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断裂表面自相似与自仿射复杂分形结构的研究

DOI: 10.11858/gywlxb.2001.03.003, PP. 178-185

Keywords: 分形,自相似与自仿射,断裂

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Abstract:

按照分形理论研究了具有自相似和自仿射分形结构的复杂表面,并研究了其在Ⅰ型+Ⅱ型和Ⅰ型+Ⅲ型混合载荷下形成的断裂表面的应用。结果指出:分维D与粗糙度指数H之间的关系(D+H=2或D×H=1)只是粗略的近似。用分维D或粗糙度指数H测量断裂表面,在双对数图上得到的是实验曲线而不是直线并不说明没有分形结构,很可能是自相似和自仿射结构的混合。

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