The Theory of Critical Distances as an alternative experimental strategy for the determination of KIc and ΔKth

Engineering Fracture Mechanics

Volumn 77, Issue 9, 2010, Pages 1492-1501

  Susmel, Luca ^a   Taylor, David ^b  

^a UNIVERSITY OF FERRARA   (Italy)

^b TRINITY COLLEGE DUBLIN   (Ireland)

Author keywords

Notches; Plane strain fracture toughness; Theory of Critical Distances; Threshold value of the stress intensity factor

Indexed keywords

ENGINEERING MATERIALS; EXPERIMENTAL METHODOLOGY; EXPERIMENTAL STRATEGY; FATIGUE ASSESSMENTS; FATIGUE LIMIT; LINEAR ELASTIC FRACTURE MECHANICS; MATERIAL PROPERTY; PLAIN FATIGUE LIMIT; PLANE STRAIN FRACTURE TOUGHNESS; TECHNICAL NOTES; TESTING SAMPLES; THEORY OF CRITICAL DISTANCES;

ASPHALT PAVEMENTS; BRITTLE FRACTURE; CRACK INITIATION; DECISION MAKING; FATIGUE TESTING; STRESS CONCENTRATION; STRESS INTENSITY FACTORS; WELDS;

FRACTURE TOUGHNESS;

EID: 77953137872     PISSN: 00137944     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.engfracmech.2010.04.016     Document Type: Article

References (63)

