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应用科学学报 ›› 1996, Vol. 14 ›› Issue (2): 149-157.

• 论文 • 上一篇    下一篇

分形图形的面积效应与材料断口分维研究

何宗彦   

  1. 清华大学
  • 收稿日期:1994-09-05 出版日期:1996-06-30 发布日期:1996-06-30
  • 作者简介:何宗彦:博士后,清华大学工程力学系,北京 100084

THE AREA EFFECT OF FRACTAL FIGURE AND THE RESEARCH ON THE FRACTAL DIMENSION OF FRACTURES

HE ZONGYAN   

  1. Tsinghua University
  • Received:1994-09-05 Online:1996-06-30 Published:1996-06-30

PDF

66

被引次数

1

摘要： 提出了分形图形面积效应的概念,由此导出不同类型图形边界曲线的分维表达式,指出测量材料韧性的别计Slit island方法中可能出现虚假分维的真实原因并给出消除面积效应的分维计算方法.

关键词: 分形, 分维, 韧性

Abstract: The authors advanced a new conception the area effect of fractal figures and deduced formulae for the fractal dimensions of three kinds of figures. Because of this effect, some false dimensions may be obtained in the slit island method for measuring material's toughness. So a new method without area effect is proposed.

Key words: fractal, fractal dimension, toughness