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分形理论在混凝土断裂面研究中的应用

Application to Fractal Theory in Study on the Fracture Surfaces of Concrete

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【作者】 刘小艳李文伟梁正平

【Author】 Liu Xiaoyan Li Wenwei Liang Zhengping(State Key Laboratory of concrete material, Tongji Univ. , Shanghai 200092, China; Test Center, China Three Gorges General Corporation, Yichang 443133 ,China; College of Civil Engineering,Hohai Univ. ,Nanjing 210098,China)

【机构】 同济大学混凝土材料研究国家重点实验室中国三峡总公司试验中心河海大学土木工程学院 上海 200092中国三峡总公司试验中心湖北 宜昌 443133南京 210098

【摘要】 介绍了对混凝土断裂面进行分形研究的重要性、分形理论及混凝土断裂面分析中几种主要的分数维测量方法;基于激光三角测距原理对试验后的混凝土断裂面进行三维重构.并应用分形几何这一理论工具对重构的断裂面进行分析,得到分数维、粗糙度等断裂面信息;通过探讨分数维与混凝土的力学性能及材料组成的关系,得出在本文试验条件下分数维与混凝土的抗拉强度、峰值应变及峰值弹模存在反比关系,与水灰比、含气量存在正比关系,与胶凝材料用量存在反比关系等一系列结论.

【Abstract】 The importance of study on the fracture surfaces, the fractal theory and the measurements of fractal dimensions are introduced. Based on the theory of laser triangulation, the 3-D profiles of the fracture surfaces are reconstructed. Using Fractals, we have analyzed the 3-D profiles and got the information such as fractal dimensions, roughness,etc. The relations between fractal dimensions of the fracture surfaces and mechanical properties of concrete are discussed. The relations, between fractal dimensions of the fracture surfacesand material parameters are also investigated. The experimental results and theoretical analysis show that the fractal dimensions decrease with the increase of tensile strength, peak-strain and tangent elastic modulus at peak load; and fractal dimensions decrease with the increase of the amount of cementitious material; but the fractal dimensons increase with the increase of water-cement ratio and air content.

  • 【文献出处】 三峡大学学报(自然科学版) ,Journal of University of Hydraulic and Electric Engineering/yichang , 编辑部邮箱 ,2003年06期
  • 【分类号】TU528
  • 【被引频次】18
  • 【下载频次】381
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