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FRACTAL DIMENSIONALITY AND CRITICAL EXTENSION FORCE

DONG Lianke WANG Xiaowei Institute of Metal Research , International Centre for Material Physics , Academia Sinica , Shenyang , China Associate Professor , Institute of Metal Research , Academia Sinica , Shenyang 110015 , China

金属学报(英文版)

Using gauge field theory of defects,the effective critical extension force in elastic-plastic fracture mechanics was given.The rationality of logarithm of effective extension force as a linear function of the fractal dimensionality of the fracture surface was analyzed in theory. The explanation in approach to studying material toughness using fractal has been clarified.

关键词: defect gauge field , null , null

分形维数与临界扩展力

董连科 , 王晓伟

金属学报

本文利用缺陷规范场理论给出有效临界扩展力,并且从理论上分析了有效临界扩展力的对数值是断口分形维数的线性函数的合理性,澄清了分形用于断裂韧性研究中存在的不定性问题。

关键词: 缺陷规范场 , fractal dimensionality , critical extension force

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