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An Energy-Based Torsional-Shear Fatigue Lifing Method

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Abstract

An energy-based fatigue-life prediction framework for the determination of full-life, remaining-life, and critical-life of in-service structures subjected to torsional-shear loading has been developed. This framework is developed upon the existing foundation of energy-based fatigue models crafted for the axial, uniaxial bending, and transverse-shear loading cases, which state: the total strain energy density accumulated during both a monotonic event and a cumulative cyclic process is the same material property. The modified energy-based torsional-shear fatigue-life prediction framework is composed of the following entities: (1) the development of a torsional-shear fatigue testing procedure capable of assessing strain energy density per cycle in a pure shear stress state and (2) the determination of the remaining-life and critical-life of in-service aluminum (Al) 6061-T6 structures subjected to shear fatigue through the application of the energy-based prediction method. Experimental data was shown to be affected by load-frame misalignment which was estimated and successfully incorporated into the validation results. Close correlation between adjusted experimental results and the full-life and critical-life predictions stemmed from a 3-to-2 shear-to-axial biaxial loading assumption, which was supported by crack path comparisons. Results of the study effectively demonstrated the versatility of the energy-based lifing method.

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Abbreviations

E :

Young’s modulus

G :

shear modulus

N :

cycles to failure

N c :

critical cycles to failure

p :

principal direction

W :

strain energy density

W cy :

strain energy density, one cycle

W m :

strain energy density, monotonic curve

γ :

shear strain

γ c :

cyclic curve fit coefficient, shear

γ cy :

cyclic shear strain

γ m :

monotonic shear strain

γ o :

monotonic curve fit coefficient, shear

γ u :

shear strain at failure

ε c :

cyclic curve fit coefficient, axial

ε o :

monotonic curve fit coefficient, axial

ε u :

axial strain at failure

σ c :

cyclic curve fit coefficient, axial

σ o :

monotonic curve fit coefficient, axial

σ p :

stress in principal direction p

σ u :

axial stress at failure

τ :

shear stress

τ a :

shear stress amplitude at mean radius of gage length

τ c :

cyclic curve fit coefficient shear

τ o :

monotonic curve fit constant shear

τ pp :

2τ a

τ u :

shear stress at failure

τ y :

0.2% offset shear stress

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Acknowledgements

The authors would like to thank the Dayton Area Graduate Studies Institute (DAGSI) for their financial support of this research, without which it would not be possible. Additionally, the authors would like to thank the Air Force Research Laboratory (AFRL), specifically the Turbine Engine Fatigue Facility (TEFF), for their financial support, facility and equipment access, and encouragement of this research.

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Authors and Affiliations

  1. Department of Mechanical and Aerospace Engineering, The Ohio State University, Columbus, OH, 43210, USA

    J. Wertz & M.-H.H. Shen

  2. Air Force Research Laboratory, Wright-Patterson AFB, Greene, OH, 45433, USA

    O. Scott-Emuakpor, T. George & C. Cross

Authors
  1. J. Wertz
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  2. M.-H.H. Shen
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  3. O. Scott-Emuakpor
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  4. T. George
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  5. C. Cross
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Corresponding author

Correspondence to M.-H.H. Shen.

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Wertz, J., Shen, MH., Scott-Emuakpor, O. et al. An Energy-Based Torsional-Shear Fatigue Lifing Method. Exp Mech 52, 705–715 (2012). https://doi.org/10.1007/s11340-011-9536-6

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  • DOI: https://doi.org/10.1007/s11340-011-9536-6

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