摘要
分形几何能够定量化地描述自然界中各类极不规则的复杂现象，在各个科学领域都得到了广泛的应用。但是人们发现许多实验产生自相矛盾的结果，于是从分形域、码尺相关性、自仿射分形、多重分形等角度进行了探讨。但是作者发现许矛盾的结果来源于人们对分形及物理力学定义的简单甚至错误理解，为此就一些问题进行了较详细的阐述。
Fractal geometry can provide quantitative methods to describe numerous irregular and complicated phenomena in nature,and has widely been used in many scientific fields.However people find that many similar experiments produce contradictory results,and thus make exploration from views of fractal range,size correlation,self affine farctal and multifractal concepts,However,we find that many contradictory results are originated from poor understanding of fractal concepts and physical mechanical definitions,some of them are discussed in details in the paper.
出处
《高压物理学报》
CAS
CSCD
北大核心
1996年第2期141-144,共4页
Chinese Journal of High Pressure Physics
基金
国家杰出青年科学基金
国家教委跨世纪优秀人才基金
煤炭优秀青年教师基金
关键词
分形
断裂韧性
临界裂纹
扩展力
裂纹分叉
fractal,fracture toughness,critical crack propagation force,crack branching induced increasing toughness.
