scholarly journals Short Subsurface Cracks Under Conditions of Slip and Stick Caused by a Moving Compressive Load

1985 ◽  
Vol 52 (4) ◽  
pp. 811-817 ◽  
Author(s):  
S. Sheppard ◽  
J. R. Barber ◽  
M. Comninou
Keyword(s):  
Stress Intensity ◽  
Stress Intensity Factors ◽  
Coulomb Friction ◽  
Compressive Load ◽  
Rolling Contact ◽  
Intensity Factors ◽  
Subsurface Cracks ◽  
Spalling Failure ◽  
Load Location ◽  
Crack Faces

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.

scholarly journals Subsurface Cracks Under Conditions of Slip, Stick, and Separation Caused by a Moving Compressive Load

1987 ◽  
Vol 54 (2) ◽  
pp. 393-398 ◽  
Author(s):  
S. D. Sheppard ◽  
J. R. Barber ◽  
M. Comninou
Keyword(s):  
Integral Equation ◽  
Stress Intensity ◽  
Coulomb Friction ◽  
Compressive Load ◽  
Mode I ◽  
Subsurface Crack ◽  
Intensity Factors ◽  
Subsurface Cracks ◽  
Load Location ◽  
Crack Faces

The Mode I and II stress intensity factors (KI, KII) at the two tips of a subsurface crack subjected to a moving compressive load are studied. Coulomb friction along the crack faces results in a number of history dependent slip-stick configurations and nonsymmetric variation in KI and KII. The formulation used to study this variation involves a singular integral equation in two variables which must be solved numerically, and because of the history dependence, requires an incremental solution. Crack lengths and coefficients of friction that result in as many as three zones for any load location are considered in this paper, while a previous paper (Sheppard et al., in press) was limited to configurations involving two zones only.

Some comments on stress intensity factor calculation using different mechanisms and procedures for rolling contact fatigue cracks

2009 ◽  
Vol 223 (3) ◽  
pp. 209-221 ◽  
Author(s):  
M Akama ◽  
T Nagashima
Keyword(s):  
Stress Intensity ◽  
Fatigue Cracks ◽  
Rolling Contact Fatigue ◽  
Fluid Pressure ◽  
Contact Fatigue ◽  
Rolling Contact ◽  
Intensity Factors ◽  
The Past ◽  
Crack Faces ◽  
Inclined Surface

Recently, attempts have been underway to simulate rolling contact fatigue (RCF) crack growth in the railhead, including also the effect of wear on maintaining the integrity of the rail and saving cost. At this juncture, it is essential to confirm whether the past analyses are adequate and what extent of differences exists when the different mechanisms or numerical procedures are applied to the same conditions in the RCF problem. Therefore, boundary-element analyses of stress intensity factors (SIFs) at the inclined surface crack tip under RCF conditions have been performed. Comparisons were made between SIFs calculated by the present analyses and those done by the numerical procedures of other researchers in the RCF problem. From this study, it was recognized that a special program should be developed to analyse the SIFs when the fluid pressure is taken into account. It was also found out that, for the analyses of SIFs, the iteration procedure with convergence calculation to specify the extent and location of locked, slipped, and separated regions on the crack faces should be used.

scholarly journals Bending by Concentrated Force of a Cantilever Strip Having a Through-thickness Crack Perpendicular to Its Axis

2020 ◽  
Vol 10 (6) ◽  
pp. 2037 ◽  
Author(s):  
Mykhaylo Delyavskyy ◽  
Viktor Opanasovych ◽  
Oksana Bilash
Keyword(s):  
Stress Intensity ◽  
Analytical Solution ◽  
Contact Area ◽  
Complex Variable ◽  
Stress Intensity Factors ◽  
Intensity Factors ◽  
Concentrated Force ◽  
Crack Location ◽  
Perfect Contact ◽  
Crack Faces

The article focuses on the bending problem for a cantilever beam with a straight through-thickness crack, perpendicular to its axis under bending by concentrated force. Depending on the crack location in relation to the axis, crack faces may be in three states: perfect contact, particular contact, or noncontact. Using the theory of functions of complex variable and complex potentials, the considered problem was reduced to a linear conjunction one. An analytical solution of the problem was obtained. In the case of particular contact, the length of the contact area and stress intensity factors were determined. The ultimate force that causes beam destruction was determined. Numerical analyses of the problem were also performed.

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