A near surface branching subsurface crack under a rigid cylindrical indenter is analyzed by a complex variable 2-D elasticity formulation. This analysis focuses on the mode II stress intensity factors (SIF) of a straight crack vs. the mode I SIF of a branched crack. The contact portion of the analysis is limited to a Hertzian contact under simple Coulomb friction. The effects of crack depth and length are examined and it is found that for small indenter footprints, as a crack grows parallel to the surface, conditions favor mode I branching toward the surface. [S0742-4787(00)00401-X]
Issue Section:
Technical Papers
Topics:
Fracture (Materials)
1.
Zaretsky
, E. V.
, Parker
, R. J.
, and Anderson
, W. J.
, 1982
, “Rolling Contact Fatigue Testing of Bearing Steels,” American Society for Testing Materials
, ASTM Spec. Tech. Publ.
, 771
, pp. 1
–45
.2.
Chiu
, Y. P.
, Tallian
, T. E.
, McCool
, J. I.
, and Martin
, J. A.
, 1969
, “A Mathematical Model of Spalling Fatigue Failure
,” ASLE Trans.
, 12
, pp. 106
–116
.3.
Sih, G. C., 1973, Methods of Analysis and Solutions of Crack Problems 1, G. C. Sih, ed., Noordhoff International Publishing, Lyden, pp. 21–45.
4.
Swedlow
, J. L.
, 1976
, ASTM Spec. Tech. Publ.
, 601
, pp. 506
–521
.5.
Theocaris
, P. S.
, and Andrianopoulos
, N. P.
, 1982
, “The Mises Elastic-Plastic Boundary as the Core Region in Fracture Criteria
,” Eng. Fract. Mech.
, 16
, pp. 425
–432
.6.
Streit
, R.
, and Finnie
, Il.
, 1980
, “An Experimental Investigation of Crack-Path Directional Stability
,” Exp. Mech.
, 20
, pp. 17
–23
.7.
Ramulu
, M.
, and Kobayashi
, A. S.
, 1985
, “Mechanics of Crack Curving and Branching—a Dynamic Fracture Analysis
,” Int. J. Fract. Mech.
, 27
, pp. 187
–201
.8.
Lo
, K. K.
, 1978
, “Analysis of Branched Cracks
,” ASME J. Appl. Mech.
, 45
, pp. 797
–802
.9.
Miller
, G. R.
, 1988
, “A Preliminary Analysis of Subsurface Crack Branching Under a Surface Compressive Load
,” ASME J. Tribol.
, 110
, pp. 292
–297
.10.
Sheppard
, S.
, Barber
, J. R.
, and Comninou
, M.
, 1985
, “Short Subsurface Cracks Under Conditions of Slip and Stick Caused by a Moving Compressive Load
,” ASME J. Appl. Mech.
, 52
, p. 811
811
.11.
Bryant
, M. D.
, Miller
, G. R.
, and Keer
, L. M.
, 1984
, “Line Contact Between a Rigid Indenter and a Damaged Elastic Body
,” Q. J. Mech. Appl. Math.
, 37
, pp. 467
–478
.12.
Gerasoulis
, A.
, 1982
, “The Use of Piecewise Quadratic Polynomials for the Solution of Singular Integral Equations of Cauchy Type
,” Comput. Math. Appl.
, 8
, pp. 15
–22
.13.
He
, M. Y.
, and Hutchinson
, J. W.
, 1989
, “Kinking of a Crack Out of an Interface
,” ASME J. Appl. Mech.
, 56
, pp. 270
–278
.14.
Muskhelishvili, N. I., 1953, Singular Integral Equations, Noordhoff, Groningen.
15.
Mukai
, D. J.
, Ballarini
, R.
, and Miller
, G. R.
, 1990
, “Analysis of Branched Interface Cracks
,” ASME J. Appl. Mech.
, 57
, pp. 887
–893
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