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分形理论在含缺陷物体断裂中的研究
引用本文:孙洪军,张旭,赵丽红.分形理论在含缺陷物体断裂中的研究[J].辽宁工学院学报,2007,27(3):159-161.
作者姓名:孙洪军  张旭  赵丽红
作者单位:辽宁工业大学土木建筑系 辽宁锦州121001(孙洪军,赵丽红),锦州市大通公路勘察设计院 辽宁锦州121000(张旭)
摘    要:含缺陷物体的断裂是一个能量耗散的过程,而这种能量耗散与断裂表面的不规则性有着直接的关系。介绍了分形几何在断裂表面分析方面的应用、断裂表面所耗散的能量与断裂表面之间的数学模型,以及两种断裂表面分形维数的测定方法——小岛法和垂直剖面法,并讨论了分形维数与材料性能之间的关系。

关 键 词:分形  含缺陷物体  断裂
文章编号:1005-1090(2007)03-0159-03
修稿时间:2006-12-07

Research on Fractal Theory in Fracture of Bodies with Defects
SUN Hong-jun, ZHANG XU, ZHAO Li-hong.Research on Fractal Theory in Fracture of Bodies with Defects[J].Journal of Liaoning Institute of Technology(Natural Science Edition),2007,27(3):159-161.
Authors:SUN Hong-jun  ZHANG XU  ZHAO Li-hong
Abstract:The fracture of bodies with defects is the course of energy dissipation.The energy dissipation has direct relationship with the irregularity of fracture surface.The fractal geometry application of the fracture surface analysis and mathematics model between the energy dissipation of the fracture surface and the fracture surface were described.In addition,two measuring methods for fractal dimension of the fracture surface were presented,i.e,the slit island method and the vertical section one.The relations between fractal dimension and material characteristics were also discussed.
Keywords:fractal  bodies with defects  fracture
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