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分形(fractal)几何与岩石断裂

FRACTAL GEOMETRY AND FRACTURE OF ROCK

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【作者】 谢和平陈至达

【Author】 Xie Heping Chen Zhida(China Institute of Mining & Technology)

【机构】 中国矿业学院中国矿业学院

【摘要】 岩石断口的不规则性可以统计地认为具有自相似性,由此本文应用新几何——分形(fractal) 几何来描述这种不规则性。建立了穿晶以及沿晶界和穿晶相偶合的微观断裂fractal 模型,用电镜和光学显微镜观察了大量岩石断口的 fractal 特征,得到了 fractal 维数与岩石宏观断裂力学量之间的初步对应关系。

【Abstract】 The irregular and rough profile of fracture surfaces of rock can be regarded was having self-similarity statistically. The authors apply a new geometry-fractal geometry to describe this irregularity. Fractal models of transgranular fracture and combination of in-tergranular fracture with transgranular fracture of rock are established. The fractal character 玱f fracture surface of rock is examined by electron scanning and optical fractographic analysis. Finally, the relation between fractal dimension and macromechanics quantities of rock fracture is obtained.

  • 【文献出处】 力学学报 ,Acta Mechanica Sinica , 编辑部邮箱 ,1988年03期
  • 【被引频次】225
  • 【下载频次】1701
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