Fractal analysis of fracture in concrete |
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| Authors: | Jun Peng Zhimin Wu Guofan Zhao |
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| Affiliation: | aDepartment of Civil and Constructing Engineering, Dalian University, Dalian 116622, PR China;bDepartment of Civil Engineering, Dalian University of Technology, Dalian 116023, PR China |
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| Abstract: | Experimental results indicate that propagation paths of cracks in concrete are often irregular, producing rough fracture surfaces which are fractal. Based on dynamic analysis of microcrack coalescence, this paper presents a statistical fractal model to describe the damage evolution of concrete. The model demonstrates that the mechanism of fracture surfaces formed in concrete is closely related to the dynamic processes of the cascade coalescence of microcracks. A unimodal relation between the fractal dimension and the coalescence threshold can qualitatively explain the relation between fractal dimension and fracture energy. |
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