外部荷载作用下混凝土构件表面裂缝发展的分形特性研究

Study on fractal characteristics of surface crack development of concrete unit under external load

通过混凝土四点弯曲梁的物理实验,验证了混凝土梁表面裂缝具有明显的统计意义上的分形特性,表明了采用分形手段研究混凝土表面裂缝的可行性。采用分形手段来研究混凝土构件表面裂缝的发展情况,并得出了梁表面裂缝的分形维数与梁跨中挠度存在明确的定量关系。将分形理论应用于描述混凝土裂缝的发展情况,为混凝土结构的设计和维护提供了理论依据。

Through the physical experiment of the four point bending concrete beam, it is revealed that the surface crack distribution of the concrete beam takes on fractal behavior in a statistics sense, this shows that it is feasible to adopt the fractal means to study the concrete surface crack. The fractal geometry is employed to investigate the development of the surface crack, and it is confirmed that the relationships between the fractal dimension of beam surface crack distribution and the deflection of the beam span is quantitative. The application of the fractal theory in the description of the concrete crack development provides theoretical basis for design and maintenance of the concrete structure.