摘要
要评述了分形几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高韧性的有效途径。并对分形学在今后研究工作的应用提出了建议和期望。
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.
出处
《硅酸盐学报》
EI
CAS
CSCD
北大核心
1997年第4期458-465,共8页
Journal of The Chinese Ceramic Society
关键词
分形理论
陶瓷
结构设计
固体材料
断裂力学
fractal theory, mechanical behavior, advanced ceramics, multi composition hybrid compounding, bionic structural design
