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Application of fractal theory to size effect of disordered materials

Application of fractal theory to size effect of disordered materials
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摘要 For disordered materials it is impossible to measure constant material properties using the Euclidian geometrical dimension of the test specimens. Based on the theory of fractal geometry, the fractal dimension of the damaged microstructure is applied to measure the strength and fracture toughness of imitation marbles, which turn out to be scale invariant material constants. In this paper, the experimental data are treated and interpreted by the theory of fractal geometry. Reasonable results are obtained and the size effects on strength and fracture energy are observed. For disordered materials it is impossible to measure constant material properties using the Euclidian geometrical dimension of the test specimens. Based on the theory of fractal geometry, the fractal dimension of the damaged microstructure is applied to measure the strength and fracture toughness of imitation marbles, which turn out to be scale invariant material constants. In this paper, the experimental data are treated and interpreted by the theory of fractal geometry. Reasonable results are obtained and the size effects on strength and fracture energy are observed.
作者 孟庆元 张彤
出处 《Journal of Harbin Institute of Technology(New Series)》 EI CAS 2001年第1期23-26,共4页 哈尔滨工业大学学报(英文版)
基金 NaturalScienceFoundationofHeilongjiangProvince
关键词 fractal geometry size effect fracture energy fractal geometry size effect fracture energy
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参考文献8

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