Self-similarity and crack growth instability in the correlation between the Paris' constants

Engineering Fracture Mechanics

Volumn 74, Issue 7, 2007, Pages 1041-1053

  Carpinteri, Alberto ^a   Paggi, Marco ^a  

^a POLITECNICO DI TORINO   (Italy)

Author keywords

Crack growth instability; Dimensional analysis; Fatigue crack growth; Incomplete self similarity; Loading ratio; Paris' constants; Paris' law

Indexed keywords

CORRELATION METHODS; CRACK PROPAGATION; FATIGUE OF MATERIALS;

CRACK GROWTH INSTABILITY; FATIGUE CRACK GROWTH; GRIFFITH-IRWIN INSTABILITY; INCOMPLETE SELF-SIMILARITY; LOADING RATIO; PARIS' CONSTANTS; PARIS' LAW;

FRACTURE MECHANICS;

CORRELATION METHODS; CRACK PROPAGATION; FATIGUE OF MATERIALS; FRACTURE MECHANICS;

EID: 33847063459     PISSN: 00137944     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.engfracmech.2006.12.007     Document Type: Article

References (45)

1. Ritchie R.O. Influence of microstructure on near-threshold fatigue-crack propagation in ultra-high strength steel. Met Sci 11 (1977) 368-381
2. Taylor D. Fatigue thresholds (1981), Butterworth, London
3. Kitagawa H. Introduction to fracture mechanics of fatigue. In: Carpinteri An. (Ed). Handbook of fatigue crack propagation in metallic structures vol. I (1994), Elsevier Science B.V. 47-105
4. Forman R.G., Kearney V.E., and Engle R.M. Numerical analysis of crack propagation in cyclic-loaded structures. ASME J Basic Engng 89 (1967) 459-464
5. Paris P.C., Gomez M.P., and Anderson W.P. A rational analytic theory of fatigue. Trend Engng 13 (1961) 9-14
6. Paris P.C., and Erdogan F. A critical analysis of crack propagation laws. ASME J Basic Engng 85D (1963) 528-534
7. Radhakrishnan V.M. Parameter representation of fatigue crack growth. Engng Fract Mech 11 (1979) 359-372
8. Barenblatt G.I., and Botvina L.R. Incomplete self-similarity of fatigue in the linear range of fatigue crack growth. Fatigue Fract Engng Mater Struct 3 (1980) 193-202
9. Barenblatt G.I. Scaling, self-similarity and intermediate asymptotics (1996), Cambridge University Press, Cambridge
10. Barenblatt G.I. Scaling phenomena in fatigue and fracture. Int J Fract 138 (2006) 19-35
11. Spagnoli A. Self-similarity and fractals in the Paris range of fatigue crack growth. Mech Mater 37 (2005) 519-529
12. Cortie M.B. The irrepressible relationship between the Paris law parameters. Engng Fract Mech 30 (1988) 49-58
13. Bergner F., and Zouhar G. A new approach to the correlation between the coefficient and the exponent in the power law equation of fatigue crack growth. Int J Fatigue 22 (2000) 229-239
14. Radhakrishnan V.M. Quantifying the parameters in fatigue crack propagation. Engng Fract Mech 13 (1980) 129-141
15. Tóth L., and Krasowsky A.Ja. Fracture as the result of self-organised damage process. J Mater Process Technol 53 (1995) 441-451
16. Lee J.B., and Lee D.N. Correlation of two constants in the Paris equation for fatigue crack propagation rate in region II. Proceedings of the 6th international conference on fracture ICF6, New Delhi, India (1984), Pergamon Press p. 1727-33
17. Buckingham E. Model experiments and the form of empirical equations. ASME Trans 37 (1915) 263-296
18. Carpinteri A. Notch sensitivity in fracture testing of aggregative materials. Engng Fract Mech 16 (1982) 467-481
19. Carpinteri A. Plastic flow collapse vs. separation collapse in elastic-plastic strain-hardening structures. RILEM Mater Struct 16 (1983) 85-96
20. Carpinteri A. Size effects on strength, toughness and ductility. J Engng Mech 115 (1989) 1375-1392
21. Carpinteri A. Cusp catastrophe interpretation of fracture instability. J Mech Phys Solids 37 (1989) 567-582
22. Carpinteri A. Scaling laws and renormalization groups for strength and toughness of disordered materials. Int J Solids Struct 31 (1994) 291-302
