial low cycle fatigue failure of type 304 stainless steel under in-phase and out-of-phase straining conditions. In Fatigue under Biaxial and Multiaxial Loading (Edited by kussmaul, K.F., McDiarmid, D.L. and Socie D.S.). MPA Univ. Stuttgart, pp. 377-392.
57. W. Pan C. Hung and L. Chen 1997 Fatigue life estimation under multiaxial loadings International Journal of Fatigue 21 3-10
58. I.V. Papadopoulos 2001 Long life fatigue under multiaxial loading International Journal of Fatigue 23 831-849 10.1016/S0142-1123(01)00059-7
59. I.V. Papadopoulos P. Davoli C. Gorla M. Filippini and A. Bernasconi 1997 A comparative study of multiaxial high-cycle fatigue criteria for metals International Journal of Fatigue 19 219-235 10.1016/S0142-1123(96)00064-3
60. J. Park and D. Nelson 2000 Evaluation of an energy-based approach and a critical plane approach for predicting constant amplitude multiaxial fatigue life International Journal of Fatigue 22 23-39
61. R. Rolovic and S.M. Tipton 1999 An energy based critical plane approach to multiaxial fatigue analysis (Edited by T.L. Panontin and S.D. Shepard) In Fatigue and Fracture Mechanics West Conshohocken PA 599-613 American Society for Testing and Materials STP 1332
62. M. Sakane M. Ohnami and M. Sawada 1987 Fracture modes and low cycle biaxial fatigue life at elevated temperature Journal of Engineering Materials and Technology 109 236-243
63. G. Savaidis and T. Seeger 1997 Material behaviour and life evaluation under cyclic multiaxial proportional loading (Edited by Z. Macha and Z. Mróz) In Biaxial/Multiaxial Fatigue & Fracture Technical University of Opole Opole 81-98
64. K.N. Smith P. Watson and T.H. Topper 1976 A stress-strain function for the fatigue of metals Journal of Materials JMLSA 5 767-778
65. D.F. Socie 1987 Multiaxial fatigue damage models Journal of Engineering Materials and Technology 109 292-298
66. D.F. Socie and G.B. Marquis 2001 Multiaxial Fatigue Society of Automotive Engineers Inc. Warrendale Pa 484 pp.
67. Socie, D.F., Waill, L.A. and Dittmer, D.F. (1985). Biaxial fatigue of Inconel 718 including mean stress effects. In Multiaxial Fatigue (edited by Miller, K.J. and Brown, M.W.). American Society for Testing and Materials STP 853, Philadelphia, pp. 463-481.
68. C.M. Sonsino 1995 Multiaxial fatigue of welded joints under in-phase and out-of-phase local strains and stresses International Journal of Fatigue 17 55-70 10.1016/0142-1123(95)93051-3
69. A. Spagnoli 2001 A new high-cycle fatigue criterion applied to out-of-phase biaxial stress state International Journal of Mechanical Sciences 43 2581-2595 10.1016/S0020-7403(01)00053-4 01699093
70. Stanfield G. (1935). Discussion on "The strength of metals under combined alternating stresses". by H. Gough and H. Pollard. Proceeding of the Institution of Mechanical Engineers 131, 93.
71. F.B. Stulen and H.N. Cummings 1954 A failure criterion for multiaxial fatigue stresses Proceedings of the ASTM 54 822-835
72. Susmel, L. and Petrone, N. (2001). Fatigue life prediction for 6082-T6 cylindrical specimens subjected to in-phase and out-of-phase bending/ torsion loadings. In Proc. 6th International Conference on Biaxial/ Multiaxial Fatigue & Fracture (edite by freitas, ed.). Instituto Superior Tecnico, Lisboa pp. 125-132.
73. S. Taira T. Inoue and M. Takabashi 1969 Low-cycle fatigue under multiaxial stresses (in the case of combined cyclic tension-compression and cyclic torsion at room temperature), Trans The Japan Society of Mechanical Engineers 35 525-532
74. S.M. Tipton and D.V. Nelson 1997 Advances in multiaxial fatigue life prediction for components with stress concentrations International Journal of Fatigue 19 503-515 10.1016/S0142-1123(96)00070-9
75. A. Varvani-Farahani 2000 A new energy-critical plane parameter for fatigue life assessment of various metallic materials subjected to in-phase and out-of-phase multiaxial fatigue loading conditions International Journal of Fatigue 22 295-305 10.1016/S0142-1123(00)00002-5
76. Varvani-Farahani, A. and Topper, T.H. (2000). A new multiaxial fatigue life and crack growth rate model for various in-phase and out-of-phase strain paths. In Multiaxial Fatigue Deformation: Testing and Prediction. American Society for Testing and Materials STP 1387, West Conshohocken, PA, pp. 305-322
77. E. Vidal B. Kenmeugne J.L. Robert and J. Bahuaud 1996 Fatigue life prediction of components using multiaxial criteria (Edited by A. Pineau, G. Cailletaud and T.C. Lindley) In Multiaxial Fatigue and Design, ESIS 21. Mechanical Engineering Publications London 365-378
78. C.H. Wang and M.W. Brown 1993 A path-independant parameter for fatigue under proportional and non-proportional loading Fatigue of Engineering Materials and Structures 16 1285-1293
79. Ying-Yu Wang and Wei-Xing Yao 2004 Evaluation and comparison of several multiaxial fatigue criteria International Journal of Fatigue 26 17-25 10.1016/S0142-1123(03)00110-5 2106053
80. Weber, B., Clement, J.C., Kenmeugne, B. and Robert, J.L. (1999a). On a global stress-based approach for fatigue assessment under multuiaxial random loading. In Engineering Against Fatigue (Edited by Beynon, J.H., Brown, M.W., Lindley, T.C., Smith, R.A. and Tomkins, B.). Rotterdam, pp. 407-414.
81. Weber, B., Clement, J.C., Kenmeugne, B. and Robert, J.L. (1999b). A stress-based approach for fatigue assessment under multiaxial variable amplitude loading. In Multiaxial Fatigue and Fracture ESIS Publications 25, Elsevier (Edited by Macha, E., Bedkowski W. and Lagoda T.). Amsterdam, pp. 218-231.
82. A. Zolochevsky Y. Obataya and J. Betten 2000 Critical plane approach with two families of microcracks for modelling of uniteral fatigue damage Forschung im Ingenieurwesen 66 49-56
83. Zenner H., Simbürger A. and Liu J. On the fatigue limit of ductile metals under complex multiaxial loading. International Journal of Fatigue 22, 137-145.