A survey on evaluating the fatigue limit under multiaxial loading
Source abstract
Abstract
This paper presents a comprehensive overview of the main currently published fatigue prediction models for estimating the multiaxial fatigue limit. The set of analyzed criteria comprises 17 different methods, which are tested on a series of 407 experiments. The methods are briefly described and the overall tendencies of their prediction capabilities are commented on, including some properties common to certain groups of criteria. The set of experiments refers to the publicly available FatLim database. The computation results were achieved using the PragTic freeware fatigue solver. The Papuga PCr method is the best solution at present. Some possible ways of further improving the methods are proposed here.
Source: openaire · Quality: candidate unverified · Source record ↗
Research context
OpenAlex topics: Fatigue and fracture mechanics · Mechanical Behavior of Composites · Structural Health Monitoring Techniques
SciVX discovery tags are terminology-based. OpenAlex topics are source-provided classifications.
References (61)
Show source-provided references
1. Multiaxial fatigue criterion for complex loading based on stress invariants10.1016/j.ijfatigue.2009.11.006 ↗
2. An invariant-based approach for high-cycle fatigue calculation10.1111/j.1460-2695.2009.01331.x ↗
3. Multiaxial fatigue limits and material sensitivity to non-zero mean stresses normal to the critical planes10.1111/j.1460-2695.2008.01228.x ↗
4. A comparative study of multiaxial high-cycle fatigue criteria for metals10.1016/S0142-1123(96)00064-3 ↗
5. A general criterion for high cycle multiaxial fatigue failure10.1111/j.1460-2695.1991.tb00673.x ↗
6. Sines G. Failure of materials under combined repeated stresses with superimposed static stresses. NACA-TN-3495. NACA, Washington; 1955.
7. Crossland B. Effect of large hydrostatic pressure on the torsional fatigue strength of an alloy steel. In: Proc int conf on fatigue of metals. London: Institution of Mechanical Engineers; 1956. p. 138–49.
8. An explanation on fatigue limit under combined stress10.1299/jsme1958.20.257 ↗
9. Multiaxial fatigue: a stress based criterion for hard metals10.1016/j.ijfatigue.2004.05.006 ↗
10. Multiaxial high-cycle fatigue criterion for hard metals10.1016/S0142-1123(00)00075-X ↗
11. A volumetric energy based high cycle multiaxial fatigue criterion10.1016/S0142-1123(03)00048-3 ↗
12. On the fatigue limit of ductile metals under complex multiaxial loading10.1016/S0142-1123(99)00107-3 ↗
13. The strength of metals under combined alternating bending and torsion with phase difference
14. The strength of metals under combined alternating stresses10.1243/PIME_PROC_1935_131_008_02 ↗
15. Gough HJ, Pollard HV, Clenshaw WJ. Some experiments on the resistance of metals to fatigue under combined stresses. His Majesty’s Stationery Office, London; 1951.
16. Properties of some materials for cast crankshafts, with special reference to combined stresses
17. Engineering steels under combined cyclic and static stresses10.1115/1.4010088 ↗
18. Findley WN. Combined-stress fatigue strength of 76S-T61 aluminum alloy with superimposed mean stresses and corrections for yielding. NACA TN-2924. NACA, Washington; 1953.
19. A multiaxial fatigue damage function10.1016/j.ijfatigue.2006.04.003 ↗
20. Beer · 1992
21. Analysis of endurance limits under very high cycle fatigue using a unified damage approach10.1016/j.ijfatigue.2007.02.028 ↗
22. Schijve · 2009
23. Baier F. Zeit- und Dauerfestigkeit bei überlagerter statischer und schwingender Zug-Druck- und Torsionbeanspruchung. Universität Stuttgart, Stuttgart; 1970.
24. Biaxial fatigue tests with zero mean stresses using tubular specimens10.1016/0020-7403(70)90091-3 ↗
25. A study on combined torsion and axial load fatigue limit tests with stresses of different frequencies10.1016/j.ijfatigue.2007.10.003 ↗
26. Two new multiaxial criteria for high cycle fatigue computation10.1016/j.ijfatigue.2007.02.015 ↗
27. Independence of the torsional fatigue limit upon a mean shear stress10.1016/S0142-1123(02)00174-3 ↗
28. Crack initiation and endurance limit of a hard steel under multiaxial cyclic loading
29. Delahay T. Développement d’une méthode probabiliste de calcul en fatigue multiaxiale prenant en compte la répartition volumique des contraintes. PhD thesis. ENSAM CER de Bordeaux, Bordeaux; 2004.
30. Dubar L. Fatigue multiaxiale des aciers. Passage de l’endurance à l’endurance limitée. Prise en compte des accidents géometriques. PhD thesis. ENSAM, Talence; 1992.
