Three-dimensional fractal analysis of fracture surfaces in titanium–iron particulate reinforced hydroxyapatite composites: relationship between fracture toughness and fractal dimension

作者: Q. Chang , D. L. Chen , H. Q. Ru , X. Y. Yue , L. Yu

DOI: 10.1007/S10853-011-5576-7

关键词:

摘要: Fractal dimension has been considered as a measure of fracture surface roughness materials. Three-dimensional (3D) analysis is anticipated to provide better evaluation toughness and fractal dimension. The objective this study was quantify the surfaces identify potential relationship between in new type core–shell titanium–iron particulate reinforced hydroxyapatite matrix composites using SEM stereoscopy coupled with 3D analysis. obtained results showed that both increased increasing amount Ti–Fe reinforcing particles. observed be direct roughness. linearly square root dimensional increment (i.e., followed Mecholsky–Mackin equation well) due presence particles along effect porosity brittle suggested proper tool for quantifying linking microstructural parameter toughness.

参考文章(68)
Z CHEN, J. J MECHOLSKY Jr, T JOSEPH, C. L BEATTY, The fractal geometry of Si3N4 wear and fracture surfaces Journal of Materials Science. ,vol. 32, pp. 6317- 6323 ,(1997) , 10.1023/A:1018657731971
A. Della Bona, T. J. Hill, J. J. Mecholsky, The effect of contour angle on fractal dimension measurements for brittle materials Journal of Materials Science. ,vol. 36, pp. 2645- 2650 ,(2001) , 10.1023/A:1017948409986
J. Wasén, E. Heier, T. Hansson, Fractal analysis of fracture surfaces in ceramic materials Scripta Materialia. ,vol. 38, pp. 953- 957 ,(1998) , 10.1016/S1359-6462(97)00566-6
Benoit B. Mandelbrot, Fractal analysis and synthesis of fracture surface roughness and related forms of complexity and disorder International Journal of Fracture. ,vol. 138, pp. 13- 17 ,(2006) , 10.1007/978-1-4020-5423-5_3
Panida Bulpakdi, Burak Taskonak, Jiahau Yan, John J. Mecholsky, Failure analysis of clinically failed all-ceramic fixed partial dentures using fractal geometry Dental Materials. ,vol. 25, pp. 634- 640 ,(2009) , 10.1016/J.DENTAL.2008.11.007
S Blacher, V Maquet, F Schils, D Martin, J Schoenen, G Moonen, R Jérôme, J.-P Pirard, Image analysis of the axonal ingrowth into poly(D,L-lactide) porous scaffolds in relation to the 3-D porous structure Biomaterials. ,vol. 24, pp. 1033- 1040 ,(2003) , 10.1016/S0142-9612(02)00423-4
D. W. SCHAEFER, Polymers, Fractals, and Ceramic Materials Science. ,vol. 243, pp. 1023- 1027 ,(1989) , 10.1126/SCIENCE.243.4894.1023
Laura N. Borodinsky, Mónica L. Fiszman, A Single-Cell Model to Study Changes in Neuronal Fractal Dimension Methods. ,vol. 24, pp. 341- 345 ,(2001) , 10.1006/METH.2001.1204
Š. Růžička, P. Haušild, Fractal aspects of ductile and cleavage fracture surfaces Engineering Fracture Mechanics. ,vol. 77, pp. 744- 752 ,(2010) , 10.1016/J.ENGFRACMECH.2009.11.009
G.J. Cantor, C.A. Brown, Scale-based correlations of relative areas with fracture of chocolate Wear. ,vol. 266, pp. 609- 612 ,(2009) , 10.1016/J.WEAR.2008.04.069