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断裂表面自相似与自仿射复杂分形结构的研究

田恩科,  龙期威

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文章导航 > 高压物理学报  > 2001 >  15(3): 178-185 .
田恩科, 龙期威. 断裂表面自相似与自仿射复杂分形结构的研究[J]. 高压物理学报, 2001, 15(3): 178-185 . doi: 10.11858/gywlxb.2001.03.003
引用本文: 田恩科, 龙期威. 断裂表面自相似与自仿射复杂分形结构的研究[J]. 高压物理学报, 2001, 15(3): 178-185 . doi: 10.11858/gywlxb.2001.03.003
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TIAN En-Ke, LONG Qi-Wei. Investigations of Complex Fractal Structures with Self-Similarity and Self-Affinity on Fractured Surfaces[J]. Chinese Journal of High Pressure Physics, 2001, 15(3): 178-185 . doi: 10.11858/gywlxb.2001.03.003
Citation: TIAN En-Ke, LONG Qi-Wei. Investigations of Complex Fractal Structures with Self-Similarity and Self-Affinity on Fractured Surfaces[J]. Chinese Journal of High Pressure Physics, 2001, 15(3): 178-185 . doi: 10.11858/gywlxb.2001.03.003
shu

断裂表面自相似与自仿射复杂分形结构的研究

doi: 10.11858/gywlxb.2001.03.003

  • 中国科学院国际材料物理中心，中国科学院金属研究所，辽宁沈阳 110015

详细信息
    通讯作者:

    田恩科

Investigations of Complex Fractal Structures with Self-Similarity and Self-Affinity on Fractured Surfaces

  • International Centre for Materials Physics, Academia Sinica, Institute of Metal Research, Shenyang 110015, China

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    Corresponding author: TIAN En-Ke

    摘要
  • 摘要: 按照分形理论研究了具有自相似和自仿射分形结构的复杂表面，并研究了其在Ⅰ型+Ⅱ型和Ⅰ型+Ⅲ型混合载荷下形成的断裂表面的应用。结果指出：分维D与粗糙度指数H之间的关系（D+H=2或DH=1）只是粗略的近似。用分维D或粗糙度指数H测量断裂表面，在双对数图上得到的是实验曲线而不是直线并不说明没有分形结构，很可能是自相似和自仿射结构的混合。

     

    Abstract: An extensive study of cracked surfaces under complex loading which showed self-similar and self-affine fractal properties was performed. Fractal analysis of the fractured surfaces with fractal dimension D or roughness index H was also discussed. The results indicated that the relations between D and H (D+H=2 or DH=1) were only a rough estimation. Experimental curves that are not straight line in the log-log plot, if you measure the fractal dimension or roughness index of cracked surfaces, could not mean no fractal structure. It might be fractals with mixed structure of self-similarity and self-affinity.

     

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出版历程
  • 收稿日期:  2000-07-07
  • 修回日期:  2001-03-05
  • 发布日期:  2001-09-05

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