Wei Yiqiang, Li Qingshi, Cai Zhongmin. The Condition for Applying Slit island Method[J]. Applied Mathematics and Mechanics, 1997, 18(5): 433-439.
Citation: Wei Yiqiang, Li Qingshi, Cai Zhongmin. The Condition for Applying Slit island Method[J]. Applied Mathematics and Mechanics, 1997, 18(5): 433-439.

The Condition for Applying Slit island Method

  • Received Date: 1995-05-01
  • Rev Recd Date: 1996-10-15
  • Publish Date: 1997-05-15
  • In this paper.in view of the discussion of the Hausdorff and Box fractaldimensions and measures which are frequently applied,the concept of the girth to areanormal ratio is introduced for the first time and the correct mathematical descriptionof SIM together with its proof,the sufficient condition for applying SIM and theimprovement version of SIM.
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  • [1]
    B.B.Mandelbrot,et al.,Fractal character of fracture surfaces of metals,Nature,308(1984),721-722.
    [2]
    C.W.Long and Z.Q.Mu,Fractal dimension measured with perimeter-area relation and toughness of materials,Plysical Reaiem B.,38,16(1988),11781-11784.
    [3]
    C.W.Long,et al.,Fractal dimension of the fractured surfaced of materials,Physical Review.,38(1989),242-245.
    [4]
    谢和平,大理岩微观断裂的分形模型研究,科学通报,5(1989),365-368.
    [5]
    董连科、王晓伟,分形维数与临界扩展力,金属学报,26,2(1990).
    [6]
    董连科等,分形用于材料断裂韧性研究的不定性问题,高压物理学报,4,2(1990),118-121.
    [7]
    穆在勒、龙期威,由面积一周长关系测量的分形维数与材料韧性的关系,材料科学进展,3,2(1989),110-114.
    [8]
    何宗彦,材料微结构数学描述的特征单元理论及其在细观力学分析中的应用,博士学位论文,重清大学(1992).
    [9]
    B.B.Mandelbrot,The Fractal Geometry of Nature,New York,Freeman(1982).
    [10]
    J.K.Falconer,Frcrctal Geonretry Matlrenratical Foundations and Applications,John Wiley & Sons Ltd.(1990).
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