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

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.