几种断裂问题的分形描述中几个问题的商榷

A Discussion on Some Problem in Fractal Descriptions of Some Fracture Problems

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。
- 分形断裂 /
- 韧性临界裂纹 /
- 扩展力裂纹 /
- 分叉增韧
Abstract: 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.
- fractal /
- fracture toughness /
- critical crack propagation force /
- crack branching induced increasing toughness