| 基于分形理论的土体微观结构研究 |
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| 引用本文： | 刘熙媛,窦远明,闫澍旺,曹海莹. 基于分形理论的土体微观结构研究[J]. 建筑科学, 2005, 21(5): 21-25,10 |
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| 作者姓名： | 刘熙媛 窦远明 闫澍旺 曹海莹 |
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| 作者单位： | 河北工业大学,土木工程学院,天津,300132;天津大学,建工学院,天津,300070 |
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| 基金项目： | 河北省自然科学基金资助项目（500045） |
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| 摘 要： | 土体的微观结构对土的工程性质具有重要的影响.基于分形理论适合于研究复杂不规则图形的特点,介绍了分形理论在土体微观结构研究中的作用,定义了研究土体微观结构的平面分形维数.利用光学显微镜对不同应力路径三轴试验的土样进行孔隙大小及分布的对比研究.利用MATLAB语言编写程序,对土体微观结构图片进行了平面分维计算,分析了不同应力路径试验后土体微观结构的分形特征.分析结果表明,土样的微观结构具有分形特征,其平面分维在1.5～2.0之间;土体越松散,平面分维的数值越大.
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| 关 键 词： | 分形理论 微观结构 平面分维 |
| 文章编号： | 1002-8528（2005）05-0021-05 |
| 收稿时间： | 2004-12-25 |
| 修稿时间： | 2004-12-25 |
Study on Microstructure of Soil with Fractal Theory |
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| LIU Xi-yuan,DOU Yuan-ming,YAN Shu-wang,CAO Hai-ying. Study on Microstructure of Soil with Fractal Theory[J]. Building Science, 2005, 21(5): 21-25,10 |
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| Authors: | LIU Xi-yuan DOU Yuan-ming YAN Shu-wang CAO Hai-ying |
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| Affiliation: | 1. School of Civil Engineering, Hebei University of Technology ,Tianjin 300132, China; 2. School of Civil Engineering , Tianjin University, Tianjin 300072, China |
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| Abstract: | The engineering character of soil is influenced greatly by its microstructure. Because the fractal theory is suitable for the study of complex and irregular structure, its functions of studying the microstructure of soil are introduced, and the plane fractal dimension used to study the microstructure of soil is defined. The pore size and distribution of soil in the different stress path tests were studied by the optical microscope. Then,the program was coded with MATLAB and the plane fractal dimension of microstructure figures of soil were calculated. The fractal character of soil was analyzed in the different stress path tests. The results show that the microstructure of soil has the fractal characteristic and the plane fractal dimension varies from 15 to 2.0. The looser the soil is, the larger the plane fractal dimension. |
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| Keywords: | fractal theory microstructure plane fractal dimension |
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