Perimeter-area relation and fractal dimension of fracture surfaces

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	Perimeter-area relation and fractal dimension of fracture surfaces
	D. W. Shi; J. Jiang; E. K. Tian; C. W. Lung
	1997
发表期刊	Journal of Materials Science & Technology
ISSN	1005-0302
卷号	13 期号:5 页码:416-420
摘要	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.
部门归属	shi, dw (reprint author), acad sinica,inst met res,int ctr mat phys,shenyang 110015,peoples r china
URL	查看原文
文献类型	期刊论文
条目标识符	http://ir.imr.ac.cn/handle/321006/38079
专题	中国科学院金属研究所
推荐引用方式 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.