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固体材料的断裂力学行为中的分维特性研究之进展
引用本文:徐利华,丁子上.固体材料的断裂力学行为中的分维特性研究之进展[J].硅酸盐学报,1997,25(4):458-465.
作者姓名:徐利华  丁子上
作者单位:[1]清华大学材料科学与工程系先进陶瓷与精细工艺国家重点 [2]浙江大学材料科学与工程系
摘    要:简要评述了分形和何学的理论基础及其应用的研究进展,报道固体材料力学行为中分形维数的测定方法及其原理,对具有单相结构,复相结构,多层次微观复合结构以及仿生结构的几类先进陶瓷断裂分维机制作了详细讨论,提出采用仿生结构和多相微观复合结构设计是获取陶瓷韧性的有效途径,并对分形学在今后研究工作的应用提出了建议和期望。

关 键 词:分形理论  陶瓷  结构设计  固体材料  断裂力学

DEVELOPMENT OF STUDY ON FRACTAL CHARACTERISTICS IN MECHANICAL BEHAVIOR OF SOLID MATERIALS
Xu Lihua,Huang Yong,Guo Hai.DEVELOPMENT OF STUDY ON FRACTAL CHARACTERISTICS IN MECHANICAL BEHAVIOR OF SOLID MATERIALS[J].Journal of The Chinese Ceramic Society,1997,25(4):458-465.
Authors:Xu Lihua  Huang Yong  Guo Hai
Abstract:Development of study on fractal theory and its application are briefly reviewed, and the measurement of fractal dimensions and its principle in mechanical behavior of solid materials are also reported in the paper. Further discussion on fractal micromechanisms of several typical advanced ceramics, involving monolithic structure, multiphase structure, multi composition hybrid compounding structure and bionics structure is presented in detail. The effective approach to achieve high toughness with the bionics structural and multi composition hybrid structural design is given together with a lot of suggestions and prospects for the application of fractals to the research of solid materials.
Keywords:fractal theory  mechanical behavior  advanced ceramics  multi  composition hybrid compounding  bionic structural design
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