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Development of improved Manson-Coffin model considering the effect of yield stress under asymmetrical cyclic loading

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Abstract

Life prediction of low cycle fatigue under asymmetrical cyclic loading is still open because the mean stress has complex effect on the fatigue life. In this paper, the yield stress is introduced to the mean stress correction model with natural exponential function description and two novel improved versions of the Manson-Coffin model are proposed. Four sets of experimental fatigue data from SAE 1045 steel, 7075-T651 aluminum alloy, GH4133 super alloy and 16MnR steel are used to validate the proposed models, and the results are compared with those from Morrow model, SWT model and Kwofie model. In addition, life predictions of a turbine disc and a blisk in service conditions are implemented by the proposed models. The results show the proposed models have excellent prediction performance for low cycle fatigue life under asymmetrical cyclic loading.

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Abbreviations

b :

Fatigue strength exponent

c :

Fatigue ductility exponent

E :

Elastic modulus

n :

Total number of data point used in the prediction

N c :

Number of critical positions

N f :

Fatigue life

N fm :

Modified prediction of fatigue life

N t :

Fatigue life from test

R σ :

Stress ratio

R ε :

Strain ratio

S :

Standard deviation

α :

A variable representing the mean stress sensitivity of the material

γ :

Walker exponent

δ :

Prediction error

ε a :

Strain amplitude

ε ea :

Elastic strain amplitude

ε pa :

Plastic strain amplitude

ε′ f :

Fatigue ductility coefficient

σ a :

Stress amplitude

σ ar :

Equivalent symmetrical stress amplitude

σ′f :

Fatigue strength coefficient under symmetrical loading

σ″f :

Fatigue strength coefficient under asymmetrical loading

σ m :

Mean stress

σ max :

Maximum stress

σ s :

Yield stress

σ u :

Ultimate strength

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Acknowledgments

This work is supported by the program (JDL2019031) of Youth Science and Technology Talents Project of Education Department of Liaoning Province, and the program (51875073) of the National Natural Science Foundation of China.

Author information

Authors and Affiliations

  1. National Defense Key Disciplines Laboratory of Light Alloy Processing Science and Technology, Nanchang Hangkong University, Nanchang, 330063, China

    Qipeng Liu, Yuehua Gao & Pengliang Niu

  2. School of Civil Engineering, Dalian Jiaotong University, Dalian, 116028, China

    Qipeng Liu & Guanglong Jiang

  3. College of Locomotive and Rolling Stock Engineering, Dalian Jiaotong University, Dalian, 116028, China

    Yuehua Gao & Yonghua Li

Authors
  1. Qipeng Liu
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  2. Guanglong Jiang
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  3. Yuehua Gao
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  4. Pengliang Niu
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Corresponding author

Correspondence to Yuehua Gao.

Additional information

Yuehua Gao received the Ph.D. degree from Dalian University of Technology in 2009. She studied at the University of Wisconsin-Madison for one year from 2007 to 2008. Now, she is an Associate Professor of Nanchang Hangkong University. Her research interests include new high-performance optimization methods, structural optimization and fatigue analysis, process mechanics and optimization.

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Liu, Q., Jiang, G., Gao, Y. et al. Development of improved Manson-Coffin model considering the effect of yield stress under asymmetrical cyclic loading. J Mech Sci Technol 35, 5415–5424 (2021). https://doi.org/10.1007/s12206-021-1112-0

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  • DOI: https://doi.org/10.1007/s12206-021-1112-0

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