From NASGRO to fractals: Representing crack growth in metals
Source abstract
Abstract
Abstract This paper presents the results of an extensive experimental analysis of the fractal properties of fatigue crack rough surfaces. The analysis of the power-spectral density functions of profilometric traces shows a predominance of the box fractal dimension D = 1.2. This result leads to a particularization of the fatigue crack growth equation based on fractality proposed by the last two authors which is very close to the generalized Frost–Dugdale equation proposed by the first three authors. The two approaches, albeit based on different initial modelling assumptions, are both very effective in predicting the crack growth rate of short cracks.
Source: openaire · Quality: candidate unverified · Source record ↗
Research context
OpenAlex topics: Fatigue and fracture mechanics · Non-Destructive Testing Techniques · Numerical methods in engineering
SciVX discovery tags are terminology-based. OpenAlex topics are source-provided classifications.
References (53)
Show source-provided references
1. Incomplete self-similarity of fatigue in the linear range of fatigue crack growth10.1111/j.1460-2695.1980.tb01359.x ↗
2. Incomplete self-similarity and fatigue-crack growth10.1007/s10704-005-2266-y ↗
3. Self-similarity and fractals in the Paris range of fatigue crack growth10.1016/j.mechmat.2004.04.003 ↗
4. One, no one, and one hundred thousand crack propagation laws: a generalized Barenblatt and Botvina dimensional analysis approach to fatigue crack growth10.1016/j.jmps.2008.09.002 ↗
5. A unified interpretation of the power laws in fatigue and the analytical correlations between cyclic properties of engineering materials10.1016/j.ijfatigue.2009.04.014 ↗
6. Dimensional analysis and fractal modeling of fatigue crack growth10.1520/JAI104105 ↗
7. A dimensional analysis interpretation to grain size and loading frequency dependencies of the Paris and Wöhler curves10.1016/j.ijfatigue.2010.10.001 ↗
8. Fractal and multifractal approaches for the analysis of crack-size dependent scaling laws in fatigue10.1016/j.chaos.2007.08.068 ↗
9. Self-similarity and crack growth instability in the correlation between the Paris’ constants10.1016/j.engfracmech.2006.12.007 ↗
10. A unified fractal approach for the interpretation of the anomalous scaling laws in fatigue and comparison with existing models10.1007/s10704-009-9425-5 ↗
11. The effect of crack size and specimen size on the relation between the Paris and Wöhler curves10.1007/s11012-014-9908-y ↗
12. Size effect in S–N curves: a fractal approach to finite-life fatigue strength10.1016/j.ijfatigue.2008.10.001 ↗
13. Crack growth from small flaws10.1016/j.ijfatigue.2007.01.031 ↗
14. Similitude: cracking in steels10.1016/j.tafmec.2007.05.007 ↗
15. The Generalised Frost–Dugdale approach to modelling fatigue crack growth10.1016/j.engfailanal.2007.11.007 ↗
16. Experimental studies into short crack growth10.1016/j.engfailanal.2011.03.012 ↗
17. Observations on fatigue crack growth in a range of materials10.1016/j.matdes.2011.03.075 ↗
18. The propagation of fatigue cracks in test specimens10.1016/0022-5096(58)90018-8 ↗
19. Fatigue crack growth and damage tolerance, invited review paper10.1111/ffe.12155 ↗
20. Forman RG, Mettu SR. Behavior of surface and corner cracks subjected to tensile and bending loads in Ti-6Al-4V alloy. In: Ernst HA, Saxena A, McDowell DL editors. Fracture mechanics 22nd symposium, vol. 1, ASTM STP 1131. American Society for Testing and Materials, Philadelphia; 1992.
21. A crack-closure model for predicting fatigue crack growth under aircraft spectrum loading
22. An analysis of the growth of short fatigue cracks10.1016/0013-7944(91)90151-P ↗
23. Fatigue crack growth in a diverse range of materials10.1016/j.ijfatigue.2012.01.004 ↗
24. A convenient way to represent fatigue crack growth in structural adhesives10.1111/ffe.12241 ↗
25. Calculating crack growth from small discontinuities in 7050–T7451 under combat aircraft spectra
26. Saether E, Ta’asan S. A hierarchical approach to fracture mechanics, NASA/TM-2004-213499; 2004.
27. Fractal nature of material microstructure and size effects on apparent mechanical properties10.1016/0167-6636(94)00008-5 ↗
28. Fractal fracture mechanics – a review10.1016/0013-7944(94)00323-A ↗
29. The mechanics of self-similar and self-affine fractal cracks10.1023/A:1014878112730 ↗
30. A rational analytic theory of fatigue
31. Critical analysis of crack growth propagation laws10.1115/1.3656900 ↗
32. Scaling properties of cracks
33. Fractal character of fracture surfaces of metals10.1038/308721a0 ↗
34. Fatigue tests on notched mild steel plates with measurements of fatigue cracks10.1016/0022-5096(57)90004-2 ↗
35. Frost · 1974
36. An experimental evaluation of fatigue crack growth10.1016/j.engfailanal.2004.04.002 ↗
37. Evaluation of spectrum fatigue crack growth using variable amplitude data10.1016/j.ijfatigue.2007.02.025 ↗
38. Experimental and numerical study of the fatigue behaviour of composite patch reinforced cracked steel plates10.1016/j.ijfatigue.2009.04.006 ↗
39. Main B SQNLDR. Structural analysis methodology – F/A-18, issue 2 AI2, RAAF, directorate general technical airworthiness; December 2007.
40. Duthie J, Matricciani E. DSTO P-3 Repair Assessment Methodology (RAM) coupon testing to validate the cubic rule, DSTO-CR-2010-0367; July 2011.
41. Practical application of structural repair fatigue life determination on the AP-3C orion platform10.4028/www.scientific.net/AMR.891-892.1065 ↗
42. American Association of State Highway and Transportation Officials. AASHTO LRFD Bridge Design Specifications. SI units, 1st ed., Washington, D.C.; 1994.
43. The effect of mean stress on fatigue crack propagation in plates under extension and bending10.1115/1.3609733 ↗
44. Effect of stress cycle asymmetry on fatigue crack growth10.1016/0025-5416(72)90038-9 ↗
45. Effect of stress ratio on near-threshold propagation of delamination fatigue cracks in unidirectional CFRP10.1016/0266-3538(87)90076-5 ↗
46. Fatigue of Yttria-Stabilized Zirconia. I: Fatigue damage, fracture damage, fracture origins, and lifetime prediction10.1111/j.1151-2916.1991.tb04088.x ↗
47. The effect of stress ratio during crack propagation and fatigue for 2024-T3 and 7075-T6 aluminium
48. Parameter representation of fatigue crack growth10.1016/0013-7944(79)90011-0 ↗
49. Cracking in D6ac steel10.1016/j.tafmec.2009.12.005 ↗
50. Scaling laws and renormalization groups for strength and toughness of disordered materials10.1016/0020-7683(94)90107-4 ↗
51. Veeco. About the vision advanced analysis package-vision 3.0 for NT-1100. Technical report; 2010.
52. Wyko. Manual of Wyko Surface Profilers. Technical report; 2010.
53. On the resolution dependence of micromechanical contact models10.1016/j.wear.2006.03.044 ↗