31. Dauerfestigkeit bei überlagerter zweiachsiger statischer Beanspruchung
32. Froustey C, Lasserre S. Fatigue des aciers sous sollicitations combinées. Application à l’acier 30NCD16. Technical report Rapport DRET-LAMEF-ENSAM. contrat 87/115. ENSAM, Talence; 1988.
33. Multiaxial fatigue endurance of 30NCD16 steel10.1016/0142-1123(89)90436-2 ↗
34. Heidenreich R, Zenner H. Schubspannungsintensitätshypothese – Erweiterung und experimentelle Abschätzung einer neuen Festigkeitshypothese für schwingende Beanspruchung. Forschungshefte FKM, Heft 77. FKM, Frankfurt am Main – Niederrad; 1979.
35. Heidenreich R. Schubspannungsintensitätshypothese – Dauerschwingfestigkeit bei mehrachsiger Beanspruchung. Forschungshefte FKM, Heft 105. FKM, Frankfurt am Main – Niederrad; 1983.
36. Schubspannungsintensitätshypothese – weitere experimentelle und theoretische Untersuchungen
37. Heidenreich R, Zenner H. Festigkeitshypothese – Berechnung der Dauerfestigkeit für beliebige Beanspruchungskombinationen. Forschungshefte FKM, Heft 55. FKM, Frankfurt am Main – Niederrad; 1976.
38. Issler L. Festigkeitsverhalten metallischer Werkstoffe bei mehrachsiger phasenverschobener Beanspruchung. PhD thesis. Universität Stuttgart, Stuttgart; 1973.
39. Kaniut C. Zur Betriebsfestigkeit metallischer Werkstoffe bei mehrachsiger Beanspruchung. PhD thesis. RWTH Aachen, Aachen; 1983.
40. Lempp W. Festigkeitsverhalten von Stählen bei mehrachsiger Dauerschwingbeanspruchung durch Normalspannungen mit überlagerten phasengleichen und phasenverschobenen Schubspannungen. PhD thesis. TU Stuttgart, Stuttgart; 1977.
41. Mielke S. Festigkeitsverhalten metallischer Werkstoffe unter zweiachsiger schwingender Beanspruchung mit verschiedenen Spannungszeitverlaufen. PhD thesis. RWTH Aachen, Aachen; 1980.
42. A non-local theory applied to high cycle multiaxial fatigue10.1046/j.1460-2695.2002.00527.x ↗
43. Nolte F. Dauerfestigkeitsuntersuchungen an Stahlwellen bei umlaufender Beige- und überlagerter statischer Verdrehbeanspruchung. PhD thesis. TU Berlin, Berlin; 1973.
44. Paysan B. Untersuchungen des Einflusses einiger Kerbformen auf die Tragfähigkeit von Wellen bei umlaufender Biegung und überlagerter statischer Torsion. PhD thesis. TU Berlin, Berlin; 1970.
45. Simbürger A. Festigkeitsverhalten zäher Werkstoffe bei einer mehrachsigen phaseverschobenen Schwingbeanspruchung mit körperfesten und veränderlichen Hauptspannungsrichtungen. TH Darmstadt, Darmstadt; 1975.
46. Dauerfestigkeitsverhalten metallischer Werkstoffe bei zweiachsiger Beanspruchung durch drei phasenverschoben schwingende Lastspannungen
47. Weber B. Fatigue multiaxiale des structures industrielles sous chargement quelconque. PhD thesis. INSA Lyon, Lyon; 1999.
48. Long life fatigue under multiaxial loading10.1016/S0142-1123(01)00059-7 ↗
49. Efficient algorithms for calculation of shear stress amplitude and amplitude of the second invariant of the stress deviator in fatigue criteria applications10.1016/S0142-1123(01)00181-5 ↗
50. Sur la résistance à la fatigue des métaux
51. Fatigue of metals under combinations of stresses
52. On a new multiaxial fatigue criterion based on a selective integration approach
53. Multiaxial high-cycle fatigue criterion and life prediction for metals10.1016/j.ijfatigue.2005.01.003 ↗
54. Improvements of two criteria for multiaxial fatigue limit evaluation
55. A new high-cycle fatigue criterion applied to out-of-phase biaxial stress state10.1016/S0020-7403(01)00053-4 ↗
56. A bi-parametric Wöhler curve for high cycle multiaxial fatigue assessment10.1046/j.1460-2695.2002.00462.x ↗
57. A new criterion of fatigue strength for out-of-phase bending and torsion of hard metals10.1016/0142-1123(94)90449-9 ↗
58. Behavior of metals under complex static and alternating stresses
59. Expected principal stress directions under multiaxial random loading. Part I: theoretical aspects of the weight function method10.1016/S0142-1123(98)00046-2 ↗
60. Papuga J. Mapping of fatigue damages – program shell of FE-calculation. PhD thesis. CTU in Prague, Prague; 2005.
61. A shear stress based critical-plane criterion of multiaxial fatigue failure for design and life prediction10.1111/j.1460-2695.1994.tb00789.x ↗