The dependence of the fractal dimension of fractured surface on material in three dimensions

✍ Scribed by S.G. Wang

• Publisher: Elsevier Science
• Year: 2004
• Tongue: English
• Weight: 354 KB
• Volume: 348
• Category: Article
• ISSN: 0921-4526
• DOI: 10.1016/j.physb.2003.11.089

✦ Synopsis

In this paper, quasi-brittle fracture along ð1 0 0Þ plane in three dimensions was obtained with successive over relaxation numerical simulation and elastic network model (B6:14 Â 10 6 atoms) for BCC metals in fracture Mode I. The material-dependent parameter, G 0 =G; was introduced in this simulation. G and G 0 are the parameters related to the elastic moduli of the nearest and second neighbour bonds, respectively. The fractal dimensions of quasi-brittle fracture surfaces were investigated for different materials with the same quenched disorder in three dimensions. The fractal dimension of quasi-brittle fracture surface varies with material parameter, G 0 =G: However, it seems that the fractal dimensions of quasi-brittle surfaces cannot be a universal value. There may be so-called different universal fractal dimensions for different fracture surfaces in some cases.