-
摘要: 本文基于物理、断裂力学与分形三者必须自洽的原则，提出了消除码尺的量纲与量值选择的不确定性的几何与物理准则，克服了分形用于断裂韧性研究中的不确定性困难。本文的某些观点用于分形在其它学科中的应用，也颇有益处。Abstract: In this paper, we have introduced the geometrical criterion and physical criterion both of which have solved the uncertainties of fractal dimension and the value of yardstick based on the principle of consistency among physics, fractal and fracture mechanics. We have solved the uncertain problem in application of fractal to the fracture toughness. These viewpoints in this paper will have special meaning for applications of fractal to other fields.
-
Key words:
- fractal /
- critical extension
-
Mandelbrot B B, Passoja D E, Paullay A J. Nature, 1984, 308: 721. Pande C S, Richards L E, Louat N, et al. Acta Metall, 1987, 35(7): 1633. Mu Z Q, Lung C W. J Phys D, 1988, 21: 848. 谢和平, 陈至达. 分形几何在断口分析中的应用. MMM-Ⅱ会议文集. 上海, 1987. 穆在勤, 龙期威. 材料科学进展, 1989, 3(2): 110. 谢和平. 科学通报, 1989, 34(5): 365. 张军, 林汉同, 熊国庆, 等. 分形理论及应用. 程光钺主编. 四川大学出版社, 1989: 43. Lung C W, Mu Z Q. Phys Rev B, 1988, 38(16): 11781. 董连科, 王晓伟. 高压物理学报, 1989, 3(4): 302. 董连科, 王晓伟. 金属学报, 待发表. Cottrell A H. Trans AIME, 1958, 212: 192. Dong L K, Zhang H Y, Lung C W. Int J Solid Structure, 1989, 25(7): 707. -
点击查看大图
计量
- 文章访问数: 7848
- HTML全文浏览量: 400
- PDF下载量: 644
下载:
