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合肥地区膨胀土颗粒粒径的分形分维研究


合肥地区膨胀土颗粒粒径的分形分维研究
摘要:简要介绍了分形几何的相关理论,通过推求膨胀土颗粒粒径的质量分形特征函数得出了膨胀土颗粒粒径的分形分维简易、方便的计算公式。用筛选法和比重计(相对密度计)法对合肥地区有代表性的膨胀土试样进行分析、整理,给出了该地区的膨胀土颗粒粒径的分形分维值大致范围,为进一步深入研究该地区膨胀土性质和结构奠定了基础。

Abstract:The theory related to fractal geometry is introduced,and the simple calculation formula of fractal dimension of expansive soil particles is deduced with the presentation of their mass fractal characteristic function.Furthermore,several representative expansive soil samples of Hefei region are analyzed and handled with sieve method and densimeter method.At last the rough slope of fractal dimension value of radii of expansive soil particles is obtained,which could be the basis of further study on the character and structure of the expansive soil in this region.

中文标题:
合肥地区膨胀土颗粒粒径的分形分维研究
Study on Fractal and Fractal Dimension of the Expansive Soil Grains Radii in Hefei Region

作者:
王志亮
WANG Zhi-liang
作者简介:王志亮,1969年生,男,汉族,安徽枞阳人,河海大学岩土工程专业博士研究生。
通讯地址:
河海大学土木工程学院, 南京 210098


中图分类号:TU443

出版物:岩土工程技术
收稿日期:2003-04-07
网络出版日期:2021-07-21


关键词:分形几何,膨胀土,分形分维,土颗粒粒径
Key words:fractal geometry,expansive soil,fractal and fractal dimension,radii of soil particles
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