A continuum damage mechanics-based method is adopted to predict the fatigue life of notched specimens subjected to constant amplitude cyclic loading while containing single or multiple overloads. The residual stress and plastic damage induced by an overload are considered to be the main factors affecting the fatigue life of a specimen. The residual stress and plastic strain fields of a notched specimen are calculated using the elastic–plastic finite element method. The mean stress of the following cyclic loading is then varied by superimposing the residual stress. Meanwhile, the plastic damage is calculated based on the ductile damage model and accumulated into the total damage of the material. The quantitative effects of an overload on the damage evolution and the fatigue life are evaluated. Furthermore, the effects of the damage–overload ratio on the variation of the residual stress induced by an overload are investigated, and the effects of the occurrence time for a single overload and the occurrence frequency for multiple overloads are studied.
Abdel-KarimM (2009) Modified kinematic hardening rules for simulations of ratchetting. International Journal of Plasticity25: 1560–1587.
2.
Abdel-KarimM (2010) An evaluation for several kinematic hardening rules on prediction of multiaxial stress-controlled ratchetting. International Journal of Plasticity26: 711–730.
3.
ASTM E606/E606M-12 (2012) Standard Test Method for Strain-Controlled Fatigue Testing. West Conshohocken, PA: ASTM international, Book of Standards Volume 03.01.
4.
CastroJTPDSimõesDDAMenezesIFMDet al.(2016) A note on notch shape optimization to minimize stress concentration effects. Theoretical & Applied Fracture Mechanics84: 72–85.
5.
ChabocheJL (1986) Time-independent constitutive theories for cyclic plasticity. International Journal of Plasticity2: 149–188.
6.
ChabocheJL (1989) Constitutive equations for cyclic plasticity and cyclic viscoplasticity. International Journal of Plasticity5: 247–302.
7.
ChabocheJL (1991) On some modifications of kinematic hardening to improve the description of ratchetting effects. International Journal of Plasticity7: 661–678.
8.
ChabocheJL (2008) A review of some plasticity and viscoplasticity constitutive theories. International Journal of Plasticity24: 1642–1693.
9.
ChaudonneretM (1993) A simple and efficient multiaxial fatigue damage model for engineering applications of macro-crack initiation. Journal of Engineering Materials & Technology115: 373–379.
10.
ChengqingLJunjunLTuoLet al.(2013) Theoretical calculation and numerical simulation on residual stress after unloading in the plastic phase. Building Structures2: 441–444.
11.
ChlistovskyRMHeffernanPJDuquesnayDL (2007) Corrosion-fatigue behaviour of 7075-T651 aluminum alloy subjected to periodic overloads. International Journal of Fatigue29: 1941–1949.
12.
DalaeiKKarlssonB (2011) Influence of overloading on fatigue durability and stability of residual stresses in shot peened normalized steel. Materials Science & Engineering A528: 7323–7330.
13.
DarbanHNosratiMDjavanroodiF (2014) Multiaxial fatigue analysis of stranded-wire helical springs. International Journal of Damage Mechanics24: 1361–1364.
14.
DowlingNE (1993) Mechanical Behavior of Materials: Engineering Methods for Deformation, Fracture, and Fatigue, New York: Prentice Hall, pp. 59.
15.
Gallagher JP (1974) A generalized development of yield zone models. A Generalized Development of Yield Zone Models No. Affdl-Tm-Fbr-74-28. Air Force Flight Dynamics Lab Wright-Patterson Afb Oh.
16.
IshiharaSMcevilyAJ (1999) Coaxing effect in the small fatigue crack growth regime. Scripta Materialia42: 617–622.
17.
KauzlarichJJ (1989) The Palmgren-Miner rule derived. Tribology14: 175–179.
18.
LemaîtreJJ (1992) A Course on Damage Mechanics, Heidelberg: Springer Berlin, pp. 1–37.
19.
LemaitreJChabocheJLMajiAK (1993) Mechanics of solid materials. Journal of Engineering Mechanics119: 642–643.
