journal article·2019-06Open access

Comparison of TCD and SED methods in fatigue lifetime assessment

Zheng Hu, Filippo Berto, Youshi Hong, Luca Susmel

Abstract

This paper assesses the accuracy and reliability of the Theory of Critical Distances (TCD) and the Strain Energy Density (SED) approach in estimating the lifetime of plain and notched specimens subjected to cyclic loading. To validate the two approaches for plain and notched components under uniaxial and multiaxial fatigue loading, a large bulk of experimental data taken from the literature was re-analyzed, with the state variables, i.e. the stress distributions and the strain energy density, being calculated via the Finite Element (FE) method. The results obtained demonstrate that both the TCD and the SED approach can provide highly accurate fatigue life estimation. In addition, these two approaches require little computational effort and little calibration information to be implemented and used for fatigue design in situations of practical interest.
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Research context

OpenAlex topics: Fatigue and fracture mechanics · Mechanical Behavior of Composites · Probabilistic and Robust Engineering Design

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References (100+)

Show source-provided references
1. Multiaxial fatigue: An overview and some approximation models for life estimation10.1016/j.ijfatigue.2011.01.003 ↗
2. Multiaxial high-cycle fatigue criterion for hard metals10.1016/S0142-1123(00)00075-X ↗
3. A critical plane approach to multiaxial fatigue damage including out-of-phase loading10.1111/j.1460-2695.1988.tb01169.x ↗
4. A survey on multiaxial fatigue damage parameters under non-proportional loadings10.1111/ffe.12659 ↗
5. The theory of critical distances10.1016/j.engfracmech.2007.04.007 ↗
6. The theory of critical distances: a review of its applications in fatigue10.1016/j.engfracmech.2006.12.004 ↗
7. The Theory of Critical Distances to estimate lifetime of notched components subjected to variable amplitude uniaxial fatigue loading10.1016/j.ijfatigue.2011.01.012 ↗
8. Estimating fatigue damage under variable amplitude multiaxial fatigue loading10.1111/j.1460-2695.2011.01594.x ↗
9. A material length scale based methodology to assess static strength of notched additively manufactured polylactide (PLA)10.1111/ffe.12746 ↗
10. Evaluation of notch size effect on LCF life of TA19 specimens based on the stress gradient modified critical distance method10.1111/ffe.12821 ↗
11. Some expressions for the strain energy in a finite volume surrounding the root of blunt V-notches10.1007/s10704-005-3943-6 ↗
12. Fatigue strength of steel and aluminium welded joints based on generalised stress intensity factors and local strain energy values10.1007/s10704-005-4043-3 ↗
13. A review of the volume-based strain energy density approach applied to V-notches and welded structures10.1016/j.tafmec.2009.10.001 ↗
14. Recent developments in brittle and quasi-brittle failure assessment of engineering materials by means of local approaches10.1016/j.mser.2013.11.001 ↗
15. Fatigue strength of Al7075 notched plates based on the local SED averaged over a control volume10.1007/s11433-013-5275-2 ↗
16. Fatigue failure transition analysis in load-carrying cruciform welded joints based on strain energy density approach10.1111/ffe.12588 ↗
17. Strain energy gradient-based LCF life prediction of turbine discs using critical distance concept10.1016/j.ijfatigue.2018.04.006 ↗
18. S.P. Zhu, Z.Y. Yu, Q. Liu, I. Ayhan, Strain energy-based multiaxial fatigue life prediction under normal/shear stress interaction, Int J Damage Mech [in press] doi: 10.1177/1056789518786031.10.1177/1056789518786031 ↗
19. Neuber · 1958
20. Notch sensitivity
21. Engineering formulae for fatigue strength reduction due to crack-like notches10.1007/BF00942722 ↗
22. Fatigue crack initiation and propagation phases near notches in metals with low notch sensitivity10.1016/S0142-1123(97)00091-1 ↗
23. Geometrical effects in fatigue: a unifying theoretical model10.1016/S0142-1123(99)00007-9 ↗
24. Prediction of non propagating cracks10.1016/0013-7944(79)90081-X ↗
25. 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 ↗
26. On the use of the Theory of Critical Distances to predict static failures in ductile metallic materials containing different geometrical features10.1016/j.engfracmech.2008.04.018 ↗
27. The Theory of Critical Distances: A link to micromechanisms10.1016/j.tafmec.2017.05.018 ↗
