| Perimeter-area relation and fractal dimension of fracture surfaces | |
| D. W. Shi; J. Jiang; E. K. Tian; C. W. Lung | |
| 1997 | |
| Source Publication | Journal of Materials Science & Technology
 |
| ISSN | 1005-0302 |
| Volume | 13Issue:5Pages:416-420 |
| Abstract | We have theoretically analysed the perimeter-area relation and simulated its application to measuring the fractal dimension of fracture surfaces. It is proved that the fractal dimension D obtained by slit island method (SIM) is related to the dependence of measured area A(delta) of the slit island on yardstick delta. So in some cases, the dimension D obtained by SIM is dependent on yardstick and in other cases independent on yardstick delta. But in all cases, when delta-->0 the dimension D obtained by SIM approaches the real fractal dimension (similar dimension) of 'coastline' of the island. We analysed some experimental data and found some new and interesting characteristics of crack propagation in steels. |
| description.department | shi, dw (reprint author), acad sinica,inst met res,int ctr mat phys,shenyang 110015,peoples r china |
| URL | 查看原文 |
| Document Type | 期刊论文 |
| Identifier | http://ir.imr.ac.cn/handle/321006/38079 |
| Collection | 中国科学院金属研究所 |
| Recommended Citation GB/T 7714 | D. W. Shi,J. Jiang,E. K. Tian,et al. Perimeter-area relation and fractal dimension of fracture surfaces[J]. Journal of Materials Science & Technology,1997,13(5):416-420. |
| APA | D. W. Shi,J. Jiang,E. K. Tian,&C. W. Lung.(1997).Perimeter-area relation and fractal dimension of fracture surfaces.Journal of Materials Science & Technology,13(5),416-420. |
| MLA | D. W. Shi,et al."Perimeter-area relation and fractal dimension of fracture surfaces".Journal of Materials Science & Technology 13.5(1997):416-420. |
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