1. Anon. Standard test method for plane-strain fracture toughness of metallic materials. ASTM E399; 1990 [reapproved 1997].
2. Anon. Standard test method for measurement of fatigue crack growth rates. ASTM E647; 2000.
3. Lee Y.L., Pan J., Hathaway R.B., Barkey M.E. Fatigue testing and analysis (theory and practice) 2005, Elsevier Butterworth-Heinemann, Oxford, UK.
4. Neuber H. Theory of notch stresses: principles for exact calculation of strength with reference to structural form and material 1958, Springer Verlag, Berlin. 2nd ed.
5. Peterson R.E. Notch sensitivity. Metal fatigue 1959, 293-306. McGraw Hill, New York. G. Sines, J.L. Waisman (Eds.).
6. Taylor D. The theory of critical distances: a new perspective in fracture mechanics 2007, Elsevier.
7. Whitney J.M., Nuismer R.J. Stress fracture criteria for laminated composites containing stress concentrations. J Compos Mater 1974, 8:253-265.
8. Tanaka K. Engineering formulae for fatigue strength reduction due to crack-like notches. Int J Fract 1983, 22:R39-R45.
9. Taylor D. Geometrical effects in fatigue: a unifying theoretical model. Int J Fatigue 1999, 21:413-420.
10. El Haddad M.H., Topper T.H., Smith K.N. Fatigue crack propagation of short cracks. J Engng Mater Technol (ASME Trans) 1979, 101:42-45.
11. Taylor D. Predicting the fracture strength of ceramic materials using the theory of critical distances. Engng Fract Mech 2004, 71:2407-2416.
12. Taylor D., Merlo M., Pegley R., Cavatorta M.P. The effect of stress concentrations on the fracture strength of polymethylmethacrylate. Mater Sci Engng 2004, A382:288-294.
13. Taylor D., Wang G. The validation of some methods of notch fatigue analysis. Fatigue Fract Engng Mater Struct 2000, 23:387-394.
14. Taylor D. A mechanistic approach to critical-distance methods in notch fatigue. Fatigue Fract Engng Mater Struct 2001, 24:215-224.
15. Susmel L., Taylor D. Fatigue design in the presence of stress concentrations. Int J Strain Anal Engng Compon 2003, 38:443-452.
16. Taylor D., Bologna P., Bel Knani K. Prediction of fatigue failure location on a component using a critical distance method. Int J Fatigue 2000, 22:735-742.
17. Taylor D., Hughest M., Allen D. Notch fatigue behaviour in cast irons explained using a fracture mechanics approach. Int J Fatigue 1996, 18(7):439-445.
18. Gasparini E., Meneghetti G. La Metallurgia Italiana 2002, 3:29-35. [in Italian].
19. Chapetti M.D. High-cycle fatigue of austempered ductile iron (ADI). Int J Fatigue 2007, 29:860-868.
20. DuQuesnay D.L., Topper T.H., Yu M.T. The behaviour of short fatigue cracks 1986, 323-335. EGF Publication 1, Mechanical Engineering Publications, London. K.J. Miller, E.R. de Los Rios (Eds.).
21. DuQuesnay D.L., Yu M.T., Topper T.H. An analysis of notch size effect on the fatigue limit. J Test Eval 1988, 4:375-385.
22. Tanaka K., Nakai Y. Propagation and non-propagation of short fatigue cracks at a sharp notch. Fatigue Fract Engng Mater Struct 1983, 6:315-327.
23. Tanaka K, Akiniwa Y. Notch geometry effect on propagation threshold of short fatigue cracks in notched components. In: Ritchie RO, Starke Jr. EA, editors. Fatigue '87, vol. II, third international conference on fatigue and fracture thresholds, Charlottesville (VA); 1987. p. 739-48.
24. Frost N.E. A relationship between the critical alternating propagation stress and crack length for mild steel. Proc Inst Mech Engng 1959, 173:811-834.
25. Harkegard G. Fatigue thresholds: fundamentals and engineering applications 1981, vol. II:867-879. Chameleon Press Ltd., London. J. Backlund, A.F. Blom, C.J. Beevers (Eds.).
26. Frost N.E. Aeronaut Quart 1957, VIII:1-20.
27. Lukas P., Kunz L., Weiss B., Stickler R. Non-damaging notches in fatigue. Fatigue Fract Engng Mater Struct 1986, 9:195-204.
28. Ting J.C., Lawrence F.V. A crack closure model for predicting the threshold stresses of notches. Fatigue Fract Engng Mater Struct 1993, 16:93-114.
29. Atzori B, Lazzarin P, Meneghetti G. Estimation of fatigue limits of sharply notched components. In: Proceedings of fatigue 2006, Atlanta, Georgia, USA; 2006.
30. Usami S. Short crack fatigue properties and component life estimation. Current research on fatigue cracks 1987, vol. I:119-147. Elsevier Applied Science.
31. Kihara S., Yoshii A. A strength evaluation method of a sharply notched structure by a new parameter, the equivalent stress intensity factor. JSME 1991, 34:70-75.
32. Atzori B., Lazzarin P., Meneghetti G. A unified treatment of the mode I fatigue limit of components containing notches or defects. Int J Fract 2005, 133:61-87.
33. Yu M.T., DuQuesnay D.L., Topper T.H. Notched fatigue behaviour of two cold rolled steels. Fatigue Fract Engng Mater Struct 1991, 14(1):89-101.
