The near-tip fields of small edge (Case B) cracks in power-law hardening materials are investigated under generalized plane strain, mixed mode, and general yielding conditions by finite element analyses. The results of the J integral from the finite element analyses are used to correlate to a fatigue crack growth criterion for Case B cracks. The trend of constant J contours on the Γ-plane is compared reasonably well with those of the experimental results of constant fatigue life and constant fatigue crack growth rate under multiaxial loading conditions.
Issue Section:
Technical Papers
1.
Forsyth, P. J. E, 1961, “A Two Stage Process of Fatigue Crack Growth,” Proc., Crack Propagation Symposium, Cranfield, CN, pp. 76–94.
2.
Dowling
, N. E.
, and Begley
, J. A.
, 1976
, “Fatigue Crack Growth during Gross Plasticity and the J-Integral,” Mechanics of Crack Growth
, ASTM Spec. Tech. Publ.
, 590
, American Society of Testing and Materials, Philadelphia, PA, pp. 82
–103
.3.
Dowling
, N. E.
, 1977
, “Crack Growth during Low-Cycle Fatigue of Smooth Axial Specimens,” Mechanics of Crack Growth
, ASTM Spec. Tech. Publ.
, 637
, American Society of Testing and Materials, Philadelphia, PA, pp. 97
–121
.4.
Brown
, M. W.
, and Miller
, K. J.
, 1973
, “A Theory for Fatigue Failure under Multiaxial Stress-Strain Conditions
,” Proc. Inst. Mech. Eng.
, 187
, pp. 745
–755
.5.
Wang, Y., and Pan, J., 1996, “Characterization of Low-Cycle Multiaxial Fatigue by a Plastic Fracture Mechanics Model,” Fatigue and Fracture, Vol 1, ASME PVP-Vol. 323, New York, pp. 317–322.
6.
Wang
, Y.
, and Pan
, J.
, 1998
, “A Plastic Fracture Mechanics Model for Characterization of Mutiaxial Low-Cycle Fatigue
,” Int. J. Fatigue
, 20
, pp. 775
–784
.7.
Brown
, M. W.
, and Miller
, K. J.
, 1979
, “High Temperature Low Cycle Biaxial Fatigue of Two Steels
,” Fatigue Fract. Eng. Mater. Struct.
, 1
, pp. 217
–229
.8.
Ogata
, T.
, Nitta
, A.
, and Blass
, J. J.
, 1993
, “Propagation Behavior of Small Cracks in 304 Stainless Steel under Biaxial Low-Cycle Fatigue at Elevated Temperature,” Advances in Multiaxial Fatigue
, ASTM Spec. Tech. Publ.
, 1191
, American Society of Testing and Materials, Philadelphia, PA, pp. 313
–325
.9.
Il’yushin
, A. A.
, 1946
, “The Theory of Small Elastic-Plastic Deformations
,” Prikl. Mat. Mekh., PMM
, 10
, pp. 347
–356
.10.
Rice
, J. R.
, 1968
, “A Path Independent Integral and the Approximate Analysis of Strain Concentration by Notches and Cracks
,” ASME J. Appl. Mech.
, 35
, pp. 379
–386
.11.
Hutchinson
, J. W.
, 1968
, “Plastic Stress and Strain Fields at a Crack Tip
,” J. Mech. Phys. Solids
, 16
, pp. 337
–347
.12.
Hutchinson
, J. W.
, 1968
, “Singular Behaviour at the End of a Tensile Crack in a Hardening Material
,” J. Mech. Phys. Solids
, 16
, pp. 13
–31
.13.
Rice
, J. R.
, and Rosengren
, G. F.
, 1968
, “Plane Strain Deformation near a Crack Tip in a Power-Law Hardening Material
,” J. Mech. Phys. Solids
, 16
, pp. 1
–12
.14.
Shih, C. F., 1973, “Elastic-Plastic Analysis of Combined Mode Crack Problems,” Ph.D. thesis, Harvard University, Cambridge, MA.
15.
Parsons
, M. W.
, and Pascoe
, K. J.
, 1976
, “Observations of the Surface Deformation, Crack Initiation and Crack Growth in Low-Cycle Fatigue under Biaxial Stress
,” Mater. Sci. Eng.
, 22
, pp. 31
–50
.16.
Rice, J. R., 1982, “Elastic-Plastic Cracks Growth,” Mechanics of Solids: The R. Hill 60th Anniversary Volume, eds., H. G. Hopkins and M. J. Sewell, Pergamon Press, Oxford, UK, pp. 539–562.
17.
Newman
, J. C.
, 1995
, “Fatigue-Life Prediction Methodology Using a Crack–Closure Model
,” ASME J. Eng. Mater. Technol.
, 117
, pp. 433
–439
.18.
Zheng
, M.
, and Liu
, H. W.
, 1986
, “Fatigue Crack Growth under General-Yielding Cyclic-Loading
,” ASME J. Eng. Mater. Technol.
, 108
, pp. 201
–205
.19.
Wang
, Y.
, and Pan
, J.
, 1999
, “Development of a Multiaxial Fatigue Theory by Considering Constraint effects on Small Mixed-Mode Cracks
,” Int. J. Solids Struct.
, 36
, pp. 4543
–4562
.Copyright © 2001
by ASME
You do not currently have access to this content.
