journal article·2014-06Open access

On the multiaxial fatigue assessment of complex three-dimensional stress concentrators

R. Louks, B. Gerin, J. Draper, H. Askes, L. Susmel

Abstract

Abstract This paper assesses and quantifies the detrimental effects of complex tri-dimensional notches subjected to uniaxial and multiaxial fatigue loading. A number of experimental results taken from the technical literature and generated by testing specimens containing complex geometrical features were reanalysed using a critical distance/plane method. The investigated notched samples were tested under uniaxial and multiaxial constant amplitude load histories, considering also the effects of non-zero mean stresses as well as non-proportional loading. The common feature of the considered notched geometries was that the position of the critical location changed as the degree of multiaxiality of the applied loading varied. The relevant linear-elastic stress fields in the vicinity of the crack initiation points were calculated by the Finite Element method and subsequently post-processed using the Modified Wohler Curve Method in conjunction with the Theory of Critical Distances (the latter theory being applied in the form of the Point Method). This validation exercise confirms the accuracy and reliability of our multiaxial fatigue life assessment technique, which can be efficiently used in situations of practical interest by directly post-processing the relevant linear-elastic stress fields calculated with commercial Finite Element software packages.
Source: openaire · Quality: candidate unverified · Source record ↗

Research context

OpenAlex topics: Fatigue and fracture mechanics · Mechanical Behavior of Composites · Engineering Structural Analysis Methods

SciVX discovery tags are terminology-based. OpenAlex topics are source-provided classifications.

References (42)

Show source-provided references
1. Über Treibseile am Harz. Archiv für Mineralogie, Georgnosie
2. Versuche zur Ermittlung der auf die Eisenbahnwagenachsen einwirkenden Kräfte und die Widerstandsfähigkeit der Wagen-Achsen
3. Spangenburg · 1876
4. A history of fatigue10.1016/0013-7944(95)00178-6 ↗
5. Susmel · 2009
6. Engineering steels under combined cyclic and static stresses10.1243/PIME_PROC_1949_160_040_02 ↗
7. On a new multiaxial fatigue limit criterion: theory and application
8. A high-cycle fatigue criterion applied in biaxial and triaxial out-of-phase stress conditions10.1111/j.1460-2695.1995.tb00143.x ↗
9. A method based on virtual-strain energy parameters for multiaxial fatigue life prediction
10. A critical plane approach to multiaxial fatigue damage including out-of-phase loading10.1111/j.1460-2695.1988.tb01169.x ↗
11. A theory for fatigue under multiaxial stress–strain conditions10.1243/PIME_PROC_1973_187_161_02 ↗
12. Neuber · 1958
13. Notch sensitivity
14. Taylor · 2007
15. The fatigue behaviour of three-dimensional stress concentrations10.1016/j.ijfatigue.2004.07.006 ↗
16. Numerical evaluation of fatigue strength on mechanical notched components under multiaxial loadings10.1016/j.ijfatigue.2010.10.008 ↗
17. A simple and efficient numerical algorithm to determine the orientation of the critical plane in multiaxial fatigue problems10.1016/j.ijfatigue.2010.05.004 ↗
18. Estimating the orientation of Stage I crack paths through the direction of maximum variance of the resolved shear stress10.1016/j.ijfatigue.2013.05.007 ↗
19. Lemaitre · 1990
20. Fatigue under combined out of phase multiaxial stresses
21. Critical plane approaches in high-cycle fatigue: on the definition of the amplitude and mean value of the shear stress acting on the critical plane10.1046/j.1460-2695.1998.00459.x ↗
22. A unified numerical approach for multiaxial fatigue limit evaluation10.1081/SME-100100613 ↗
23. A computerized procedure for long-life fatigue assessment under multiaxial loading10.1046/j.1460-2695.2001.00389.x ↗
24. Multiaxial fatigue: a stress based criterion for hard metals10.1016/j.ijfatigue.2004.05.006 ↗
25. Using enclosing ellipsoids in multiaxial fatigue strength criteria10.1016/j.euromechsol.2005.07.006 ↗
26. A Bi-parametric modified Wöhler curve for high cycle multiaxial fatigue assessment10.1046/j.1460-2695.2002.00462.x ↗
27. A stress-based method to predict lifetime under multiaxial fatigue loadings10.1046/j.1460-2695.2003.00723.x ↗
28. Low-cycle fatigue under out-of-phase loading conditions10.1115/1.3443523 ↗
29. The influence of static mean stresses applied normal to the maximum shear planes in multiaxial fatigue
30. Multiaxial fatigue limits and material sensitivity to non-zero mean stresses normal to the critical planes10.1111/j.1460-2695.2008.01228.x ↗
31. The mean stress effect on the high-cycle fatigue strength from a multiaxial fatigue point of view10.1016/j.ijfatigue.2004.11.012 ↗
32. Two methods for predicting the multiaxial fatigue limits of sharp notches10.1046/j.1460-2695.2003.00683.x ↗
33. A unifying approach to estimate the high-cycle fatigue strength of notched components subjected to both uniaxial and multiaxial cyclic loadings10.1111/j.1460-2695.2004.00759.x ↗
34. The Modified Wöhler Curve Method applied along with the theory of critical distances to estimate finite life of notched components subjected to complex multiaxial loading paths10.1111/j.1460-2695.2008.01296.x ↗
35. A critical distance/plane method to estimate finite life of notched components under variable amplitude uniaxial/multiaxial fatigue loading10.1016/j.ijfatigue.2011.11.015 ↗
36. A novel formulation of the theory of critical distances to estimate lifetime of notched components in the medium-cycle fatigue regime10.1111/j.1460-2695.2007.01122.x ↗
37. The validation of some methods of notch fatigue analysis10.1046/j.1460-2695.2000.00302.x ↗
38. Fatigue design in the presence of stress concentrations10.1243/03093240360713496 ↗
39. The fatigue strength of steels containing small holes under out-of-phase combined loading10.1016/j.ijfatigue.2005.05.013 ↗
40. Die Theorie der Elastizität und die Bedürfnisse der Festigkeitslehre
41. Bellett D. The fatigue behaviour of three-dimensional stress concentrations. PhD Thesis. Dublin, Ireland: Department of Mechanical Engineering, Trinity College; 2002.
42. Carpinteri A, Montanari L, Spagnoli A, Vantadori S. Size and load effects on the biaxial fatigue resistance of holed structural components. In: Ferro G, Iacoviello F, Susmel L, editors. Proceedings of XXI IGF national conference, Cassino, Italy, 13–15 June 2011. ISBN 978-88-95940-36-6. p. 147–55.