Fatigue crack-tip plasticity revisited - The issue of shape addressed

Theoretical and Applied Fracture Mechanics

Volumn 26, Issue 2, 1997, Pages 63-79

  Harmain, G A ^a   Provan, J W ^a  

^a UNIVERSITY OF VICTORIA   (Canada)

Author keywords

[No Author keywords available]

Indexed keywords

ESTIMATION; FATIGUE OF MATERIALS; MATHEMATICAL MODELS; PLASTICITY TESTING; STRESS CONCENTRATION;

FATIGUE CRACK TIP PLASTICITY;

CRACK INITIATION;

CRACK PROPAGATION; FATIGUE; PLASTICITY;

EID: 0031104357     PISSN: 01678442     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0167-8442(96)00036-5     Document Type: Article

References (48)

1. D. Broek, The Practical Use of Fracture Mechanics (Kluwer Academic Publishers, Netherlands, 1-21, 1989).
2. H.M. Westergaard, Bearing pressures and cracks, J. Appl Mech. 61, A49-53 (1939).
3. S.T. Rolfe and J.M. Barsom, Fracture and Fatigue Control in Structures, Applications of Fracture Mechanics (Prentice-Hall, New Jersey, 1977).
4. K. Hellen, Introduction to Fracture Mechanics (McGraw-Hill Book Company, New York, 1984).
5. G.R. Irwin, Analysis of stresses and strains near the end of a crack traversing a plate, J. Appl. Mech. 24, 361-364 (1957).
6. G.R. Irwin, in: S. Flugge (ed.), Handbuch der Physik, Vol. VI (Springer, 551-590, 1958).
7. G. Harlin and J.R. Willis, The influence of crack size on ductile-brittle transition, Proc. R. Soc. London A 415, 197-226 (1988).
8. D.E. Hauf, D.M. Parks and H. Lee, A modified effective crack-length formulation in elastic-plastic fracture mechanics, Mech. Mater. 20, 273-289 (1995).
9. D.S. Dugdale, Yielding of steel sheets containing slits, J. Mech. Phys. Solids 8, 100-108 (1960).
10. H. Tada, P.C. Paris and G.R. Irwin, The Stress Analysis of Cracks Handbook, 2nd Ed. (Fracture Proof Design, Saint Louis, MO, 1985).
11. J.W. Hutchinson, Plastic stress and strain fields at a crack tip, J. Mech. Phys. Solids 16, 337-347 (1968).
12. J.R. Rice and G.F. Rosengren, Plane strain deformation near a crack tip in a power-law hardening material, J. Mech. Phys. Solids 16, 1-12 (1968).
13. T.M. Edmunds and J.R. Willis, Matched asymptotic expansions in nonlinear fracture mechanics - III. In-plane loading of an elastic perfectly plastic symmetric specimen, J. Mech. Phys. Solids 25, 423-455 (1977).
14. T.L. Sham, A finite-element study of the asymptotic near-tip fields for mode I plane-strain cracks growing stably in elastic-ideally plastic solids, in: C.F. Shih and J.P. Gudas (eds.), Elastic - Plastic Facture: Second Symposium, Inelastic Crack Analysis, Vol. I, ASTM STO 803, I-52-I-79 (1984).
15. P.D. Hilton and J.W. Hutchinson, Plastic intensity factors for cracked plates, Eng. Fract. Mech. 3, 435-451 (1971).
16. S.G. Larsson and A.J. Carlsson, Influence on non-singular stress terms and specimen geometry on small scale yielding at crack tips in elastic-plastic material, J. Mech. Phys. Solids 21, 263-277 (1973).
17. M.L. Williams, On the stress distribution at the base of stationary crack, J. Appl. Mech. 24, 111-114 (1957).
18. P.S. Leevers and J.C. Radon, Inherent stress biaxiality in various fracture specimen geometries, Int. J. Fract. 19, 311-325 (1982).
19. J.R. Rice, Limitations to the small yielding approximatilon for crack tip plasticity, J. Mech. Phys. Solids 22, 17-26 (1974).
20. C. Betegon and J.W. Hancock, Two-parameter characterization of elastic-plastic crack-tip fields, J. Appl. Mech. 58, 104-110 (1991).
21. C.F. Shih, N.P. O'Dowd and M.T. Kirk, A framework for quantifying crack tip constraint, in: E.M. Hackett, K.H. Schwalbe and R.H. Dodds (eds.), Constraint Effects in Fracture, ASTM STP 1171, Philadelphia, 2-20 (1993).