28. 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 ↗
29. The theory of critical distances to estimate finite lifetime of notched components subjected to constant and variable amplitude torsional loading10.1016/j.engfracmech.2012.12.007 ↗
30. 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 ↗
31. G.C. Sih A special theory of crack propagation: methods of analysis and solutions of crack problems, mechanics of fracture, I ed., vol. 21. In: Sih GC, editor. Leyden: Noordhoff International Publishing; 1973.
32. Strain-energy-density factor applied to mixed mode crack problems10.1007/BF00035493 ↗
33. The strain energy density failure criterion applied to notched elastic solids10.1016/0020-7683(75)90050-5 ↗
34. Sih · 2012
35. Sharp notch fracture strength characterized by critical energy density10.1016/0167-8442(91)90044-K ↗
36. Criterion of crack initiation and spreading10.1016/0013-7944(76)90089-8 ↗
37. Fracture mechanics applications of absorbed specific fracture energy: notch and unnotched specimens10.1016/0167-8442(85)90041-2 ↗
38. Energy density approach to calculation of inelastic strain-stress near notches and cracks10.1016/0013-7944(85)90148-1 ↗
39. Failure initiation in unnotched specimens subjected to monotonic and cyclic loading10.1016/0167-8442(84)90041-7 ↗
40. Ellyin F. Cyclic strain energy density as a criterion for multiaxial fatigue failure. In: ICBMFF2; 1985.
41. Multiaxial fatigue damage criterion10.1115/1.3226012 ↗
42. A method of elastic-plastic stress and strain calculation at a notch root10.1016/0025-5416(81)90089-6 ↗
43. Ellyin · 2012
44. Generalization of notch analysis and its extension to cyclic loading10.1016/0013-7944(89)90178-1 ↗
45. Fatigue life assessment of notched round bars under multiaxial loading based on the total strain energy density approach10.1016/j.tafmec.2017.06.003 ↗
46. A finite-volume-energy based approach to predict the static and fatigue behavior of components with sharp V-shaped notches10.1023/A:1013595930617 ↗
47. A comparison among some recent energy-and stress-based criteria for the fracture assessment of sharp V-notched components under Mode I loading10.1016/j.tafmec.2014.03.001 ↗
48. Brittle fracture of sharp and blunt V-notches in isostatic graphite under torsion loading10.1016/j.carbon.2011.12.045 ↗
49. Averaged strain energy density estimated rapidly from the singular peak stresses by FEM: Cracked bars under mixed-mode (I+ III) loading10.1016/j.engfracmech.2016.03.040 ↗
50. The peak stress method to estimate the mode I notch stress intensity factor in welded joints using three-dimensional finite element models10.1016/j.engfracmech.2013.11.002 ↗
51. The peak stress method for fatigue strength assessment of tube-to-flange welded joints under torsion loading10.1007/s40194-013-0022-x ↗
52. Multi-axial fatigue behaviour of a severely notched carbon steel10.1016/j.ijfatigue.2005.05.010 ↗
53. Fatigue strength of structural components under multi-axial loading in terms of local energy density averaged on a control volume10.1016/j.ijfatigue.2010.11.019 ↗
54. Local strain energy density and fatigue strength of welded joints under uniaxial and multiaxial loading10.1016/j.engfracmech.2006.10.019 ↗
55. Energy criteria of multiaxial fatigue failure10.1046/j.1460-2695.1999.00220.x ↗
56. Multiaxial fatigue of V-notched steel specimens: a non-conventional application of the local energy method10.1111/j.1460-2695.2011.01585.x ↗
57. Fatigue strength of severely notched specimens made of Ti–6Al–4V under multiaxial loading10.1111/ffe.12272 ↗
58. Strain energy density based fatigue cracking assessment of load-carrying cruciform welded joints10.1016/j.tafmec.2017.04.002 ↗
59. The fatigue behaviour of three-dimensional stress concentrations10.1016/j.ijfatigue.2004.07.006 ↗
60. A notch stress intensity approach to assess the multiaxial fatigue strength of welded tube-to-flange joints subjected to combined loadings10.1111/j.1460-2695.2004.00733.x ↗
61. Rapid calculations of notch stress intensity factors based on averaged strain energy density from coarse meshes: Theoretical bases and applications10.1016/j.ijfatigue.2010.02.017 ↗
62. The validation of some methods of notch fatigue analysis10.1046/j.1460-2695.2000.00302.x ↗
63. Fatigue design in the presence of stress concentrations10.1243/03093240360713496 ↗
64. Prediction of fatigue failure location on a component using a critical distance method10.1016/S0142-1123(00)00062-1 ↗
