RETRACTED: Reliability analysis of mechanical components based on a nonlinear fatigue damage accumulation model

Abed FH Saffarini MH Abdul-Latif A et al. (2017) Flow stress and damage behavior of C45 steel over a range of temperatures and loading rates. Journal Engineering Material Technology 139(2): 1012–1018.

Aeran A Siriwardane SC Mikkelsen O et al. (2017) A new nonlinear fatigue damage model based on S-N curve parameters. International Journal of Fatigue 103: 327–341.

Badnava H Mashayekhi M Kadkhodaei M (2016) An anisotropic gradient damage model based on microplane theory. International Journal of Damage Mechanics 25(3): 336–357.

Besson J (2010) Continuum models of ductile fracture: A review. International Journal of Damage Mechanics 19(1): 3–52.

Chaboche JL Lesne PM (1988) A non-linear continuous fatigue damage model. Fatigue & Fracture of Engineering Materials & Structures 11(1): 1–17.

Corten HT and Dolan TJ (1956) Cumulative fatigue damage. In: Proceedings of the international conference on fatigue of metals, New York, 28–30 November 1956. Neew York, NY: The American Society for Mechanical Engineers.

Fang YQ Hu MM Luo YL (2006) New continuous fatigue damage model based on whole damage field measurements. Chinese Journal of Mechanical Strength 28(4): 582–596.

Fatemi A Yang L (1998) Cumulative fatigue damage and life prediction theories: A survey of the state of the art for homogeneous materials. International Journal of Fatigue 20(1): 9–34.

Gao P Yan SZ Xie LY et al. (2013) Dynamic reliability of mechanical components based on equivalent strength degradation paths. Journal of Mechanical Engineering 59(6): 387–399.

Ge WJ Li ZH Lv QY (2011) Restoration technology of 30CrMnSiA steel parts on airplane by electroless Ni-plating. Advanced Materials Research 154: 1508–1512.

Gu YW An WG An H (2007) Structural reliability analysis under dead load and fatigue load. Acta Armamentar 28(12): 1473–1477.

Hashin Z Rotem A (1978) A cumulative damage theory of fatigue failure. Material Science Engineering 34(2): 147–160.

Jian LS Wei L Qing TD et al. (2018) A new fatigue damage accumulation model considering loading history and loading sequence based on damage equivalence. International Journal of Damage Mechanics 27(5): 707–728.

Lee YL (2011) Fatigue Testing and Analysis: Theory and Practice, Saint Louis, MO: Butterworth-Heinemann.

Lu HB Yao WX (2000) Residual strength model of elements fatigue reliability evaluation. Journal of Chinese Society of Aeronautics 21(1): 74–77.

Lu WG Xie LY Xu H (1997) A nonlinear model of strength degradation. Chinese of Journal of Mechanical Strength 19(2): 55–62.

Lv BT Lv XY Zheng XL (1989) Effects of microstructure on fatigue crack initiation and propagation of 16Mn steel. Metallurgical and Materials Transactions 20(3): 413–419.

Lv ZQ Huang HZ Zhu SP et al. (2015) A modified nonlinear fatigue damage accumulation model. International Journal of Damage Mechanics 24(2): 168–181.

Manson SS, Freche JC and Ensign CR (1966) Application of a double linear damage rule to cumulative fatigue. In: Symposium on crack propagation, Atlantic City, NJ, 26 June–1 July 1966, pp.384–412. West Conshohocken, PA: American Society for Testing and Materials.

Manson SS Halford GR (1981) Practical implementation of the double linear damage rule and damage curve approach for treating cumulative fatigue damage. International Journal of Fracture 17(2): 169–192.

Mesmacque G Garcia S Amrouche A et al. (2005) Sequential law in multiaxial fatigue, a new damage indicator. International Journal of Fatigue 27(4): 461–467.

Miner MA (1945) Cumulative damage in fatigue. Journal of Applied Mechanics 12(3): 159–164.

Peng ZC Huang HZ Wang HK (2016) A new approach to the investigation of load interaction effects and its application in residual fatigue life prediction. International Journal of Damage Mechanics 25(5): 672–690.

Rathod V Yadav OP Rathore A (2011) Probabilistic modeling of fatigue damage accumulation for reliability prediction. International Journal of Quality, Statistics and Reliability 2011: 1–10.

Rege K Pavlou DG (2017) A one-parameter nonlinear fatigue damage accumulation model. International Journal of Fatigue 98: 234–246.

Shang DG Yao WX (1998) Study on nonlinear continuous damage cumulative model for uniaxial fatigue. Chinese Journal of Aeronautics 19(6): 647–656.

Shang DG Yao WX (1999) A nonlinear damage cumulative model for uniaxial fatigue. International Journal of Fatigue 21: 187–194.

Subramanyan S (1976) A cumulative damage rule based on the knee point of the S-N curve. Journal of Engineering Materials and Technology Transactions of the ASME 98(4): 316–321.

Sun JP Zhaoping T Yiping L (2018) Time-dependent reliability analysis for structures under multi-level loads and cumulative damages. China Mechanical Engineering 29(7): 794–803.

Svensson T (2002) Cumulative fatigue damage taking the threshold into account. Fatigue and Fracture of Engineering Materials and Structures 25: 871–875.

van Noortwijk JM Weide JAM Kallen MJ et al. (2007) Gamma processes and peaks-over-threshold distributions for time-dependent reliability. Reliability Engineering and System Safety 92: 1651–1658.

Wang Z (2007) Theory and Method for Time-Dependent Reliability Models of Components and Systems, Shenyang, China: Northeastern University.

Yuan R, Li HQ, Huang HZ, et al. (2012) A new fatigue damage accumulation model based on nonlinear continuum damage mechanics. International Conference on Quality, Reliability, Risk, Maintenance and Safety Engineering, Chengdu, China, 15–18 June 2012, pp.875–878. Piscataway, NJ: IEEE.

Yuan R Li HQ Huang HZ et al. (2013) A new non-linear continuum damage mechanics model for fatigue life prediction under variable loading. Mechanika 19(5): 506–511.

Yuan R Li HQ Huang HZ et al. (2015) A nonlinear fatigue damage accumulation model considering strength degradation and its applications to fatigue reliability analysis. International Journal of Damage Mechanics 24(5): 646–662.

Zhu SP Huang HZ Liu Y (2013) An efficient life prediction methodology for low cycle fatigue-creep based on ductility exhaustion. International Journal of Damage Mechanics 22(4): 556–571.

Zhu SP Huang HZ Wang ZL (2011) Fatigue life estimation considering damaging and strengthening of low amplitude loads under different load sequences using fuzzy sets approach. International Journal of Damage Mechanics 20(6): 876–899.

Zuo FJ Huang HZ Zhu SP et al. (2015) Fatigue life prediction under variable amplitude loading using a nonlinear damage accumulation model. International Journal of Damage Mechanics 24(5): 767–784.