Effects of stick-slip on stress intensity factors for subsurface short cracks in rolling contact

The mechanism of spalling failure in rolling contact is modeled by an elastic half-plane with a subsurface crack parallel to the surface, loaded by a compressive normal force which moves over the surface. Coulomb friction at the crack faces reduces the Mode II Stress Intensity Factors and results in a number of history-dependent slip-stick configurations. The formulation used to study these involves a singular integral equation in two variables which must be solved numerically, and because of the history dependence, requires in an incremental solution. Only crack lengths and coefficients of friction that result in a maximum of two slip or stick zones for any load location are considered in this paper. It is found that the maximum range of stress intensity factors occurs at the trailing crack tip.

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Stress Intensity Factors Evaluation for Rolling Contact Fatigue Cracks in Rails

Tribology Transactions ◽

10.1080/10402004.2016.1197351 ◽

2016 ◽

Vol 60 (4) ◽

pp. 645-652 ◽

Cited By ~ 18

Author(s):

Reza Masoudi Nejad ◽

Khalil Farhangdoost ◽

Mahmoud Shariati ◽

Majid Moavenian

Keyword(s):

Stress Intensity ◽

Stress Intensity Factors ◽

Fatigue Cracks ◽

Rolling Contact Fatigue ◽

Contact Fatigue ◽

Rolling Contact ◽

Intensity Factors

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Empirical Stress Intensity Factors for Surface Cracks under Rolling Contact Fatigue

Tribology Transactions ◽

10.1080/10402001003642759 ◽

2010 ◽

Vol 53 (4) ◽

pp. 621-629 ◽

Cited By ~ 4

Author(s):

George Levesque ◽

Nagaraj K. Arakere

Keyword(s):

Stress Intensity ◽

Stress Intensity Factors ◽

Rolling Contact Fatigue ◽

Contact Fatigue ◽

Rolling Contact ◽

Surface Cracks ◽

Intensity Factors

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Stress-Intensity Factors for Arbitrarily Oriented Cracks in Shallow Shells

Journal of Applied Mechanics ◽

10.1115/1.3424215 ◽

1978 ◽

Vol 45 (1) ◽

pp. 135-141 ◽

Cited By ~ 7

Author(s):

J. G. Simmonds ◽

M. R. Bradley ◽

J. W. Nicholson

Keyword(s):

Stress Intensity ◽

Stress Intensity Factors ◽

Fourier Transforms ◽

Singular Integral Equations ◽

Stress And Strain ◽

Crack Orientation ◽

Intensity Factors ◽

Shallow Shells ◽

Short Cracks ◽

Line Of Curvature

The equations describing the stress and strain fields in an elastically isotropic shallow shell containing a crack are reduced, via Fourier transforms, to four coupled singular integral equations plus side conditions. A perturbation solution, useful for relatively short cracks, is constructed for a pressurized shell of revolution containing a stress-free crack that makes an arbitrary angle with a line of curvature of the midsurface. First-order corrections due to curvature and crack orientation of the mode I (opening) and mode II (shearing) stress-intensity factors for a plate are computed analytically.

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Stress Intensity Factors for Small Cracks in the Rim of Disks and Rings Subjected to Rolling Contact

Journal of Tribology ◽

10.1115/1.3261258 ◽

1986 ◽

Vol 108 (4) ◽

pp. 540-544 ◽

Cited By ~ 6

Author(s):

T. S. Lei ◽

V. Bhargava ◽

G. T. Hahn ◽

C. A. Rubin

Keyword(s):

Stress Intensity ◽

Residual Stresses ◽

Stress Intensity Factors ◽

Frictional Resistance ◽

High Strength ◽

Rolling Contact ◽

Intensity Factors ◽

Surface Shear ◽

Faces Iv ◽

Small Cracks

The influence of the residual stresses attending the plastic deformation of a rim on the cyclic crack growth driving force produced by repeated two-dimensional rolling contacts is evaluated. The residual stresses are estimated for disks and rings with different geometries. Values of the Mode II and Mode I stress intensity range, ΔKI and ΔKII, are derived for small, subsurface cracks from the variations in the stress intensity factors with position of the contact for rolling in the absence of surface shear tractions. The calculations take into account (i) steady-state contact stresses generated by a relative peak pressure of po/k = 5; (ii) the radial and circumferential residual stresses, (iii) the frictional resistance on the crack faces; (iv) the crack inclination, and (v) the relative ratios of the inner and outer ring radii. A prediction of the crack initiation and growth rate for high strength steel is illustrated.

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