LvZHuangHZZhuSPet al.(2015) A modified nonlinear fatigue damage accumulation model. International Journal of Damage Mechanics24: 168–181.
22.
Military Handbook-MIL-HDBK-5H (1998) Metallic Materials and Elements for Aerospace Vehicle Structures. New York: Knovel Interactive Edition, US Department of Defense.
23.
NikitinIBeselM (2008) Residual stress relaxation of deep-rolled austenitic steel. Scripta Materialia58: 239–242.
24.
RamosMSPereiraMVDarwishFAet al.(2003) Effect of single and multiple overloading on the residual fatigue life of a structural steel. Fatigue & Fracture of Engineering Materials & Structures26: 115–121.
25.
SanderMRichardHA (2005) Finite element analysis of fatigue crack growth with interspersed mode I and mixed mode overloads. International Journal of Fatigue27: 905–913.
26.
SarkheilSFoumaniMS (2014) Numerical and experimental study on the optimization of overload parameters for the increase of fatigue life. Aerospace Science & Technology35: 80–86.
27.
ShenFHuWMengQ (2016) A non-local approach based on the hypothesis of damage dissipation potential equivalence to the effect of stress gradient in fretting fatigue. International Journal of Fatigue90: 125–138.
28.
ShenFHuWVoyiadjisGZet al.(2015) Effects of fatigue damage and wear on fretting fatigue under partial slip condition. Wear338–339: 394–405.
29.
ShenFVoyiadjisGZHuWet al.(2015) Analysis on the fatigue damage evolution of notched specimens with consideration of cyclic plasticity. Fatigue & Fracture of Engineering Materials & Structures38: 1194–1208.
30.
SmithMCBouchardPJTurskiM (2012) Accurate prediction of residual stress in stainless steel welds. Computational Materials Science54: 312–328.
31.
SunYVoyiadjisGZHuWet al.(2017) Fatigue and fretting fatigue life prediction of double-lap bolted joints using continuum damage mechanics-based approach. International Journal of Damage Mechanics26(1): 162–188.
32.
SureshSGiannakopoulosAE (1998) A new method for estimating residual stresses by instrumented sharp indentation. Acta Materialia46: 5755–5767.
33.
TheilN (2016) Fatigue life prediction method for the practical engineering use taking in account the effect of the overload blocks. International Journal of Fatigue90: 23–35.
34.
Walker EK (1970) The effect of stress ratio during crack propagation and fatigue for 2024-T3 and 7075-T6 aluminum. Effects of environment and complex load history on fatigue life. ASTM International.
35.
WarhadpandeASadeghiFKotzalasMNet al.(2012) Effects of plasticity on subsurface initiated spalling in rolling contact fatigue. International Journal of Fatigue36: 80–95.
36.
XiaoLYeDChenCet al.(2014) Instrumented indentation measurements of residual stresses around a crack tip under single tensile overloads. International Journal of Mechanical Sciences78: 44–51.
37.
ZghalJGmatiHMareauCet al.(2016) A crystal plasticity based approach for the modelling of high cycle fatigue damage in metallic materials. International Journal of Damage Mechanics25: 611–628.
38.
ZhangTMchughPELeenSB (2012) Finite element implementation of multiaxial continuum damage mechanics for plain and fretting fatigue. International Journal of Fatigue44: 260–272.
39.
ZhanZHuWZhangMet al.(2015a) The fatigue life prediction for structure with surface scratch considering cutting residual stress, initial plasticity damage and fatigue damage. International Journal of Fatigue74: 173–182.
40.
ZhanZHuWMengQet al.(2015b) Continuum damage mechanics-based approach to the fatigue life prediction for 7050-T7451 aluminum alloy with impact pit. International Journal of Damage Mechanics25: 943–966.
41.
ZuoFJHuangHZZhuSPet al.(2015) Fatigue life prediction under variable amplitude loading using a non-linear damage accumulation model. International Journal of Damage Mechanics24(5): 767–784.