65. A new critical plane-energy model for multiaxial fatigue life prediction of turbine disc alloys10.1016/j.engfailanal.2018.07.001 ↗
66. The multiaxial random fatigue criteria based on strain and energy damage parameters on the critical plane for the low-cycle range10.1016/j.ijfatigue.2011.09.013 ↗
67. Socie D, Marquis G. Multiaxial Fatigue, Society of Automotive Engineers, Inc. Warrendale, Pa, 484; 2000.10.4271/R-234 ↗
68. A theory for fatigue failure under multiaxial stress-strain conditions10.1243/PIME_PROC_1973_187_161_02 ↗
69. Multiaxial fatigue damage models10.1115/1.3225980 ↗
70. Evaluation and comparison of critical plane criteria for multiaxial fatigue analysis of ductile and brittle materials10.1016/j.ijfatigue.2018.03.028 ↗
71. A bi-parametric Wöhler curve for high cycle multiaxial fatigue assessment10.1046/j.1460-2695.2002.00462.x ↗
72. A stress-based method to predict lifetime under multiaxial fatigue loadings10.1046/j.1460-2695.2003.00723.x ↗
73. Multiaxial fatigue life estimations for 6082–T6 cylindrical specimens under in-phase and out-of-phase biaxial loadings10.1016/S1566-1369(03)80006-7 ↗
74. Multiaxial fatigue limits and material sensitivity to non-zero mean stresses normal to the critical planes10.1111/j.1460-2695.2008.01228.x ↗
75. Influence of correlations between stresses on calculated fatigue life of machine elements10.1016/S0142-1123(96)00025-4 ↗
76. Fatigue damage assessment of a car body-in-white using a frequency-domain approach10.1504/IJMPT.2007.013113 ↗
77. Spectral methods for lifetime prediction under wide-band stationary random processes10.1016/j.ijfatigue.2004.10.007 ↗
78. Cycle distribution and fatigue damage assessment in broad-band non-Gaussian random processes10.1016/j.probengmech.2004.11.001 ↗
79. Susmel · 2009
80. Plane elastostatic analysis of V-notched plates10.1007/BF00186126 ↗
81. A notch intensity factor approach to the stress analysis of welds10.1046/j.1460-2695.1998.00097.x ↗
82. Stress intensities at notch singularities10.1016/S0013-7944(97)00019-2 ↗
83. Multiaxial fatigue strength of severely notched cast iron specimens10.1016/j.ijfatigue.2014.01.013 ↗
84. A simplified approach to apply the theory of critical distances to notched components under torsional fatigue loading10.1016/j.ijfatigue.2005.07.035 ↗
85. Fatigue life prediction of small notched Ti–6Al–4V specimens using critical distance10.1016/j.engfracmech.2010.04.001 ↗
86. Lifetime prediction in medium-cycle fatigue regime of notched specimens10.1016/j.tafmec.2016.03.006 ↗
87. A non-linear model for the fatigue assessment of notched components under fatigue loadings10.1016/j.ijfatigue.2015.09.019 ↗
88. Notched fatigue behaviour of two cold rolled steels10.1111/j.1460-2695.1991.tb00645.x ↗
89. DuQuesnay DL, Topper TH, Yu M, Bertetto AM. The effect of notch radius on the fatigue notch factor and the propagation of short cracks. In: EGF1; 1986.
90. A synthesis of the push-pull fatigue behaviour of plain and notched stainless steel specimens by using the specific heat loss10.1111/ffe.12071 ↗
91. Notch fatigue behaviour in a Sb-modified permanent-mold cast A356–T6 aluminium alloy10.1016/j.msea.2005.01.028 ↗
92. The fatigue life of notched magnesium sheet metals with emphasis on the effect of bands of twinned grains10.1016/j.ijfatigue.2017.01.041 ↗
93. Gasiak G, Pawliczek R. The mean loading effect under cyclie bending and torsion of 18G2A steel. In: 6th Int, in: Conf. on Biaxial/Multiaxial Fatigue and Fracture; 2001. p. 213–22.
94. Kurath P, Downing S, Galliart D. Summary of non-hardened notched shaft round robin program. Society of Automotive Engineers, Inc., Multiaxial Fatigue: Analysis and Experiments; 1989. p. 13–31.
95. On the consideration of normal and shear stress interaction in multiaxial fatigue damage analysis10.1016/j.ijfatigue.2017.03.042 ↗
96. A simple and efficient multiaxial fatigue damage model for engineering applications of macro-crack initiation10.1115/1.2904232 ↗
97. Kardas D, Kluger K, Łagoda T, Ogonowski P. Fatigue life of AlCu4Mg1 aluminium alloy under constant amplitude bending with torsion. In: Proced. of the Seventh International Conference on Biaxial/Multiaxial Fatigue and Fracture; 2004. p. 197–02.
98. A multiaxial fatigue criterion for various metallic materials under proportional and nonproportional loading10.1016/j.ijfatigue.2005.07.007 ↗
99. Socie D, Kurath P, Koch J. A multiaxial fatigue damage parameter. In: ICBMFF2; 1985.
100. Fatigue of specimens subjected to combined loading. Role of hydrostatic pressure10.1016/S0142-1123(01)00030-5 ↗