34. Chien C.H., Coffin L.F. A new method for predicting fatigue life in notched geometries. Fatigue Fract Engng Mater Struct 1998, 21:1-15.
35. Glodez S., Potocnik R., Flasker J., Zafosnik B. Numerical modelling of crack path in the lubricated rolling-sliding contact problems. Engng Frac Mech 2008, 75:880-891.
36. Susmel L., Taylor D. A novel formulation of the Theory of Critical Distances to estimate lifetime of notched components in the medium-cycle fatigue regime. Fatigue Fract Engng Mater Struct 2007, 30(7):567-581.
37. DuQuesnay D.L., Abdel-Raouf H., Topper T.H., Plumtree A. A modified fracture mechanics approach to metal fatigue. Fatigue Fract Engng Mater Struct 1992, 15:979-993.
38. Fujimoto Y., Hamada K., Shintaku E., Pirker G. Inherent damage zone model for strength evaluation of small fatigue cracks. Engng Fract Mech 2001, 68(4):455-473.
39. Bian J.C., Tokaji K., Ogawa T. Notch sensitivity of aluminum-lithium alloys in fatigue. Fatigue Fract Engng Mater Struct 1995, 18:119-127.
40. El Haddad MH, Miettinen BI. Prediction of initiation and early fatigue crack growth in materials. In: Backlund J et al., editors. Fatigue thresholds, vol. II; 1981. p. 827-44.
41. Zhao T., Zhang J., Jiang Y. A study of fatigue crack growth of 7075-T651 aluminum alloy. Int J Fatigue 2008, 30:1169-1180.
42. Lazzarin P., Tovo R., Meneghetti G. Fatigue crack initiation and propagation phases near notches in metals with low notch sensitivity. Int J Fatigue 1997, 19:647-657.
43. Susmel L., Taylor D. The theory of critical distances to estimate the static strength of notched samples of Al6082 loaded in combined tension and torsion. Part I: Material cracking behaviour. Engng Fract Mech 2010, 77:452-469.
44. Dal Re V, Zucchelli A. Fracture toughness KIvM measurement of non-brittle metallic materials by " Chevron Notched" specimens. In: Proceedings of XVII IGF conference, Bologna, 16-18 June 2004. ISBN 978-88-95940-16-8.
45. Susmel L., Taylor D. On the use of the Theory of Critical Distances to predict static failures in ductile metallic materials containing different geometrical features. Engng Fract Mech 2008, 75:4410-4421.
46. Strandberg M. Fracture at V-notches with contained plasticity. Engng Fract Mech 2002, 69:403-415.
47. El Minor H., Kifani A., Louah M., Azari Z., Pluvinage G. Fracture toughness of high strength steel-using the notch stress intensity factor and volumetric approach. Struct. Saf. 2003, 25:35-45.
48. Gómez F.J., Elices M. A fracture criterion for blunted V-notched samples. Int J Fract 2004, 127:239-264.
49. Livieri P. Use of J-integral to predict static failures in sharp V-notches and rounded U-notches. Engng Fract Mech 2008, 75:1779-1793.
50. Susmel L., Taylor D. The theory of critical distances to predict static strength of notched brittle components subjected to mixed-mode loading. Engng Frac Mech 2008, 75(3-4):534-550.
51. Zou Z., Fok S.L., Oyadiji S.O., Marsden B.J. Failure predictions for nuclear graphite using a continuum damage mechanics model. J Nucl Mater 2004, 324:116-124.
52. Yosibash Z., Bussiba A., Gilad I. Failure criteria for brittle elastic materials. Int J Fract 2004, 125:307-333.
53. Creager M., Paris P.C. Elastic field equations for blunt cracks with reference to stress corrosion cracking. Int J Fract Mech 1967, 3:247-252.
54. Glinka G., Newport A. Universal features of elastic notchtip stress fields. Int J Fatigue 1987, 9:143-150.
55. Srinivas M., Kamat S.V. Influence of temperature and notch root radius on the fracture toughness of a dispersion-strengthened aluminium alloy. Fatigue Fract Engng Mater Struct 2000, 23:181-183.
56. Tsuji K., Iwase K., Ando K. An investigation into the location of crack initiation sites in alumina, polycarbonate and mild steel. Fatigue Fract Engng Mater Struct 1999, 22:509-517.
57. Wilshaw T.R., Rau C.A., Tetelman A.S. A general model to predict the elastic-plastic stress distribution and fracture strength of notched bars in plane strain bending. Engng Fract Mech 1968, 1:191-211.
58. Ritchie R.O., Francis B., Server W.L. Evaluation of toughness in AISI 4340 steel austenitised at low and high temperature. Metall Trans 1976, 7A:831-838.
59. Bertolotti R.L. Fracture toughness of polycrystalline alumina. J Am Ceram Soc 1973, 56:107-117.
60. Takahashi I., Usami S., Nakakado H., Miyata H., Shida S. Effect of defect size and notch root radius on fracture strength of engineering ceramics. J Ceram Soc Jpn 1985, 93:186-194.
61. Usami S., Kimoto H., Takahashi I., Shida S. Strength of ceramic materials containing small flaws. Engng Fract Mech 1986, 23:745-761.
62. Newman Jr JC. In: AGARD CP-328; 1983. p. 6.1-6.26.
63. Newman J.C., Schneider J., Daniel A., McKnight D. Compression pre-cracking to generate near threshold fatigue-crack-growth rates in two aluminum alloys. Int J Fatigue 2005, 27:1432-1440.