22. Y.Y. Wang and D.M. Parks, Evaluation of elastic T-stress in surface cracked plates using the line-spring method. Int. J. Fract. 56, 25-40 (1992).
23. S.C. Hollister, Experimental study of stressses at a crack in a compression member, Proc. Am. Concr. Inst. 30, 361-365 (1934).
24. D. Post, Photoelastic stress analysis for an edge crack in a tensile field, Proc. Soc. Exp. Stress Anal. 12(1), 99-116 (1954).
25. G.R. Irwin, Fracture Mechanics, in: J.N. Goodier and N.J. Horr (eds.), Structural Mechanics, Proceedings (Pregamon Press, New York, 557-594, 1958).
26. G.T. Hahn and R.A. Rosenfield, Plastic zones generated by cracks growing under load. Int. J. Fract. Mech. 4(2), 79-88 (1968).
27. G.T. Hahn, M. Sarrate and R.A. Rosenfield, Plastic zones in Fe-3Si steel double-cantilever-beam specimens, Int. J. Fract. Mech. 7(4), 435-446 (1971).
28. W.K. Wilson, Geometry and Loading Effects on Elastic Stresses at Crack Tips, Westinghouse Research Report 67-1D7-BTLPV-R1 Properietery Class 3, July 3 (1967).
29. C. Loye, C. Bathias, D. Retali and J.C. Devaux, The plastic zone ahead of a fatigue crack in 316 stainless steel, in: Fatigue Mechanism: Advances in Quantitative Measurement of Physical Damage, ASTM STP, 427-444 (1983).
30. N. Ranganathan, K. Jendoubi and N. Merah, Experimental characterization of the elastic-plastic strain fields at the crack tip due to cyclic loading, J. Eng. Mater. Technol. 116, 187-192 (1994).
31. A. Csizmazia and E. Czoboly, Determination of plastic zones in compact specimens of aluminium, Theor. Appl. Fract. Mech. 8, 11-19 (1987),
32. I.S. Tuba, A method of elastic-plastic plane stress and strain analysis, J. Strain Anal. 2, 115-120 (1966).
33. J.L. Swedlow, Elastoplastic cracked plates in plane strain, Int. J. Fract. Mech. 5, 33-44 (1969).
34. D.J. Ayres, A numerical procedure for calculating stress and deformation near a slit in a three-dimensional elastic-plastic solid, Eng. Fract. Mech. 2, 87-106 (1970).
35. A.K. Head, On the growth of fatigue cracks, Philos. Mag. 44(7c), 725 (1953).
36. H.W. Liu, Crack Propagation in Thin Metal Sheet Under Repeated Loading, Ph.D. Dissertation, Department of Theoretical and Applied Mechaics, University of Illinois, Urbana, IL (1959).
37. P.C. Paris, M.P. Gomez and W.P. Anderson, A rational analytic theory of fatigue, Trend Eng. 13, 9-14 (1961).
38. H.W. Liu, Fatigue crack propagation and applied stress range, ASME Trans. J. Basic Eng. 85D(1), 116-122 (1963).
39. P.C. Paris and F. Erdogan, A critical analysis of crack propagation laws, ASME Trans. J. Basic Eng. 85D(4), 528-534 (1963).
40. P.C. Paris, The Growth of Crack Due to Variations in Loads, Ph.D. Thesis, Bethlehem: Lehigh University (1960).
41. J.R. Rice, Mechanics of Crack Tip Deformation and Extension by Fatigue, in: Fatigue Crack Propagation, ASTM STP 415, 247-309 (1967).
42. G.T. Hahn, R.G. Hoagland and A.R. Rosenfield, Local yielding attending fatigue crack growth, Metall. Trans. 3A, 1189-1202 (1972).
43. R.E. Jones, Fatigue crack growth retardation after single-cycle peak overload in Ti-6Al-4V titanium alloy, Eng. Fract. Mech. 5, 585-604 (1973).
44. B. Budiansky and J.W. Hutchinson, Analysis of closure in fatigue crack growth, J. Appl. Mech. 45, 267-276 (1978).
45. G. Glinka, A cumulative mode of fatigue crack growth, Int. J. Fatigue, 59-67 (1982).
46. S. Suresh, Fatigue of Materials (Cambridge University Press, New York, 1991).
47. H.W. Liu, A review of fatigue crack growth analyses, Theor. Appl. Fract. Mech. 16, 91-108 (1991).
48. J.C. Newman, A crack opening stress equation for fatigue crack growth, Int. J. Fract. 24, 131-135 (1984).