Abstract
The maximum-distortion-energy ellipse is shown to be a well-defined boundary for certain high-cycle fatiguelimit data having gradient-induced scatter. In connection with this, the nonzero gradients are seen to have only a beneficial effect on fatigue behavior. The work is limited to fully reversed biaxial-stress components which are either in-phase or 180 degrees out-of-phase with each other. A means to account for anisotropy in fatigue properties is tentatively suggested.
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Abbreviations
- C :
-
squared ratio ofS se toS e
- D :
-
dimension, mm
- r :
-
ratio of fatigue limits,\(\bar S_{e1} \) and\(\bar S_{e2} \)
- S e :
-
fatigue limit for rotating bending of unnotched specimens, Pa or psi
- \(\bar S_e \) :
-
fully reversed, tension-compression fatigue limit of unnotched speciments with assumed isotropic fatique properties, Pa or psi
- \(\bar S_{e1} ,\bar S_{e2} \) :
-
tension-compression fatigue limits of unnotched specimens in the directions of principal anisotropy, Pa or psi
- S se :
-
fatigue limit for fully reversed torsion of unnotched specimens, Pa or psi
- σ:
-
bending stress in a combined bending and torsion test, Pa or psi
- σ xa :
-
alternating normal stress acting on the critical stress element in the x direction, Pa or psi
- σ 1a,σ2a :
-
alternating principal stresses at the critical stress element, Pa or psi
- τ:
-
shear stress in a combined bending and torsion test, Pa or psi
- τ xya :
-
alternating shearing stress acting on the x and y faces of the critical element, Pa or psi
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Munday, E.G., Mitchell, L.D. The maximum-distortion-energy ellipse as a biaxial fatigue criterion in view of gradient effects. Experimental Mechanics 29, 12–15 (1989). https://doi.org/10.1007/BF02327775
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DOI: https://doi.org/10.1007/BF02327775