Fractal aspects of ductile and cleavage fracture surfaces

Engineering Fracture Mechanics

Volumn 77, Issue 4, 2010, Pages 744-752

  Růžička, Š ^a   Hausild P ^a  

^a CZECH TECHNICAL UNIVERSITY IN PRAGUE   (Czech Republic)

Author keywords

Cleavage; Ductile fracture; Fractal dimension; Fractography; Three dimensional variational method

Indexed keywords

CHARPY IMPACT; CLEAVAGE; CLEAVAGE FRACTURE; DUCTILE-TO-BRITTLE TRANSITION TEMPERATURE; FRACTAL CHARACTERISTICS; FRACTURE MECHANISMS; FRACTURE SURFACES; LOCAL FRACTAL DIMENSION; LOW ALLOY STEELS; QUASISTATIC PROCESS; STEREOSCOPIC TECHNIQUES; VARIATIONAL METHODS;

BRITTLE FRACTURE; FRACTAL DIMENSION; FRACTOGRAPHY; FRACTURE MECHANICS; HYDROGEN EMBRITTLEMENT; ORDINARY DIFFERENTIAL EQUATIONS; PARTIAL DISCHARGES; STRAIN RATE; THREE DIMENSIONAL;

DUCTILE FRACTURE;

EID: 76049113188     PISSN: 00137944     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.engfracmech.2009.11.009     Document Type: Article

References (25)

1. Mandelbrot B.B., Passoja D.E., and Paullay A.J. Fractal character of fracture surfaces of metals. Nature 308 (1984) 721-722
2. Lei W., and Chen B. Fractal characterization of some fracture phenomena. Engng Fract Mech 50 2 (1995) 149-155
3. Dauskardt R.H., Haubensak F., and Ritchie R.O. On the interpretation of the fractal character of fracture surfaces. Acta Metall 38 2 (1990) 143-159
4. Reed B.W., Kumar M., Minich R.W., and Rudd R.E. Fracture roughness scaling and its correlation with grain boundary network structure. Acta Mater 56 13 (2008) 3278-3289
5. Mecholsky Jr. J.J. Estimating theoretical strength of brittle materials using fractal geometry. Mater Lett 60 20 (2006) 2485-2488
6. Dlouhý I., and Strnadel B. The effect of crack propagation mechanism on the fractal dimension of fracture surfaces in steels. Engng Fract Mech 75 3-4 (2008) 726-738
7. Charkaluk E., Bigerelle M., and Iost A. Fractals and fracture. Engng Fract Mech 61 1 (1998) 119-139
8. Schmittbuhl J., Vilotte J., and Roux S. Reliability of self-affine measurements. Phys Rev E 51 1 (1995) 131-147
9. Castelnovo C., Podesta A., Poseti P., and Milani P. Fractal analysis of symplex profiles: systematic study. Phys Rev E 65 2 (2002) 021601-021611
10. Růžička Š. Fractal aspects of fracture surfaces. Bachelor's degree project. KMAT FJFI ČVUT in Prague; 2009.
11. Falconer K.J. Fractal geometry: mathematical foundations and applications. 2nd ed. (2003), Wiley
12. Tanaka M., Tagami M., Kato R., Akiyama H., Oyama N., and Ono J. Quantitative evaluation of the impact fracture surfaces of SS400 steel by the three-dimensional geometrical analysis. ISIJ Int 47 1 (2007) 178-186
13. Venkatesh B., Chen D.L., and Bhole S.D. Three-dimensional fractal analysis of fracture surfaces in a titanium alloy for biomedical applications. Scripta Mater 59 4 (2008) 391-394
14. Dubuc B., Quiniou J.F., Roques-Carmes C., Tricot C., and Zucker S.W. Evaluating the fractal dimension of profiles. Phys Rev A 39 3 (1989) 1500-1512
15. Dubuc B., Zucker S., Tricot C., Quiniou J., and Sehni D. Evaluating the fractal dimension of surfaces. Proc R Soc Lon A - Math Phys Engng Sci 425 (1989) 113-127
16. Tricot C., Ferland P., and Baran G. Fractal analysis of worn surfaces. Wear 172 2 (1994) 127-133
17. Tricot C. Curves and fractal dimension (1995), Springer
18. Růžička Š. Fractal aspects of fracture surfaces. Research project. KMAT FJFI ČVUT in Prague; 2009.
19. Haušild P., Kytka M., Karlík M., and Pešek P. Influence of irradiation on the ductile fracture of a reactor pressure vessel steel. J Nucl Mater 341 2-3 (2005) 184-188
20. Válek S., Haušild P., and Kytka M. Mechanisms of fracture in neutron-irradiated 15Ch2MFA steel. Strength Mater 40 1 (2008) 102-105
21. Haušild P., Nedbal I., Berdin C., and Prioul C. The influence of ductile tearing on fracture energy in the ductile-to-brittle transition temperature range. Mater Sci Engng A 335 (2002) 164-174
22. Argon A.S., Im J., and Safoglu R. Cavity formation from inclusions in ductile fracture. Metall Trans A 6 (1975) 825-837
23. Goods S.H., and Brown L.M. The nucleation of cavities by plastic deformation. Acta Metall 27 1 (1979) 1-15
24. Horovistiz A., and Hein L. Fractal analysis along stretch zone for an aluminum alloy. Mater Lett 59 (2005) 790-794
25. Haušild P., and Nedbal I. Influence of temperature and strain rate on ductile fracture of A508 reactor pressure vessel steel. Kovove Mater 41 (2003) 270-278