铁道科学与工程学报
鐵道科學與工程學報
철도과학여공정학보
Journal of Railway Science and Engineering
2015年
5期
1052-1057
,共6页
刘小明%汪翠%谭雅%张学磊
劉小明%汪翠%譚雅%張學磊
류소명%왕취%담아%장학뢰
导电沥青混凝土%分形理论%导电机理%分维
導電瀝青混凝土%分形理論%導電機理%分維
도전력청혼응토%분형이론%도전궤리%분유
Conductive asphalt concrete%fractal theory%conducting mechanism%fractal dimensions
引入分形理论研究导电通路的分布特征,利用分形维数描述导电沥青混凝土从绝缘体到导体的转换过程。基于Matlab 平台,结合常规的图像处理方法,获取图像的盒维数信息,分析分维与导电相材料体积掺量之间的关系。研究结果表明:导电通路的分布图具有明显的统计意义的自相似性,分形维数在二维平面内随石墨掺量增加而增大,变化趋势类似于电阻率与石墨掺量的依赖性。说明分形维数可明确地、定量地表征导电沥青混凝土中形成导电渗流途径的连通程度。
引入分形理論研究導電通路的分佈特徵,利用分形維數描述導電瀝青混凝土從絕緣體到導體的轉換過程。基于Matlab 平檯,結閤常規的圖像處理方法,穫取圖像的盒維數信息,分析分維與導電相材料體積摻量之間的關繫。研究結果錶明:導電通路的分佈圖具有明顯的統計意義的自相似性,分形維數在二維平麵內隨石墨摻量增加而增大,變化趨勢類似于電阻率與石墨摻量的依賴性。說明分形維數可明確地、定量地錶徵導電瀝青混凝土中形成導電滲流途徑的連通程度。
인입분형이론연구도전통로적분포특정,이용분형유수묘술도전력청혼응토종절연체도도체적전환과정。기우Matlab 평태,결합상규적도상처리방법,획취도상적합유수신식,분석분유여도전상재료체적참량지간적관계。연구결과표명:도전통로적분포도구유명현적통계의의적자상사성,분형유수재이유평면내수석묵참량증가이증대,변화추세유사우전조솔여석묵참량적의뢰성。설명분형유수가명학지、정량지표정도전력청혼응토중형성도전삼류도경적련통정도。
This paper introduces the fractal theory to the study on the distribution characteristics of the conduc-tive paths of asphalt concrete by using fractal dimension to describe the conversion process when asphalt concrete are changed into conductor.Based on Matlab,the images information of the box -counting dimension combined with the conventional image processing method is obtained.The relationship between fractal dimension and vol-ume content of the conductive material was also analyzed.The results show that:the conductive path of asphalt concrete has obviously statistical significant similarity on fractal,and fractal dimension increases by the graphite content at two -dimensional plane.In addition,the change trend of fractal dimension is similar to the depend-ence of resistivity and graphite content.The results indicate that fractal dimension can describe the degree of connectivity clearly and quantitatively when conductive asphalt concrete forming a percolation path.