23. Carpinteri A. Strength and toughness in disordered materials: complete and incomplete similarity. In: Size-scale effects in the failure mechanisms of materials and structures, proceedings of the international union of theoretical and applied mechanics (IUTAM), Turin, Italy, London. E & FN Spon; 1994. p. 3-26.
24. Ritchie R.O. Incomplete self-similarity and fatigue-crack growth. Int J Fract 132 (2005) 197-203
25. Carpinteri A. Static and energetic fracture parameters for rocks and concretes. Mater Struct 14 (1981) 151-162
26. in. In: Milne I., Ritchie R.O., and Karihaloo B. (Eds). Comprehensive structural integrity: fracture of materials from nano to macro. Cyclic loading and fatigue vol. 4 (2003), Elsevier, Amsterdam
27. Farahmand B. Analytical method of generating da/dN curves for aerospace alloys. In: Gdoutos EE, editor. Fracture of nano and engineering materials and structures (Proceedings of the 16th European conference of fracture, Alexandroupolis, Greece, 2006), Paper No. 140 on CD-ROM, Dordrecht, 2006. Springer.
28. M. Paggi. Interface mechanical problems in heterogeneous materials. PhD thesis, Politecnico di Torino, 2005.
29. Snodgrass J.M., Pantelidis D., Jenkins M.L., Bravman J.C., and Dauskardt R.H. Subcritical debonding of polymer/silica interfaces under monotonic and cyclic loading. Acta Mater 50 (2002) 2395-2411
30. Niccolls E.H. A correlation for fatigue crack growth rate. Scripta Metall 10 (1976) 295-298
31. Forman RG, Shivakumar V, Newman JC. Fatigue crack growth computer program NASA/FLAGRO. Technical Report JSC-22267A, NASA, January; 1993.
32. ASM International. Fatigue and fracture resistance of ferrous alloys in ASM Handbook, vol.19. Ohio, Materials Park; 1987.
33. In: Boyer H.E., and Gall T.L. (Eds). Metals handbook (1985), American Society for Metals, Materials Park, Ohio
34. Metals handbook, vol. 2 - Properties and selection: nonferrous alloys and special - purpose materials. 10th ed. ASM International; 1990.
35. Ho CY, editor. Structural alloys handbook. CINDAS/Purdue University, West Lafayette, IN; 1996.
36. Brown EN, White SR, Sottos NR. Fatigue crack propagation in microcapsule toughened epoxy; submitted for publication.
37. Brown E.N., White S.R., and Sottos N.R. Retardation and repair of fatigue cracks in a microcapsule toughened epoxy composite-part I: manual infiltration. Compos Sci Technol 65 (2005) 2466-2473
38. Roberts R., and Erdogan F. The effect of mean stress on fatigue crack propagation in plates under extension and bending. ASME J Basic Engng 89 (1967) 885-892
39. Klesnil M., and Lukas P. Effect of stress cycle asymmetry on fatigue crack growth. Mater Sci Engng 9 (1972) 231-240
40. Hojo M., Tanaka K., Gustafson C.G., and Hayashi R. Effect of stress ratio on near-threshold propagation of delamination fatigue cracks in unidirectional CFRP. Comput Sci Technol 29 (1987) 273-292
41. Liu S.-Y., and Chen I.-W. Fatigue of yttria-stabilized zirconia. I: fatigue damage, fracture damage, fracture origins, and lifetime prediction. J Am Ceram Soc 74 (1991) 1197-1205
42. Walke K. The effect of stress ratio during crack propagation and fatigue for 2024-T3 and 7075-T6 Aluminium. In: Effects of environments and complex and complex load history on fatigue life. ASTM STP 462. Philadelphia, PA; 1970. p. 1-14.
43. Kujawski D. A fatigue crack driving force parameter with load ratio effects. Int J Fatigue 23 (2001) S239-S246
44. Pugno N., Ciavarella M., Cornetti P., and Carpinteri A. A generalized Paris' law for fatigue crack growth. J Mech Phys Solids 54 (2006) 1333-1349
45. Pugno N., Cornetti P., and Carpinteri A. New unified laws in fatigue: from the Wöhler to the Paris' regime. Engng Fract Mech 74 (2007) 595-601