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The effects of out-of-phase biaxial-strain cycling on low-cycle fatigue

Experimental investigation shows a particular phase effect on crack growth and failure mode in the selected low-cycle-fatigue range

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Abstract

The effects of out-of-phase or nonsynchronous straining on low-cycle fatigue was investigated. Biaxial strains were imposed on thin-walled tubular 7075-T6 aluminum specimens by tension—compression and torsion. Phase angles of 0 deg, 30 deg, 45 deg, 60 deg and 90 deg were applied between two strains. It was found that out-of-phase cycling has an effect on the failure mode in the low-cycle-fatigue range. An analysis based on the maximum total strain in three-dimensional strain is proposed for treating “out-of-phase” straining conditions in low-cycle fatigue.

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Abbreviations

N :

cycles to failure

σ:

stress

ε:

strain

εT :

total strain

E :

modulus of elasticity in tension

εf :

strain at fracture

ε el :

elastic strain

ε1, ε2, ε3:

principal strains

μ:

Poisson's ratio

γoct :

octahedral shear strain

ε x :

applied axial strain in thex-direction

γ xy :

applied torsional strain

ϕ:

phase angle between applied strains

ω:

frequency of straining

t :

time

ε y :

strain in they-direction

ε z :

strain in thez-direction

ε″ x :

maximum applied axial strain

γ″ xy :

maximum applied torsional strain

ε″ T :

maximum total strain

ε″1,ε″2,ε″3:

principal strains necessary to produce ε″ T

ε′ x :

applied axial strain necessary to produce ε″ T

γ′ xy :

applied torsional strain necessary to produce ε″ T

References

  1. Taira, S., Inoue, T. and Yoshida, T., “Low-cycle Fatigue Under Multiaxial Stresses,” 11th Congress JSME, 60–65 (March 1968).

  2. Manson, S. S., Thermal Stress and Low Cycle Fatigue, McGraw-Hill Book Co., Inc., New York (1966).

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  3. Zamrik, S. Y. and Goto, T., “The Use of Octahedral Shear Strain Theory in Biaxial Low Cycle Fatigue,” Proc. First Inter-American Conf. on Materials Tech., ASME, 551–562 New York (1968).

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Authors and Affiliations

  1. Engineering Mechanics Department, Pennsylvania State University, 16802, University Park, PA

    S. Y. Zamrik & R. E. Frishmuth

Authors
  1. S. Y. Zamrik
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  2. R. E. Frishmuth
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Zamrik, S.Y., Frishmuth, R.E. The effects of out-of-phase biaxial-strain cycling on low-cycle fatigue. Experimental Mechanics 13, 204–208 (1973). https://doi.org/10.1007/BF02322654

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  • DOI: https://doi.org/10.1007/BF02322654

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