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An analysis of metal fatigue based on hysteresis energy

Main purpose of investigation is to extend Halford's work on low-cycle fatigue to the medium- and high-cycle range by including the concept of an endurance limit

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Abstract

Halford's plastic-energy concept for lowcycle fatigue is extended to the medium- and high-cycle ranges. The resulting equations are compared with 74 sets of data in the medium- and high-cycle ranges. The difference in stress between theory and experimental data is less than ±5 percent.

The plastic-hysteresis-energy analysis for fatigue is shown to be consistent with the octahedral shear-stress theory. In addition, an improvement is presented for Manson's correlation for the total strain amplitude at 104 cycles.

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Abbreviations

c :

Coffin-Manson constant (fatigue ductility exponent)

N :

number of cycles to failure

n′:

strain-hardening exponent

W f :

fatigue toughness, in.-lb/in.3

ΔW :

plastic hysteresis energy per cycle, in.-lb/in.3

ΔW o :

endurance hysteresis energy per cycle, in.-lb/in.3

ε f :

true fracture ductility

ε p :

true plastic-strain amplitude

ε T :

total-strain amplitude

σ a :

true-stress amplitude, psi

σ f :

true fracture stress, psi

σ o :

endurance limit, psi

σ μ :

ultimate tensile strength, psi

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Consultant, IBM Corp.

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Chang, C.S., Pimbley, W.T. & Conway, H.D. An analysis of metal fatigue based on hysteresis energy. Experimental Mechanics 8, 133–137 (1968). https://doi.org/10.1007/BF02326108

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