孙柏坤,施国栋,贾森.分形理论在粘性土龟裂网络发展分析中的应用[J].安徽建筑大学学报,2017,25(1):29-33 |
分形理论在粘性土龟裂网络发展分析中的应用 |
Application of Fractal Theory in Clayey Soil Crack Network Development Analysis |
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DOI:10.11921/j.issn.2095-8382.20170107 |
中文关键词: 分形理论 龟裂网络 分维值 表征单元体 粘性土 |
英文关键词: fractal theory crack network fractal dimension representative elementary volume clayey soil |
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中文摘要: |
通过室内龟裂实验,采用分形理论的方法对不同温度条件下形成的龟裂网络以分维值和裂隙率两大指标对其进行量化分析,研究了温度对粘性土龟裂网络发展的影响;并根据表征单元体的物理意义,以分维值的指标对其表征面积进行估算。结果表明:温度对粘性土龟裂发育具有重要影响,分维值和裂隙率均随温度的升高而增大,其对不同土样的影响具有一定的差异性,分维值与裂隙率之间存在明显的正相关关系,表征单元体面积则与龟裂发育的均匀性和裂隙率有关。 |
英文摘要: |
By designing interior crack experiments on clayey soil,in which fractal theorys applied to the crack network to form the fractal dimension and fissure rate of two indicators of its quantitative analysis to study the development of clayey soil crack network in various temperatures.According to the physical meaning of representative elementary volume(REV),a method for estimating the cracked soil's REV based on the fractal dimension is presented.The results show that the development of clayey soil crack were significantly influenced by temperature,also as the temperature rises,the frpactal dimension and fissure rate tend to increase.Moreover the influence differs in terms of different soil,and the existence of a significant ositive correlation between the fractal dimension and fracture rate.The REV is related to the homogeneity of crack and fracture rate. |
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