Reformulation in the frequency domain of a critical plane-based multiaxial fatigue criterion
Source abstract
Abstract
Abstract In the present paper, a new computationally-efficient frequency domain formulation of the critical plane-based Carpinteri–Spagnoli (C–S) criterion is proposed to evaluate the fatigue lives of smooth metallic structures subjected to multiaxial random loading. The critical plane orientation is here proposed to depend on the Power Spectral Density (PSD) matrix of the stress tensor. Then, the PSD function of an equivalent normal stress is defined by considering a linear combination of the PSD functions of the normal stress and the projected shear stress along the direction of maximum variance, with such stresses acting on the critical plane. Such an equivalent PSD function allows us to apply the Tovo–Benasciutti method to estimate the fatigue life of the structural components. The present frequency domain formulation of the C–S criterion is applied to some relevant fatigue tests related to smooth specimens under non-proportional bending and torsion random loading.
Source: openaire · Quality: candidate unverified · Source record ↗
Research context
OpenAlex topics: Fatigue and fracture mechanics · Structural Behavior of Reinforced Concrete · Structural Load-Bearing Analysis
SciVX discovery tags are terminology-based. OpenAlex topics are source-provided classifications.
References (37)
Show source-provided references
1. Fatigue failure predictions for complicated stress-strain histories
2. A variable amplitude multiaxial fatigue life prediction method
3. Estimated and experimental fatigue lives of 30CrNiMo8 steel under in-phase and out-of-phase combined bending and torsion with variable amplitudes10.1111/j.1460-2695.1994.tb00218.x ↗
4. Life prediction techniques for variable amplitude multiaxial fatigue – Part 1: theories10.1115/1.2806821 ↗
5. Comparison of calculation and experimental fatigue lives of some chosen cast irons under combined tension and torsion
6. A multiaxial fatigue criterion for random loading10.1046/j.1460-2695.2003.00620.x ↗
7. Carpinteri A, Spagnoli A, Vantadori S. Fatigue life estimation under multiaxial random loading using a critical plane-based criterion. In: Proceedings of the 2nd int. conference on material and component performance under variable amplitude loading, vol. 1, Darmstadt, Germany; 2009. p. 475–484.
8. On structural fatigue under random loading10.2514/8.3199 ↗
9. Fatigue under wide band random stresses10.1061/JSDEAG.0005477 ↗
10. Fatigue analysis of offshore platforms subject to sea wave loadings10.1016/0142-1123(85)90003-9 ↗
11. On the probability density function of rainflow stress range for stationary Gaussian processes10.1016/0142-1123(92)90088-T ↗
12. On the ‘narrow-band’ approximation for expected fatigue damage10.1016/0266-8920(93)90024-P ↗
13. Structural methods for estimating the integrity of structural components subjected to random loading
14. Spectral methods for multiaxial random fatigue analysis of metallic structures10.1016/S0142-1123(00)00038-4 ↗
15. Cycle distribution and fatigue damage under broad-band random loading10.1016/S0142-1123(02)00032-4 ↗
16. Spectral methods for lifetime prediction under wide-band stationary random processes10.1016/j.ijfatigue.2004.10.007 ↗
17. Fatigue life calculation by means of the cycle counting and spectral methods under multiaxial random loading10.1111/j.1460-2695.2005.00877.x ↗
18. Comparison of spectral methods for fatigue analysis in broad-band Gaussian random processes10.1016/j.probengmech.2005.10.003 ↗
19. A stress invariant based spectral method to estimate fatigue life under multiaxial random loading10.1016/j.ijfatigue.2011.01.013 ↗
20. Macha E. Simulation investigations of the position of fatigue fracture plane in materials with biaxial loads. Mat. Wiss. U. Werkstofftech 20, Teil I, Heft 4/89, 132–136, Teil II, Heft 5/89, 153–163, 1989.10.1002/mawe.19890200405 ↗
21. Expected principal stress directions under multiaxial random loading. Part I: theoretical aspects of the weight function method10.1016/S0142-1123(98)00046-2 ↗
22. Expected principal stress directions under multiaxial random loading. Part II: numerical simulation and experimental assessment through the weight function method10.1016/S0142-1123(98)00047-4 ↗
23. A fracture plane approach in multiaxial high-cycle fatigue of metals10.1046/j.1460-2695.2000.00265.x ↗
24. Multiaxial high-cycle fatigue criterion for hard metals10.1016/S0142-1123(00)00075-X ↗
25. Spectral methods to estimate local multiaxial fatigue failure for structures undergoing random vibrations10.1046/j.1460-2695.2001.00394.x ↗
26. Fatigue lives of 18G2A and 10HNAP steels under variable amplitude and random non-proportional bending with torsion loading10.1016/j.ijfatigue.2007.07.001 ↗
27. 1997
28. Mathematical analysis of random noise10.1002/j.1538-7305.1944.tb00874.x ↗
29. Mathematical analysis of random noise10.1002/j.1538-7305.1945.tb00453.x ↗
30. Structural integrity assessment of metallic components under multiaxial fatigue: the C–S criterion and its evolution10.1111/ffe.12037 ↗
31. Note on the distribution of the largest value of a random function with application to gust loading
32. Modified rainflow counting keeping the load sequence10.1016/S0142-1123(97)00078-9 ↗
33. Note on cycle counts in irregular loads10.1111/j.1460-2695.1993.tb00094.x ↗
34. Characterization of random fatigue loads
35. Rainflow analysis – Markov method10.1016/0142-1123(93)90375-Z ↗
36. 1986
37. Fatigue fracture planes and expected principal stress directions under biaxial variable amplitude loading10.1111/j.1460-2695.2004.00840.x ↗