分形理论可用于研究混凝土在损伤演化期间形成的极其不规则的微裂纹。首先运用分形插值构造了迭代函数系统，预测了损伤裂纹，然后使用网格盒子法计算了分形维数，定量的描述了损伤裂纹。同时，在构造迭代函数系统时根据观测数据提出了一种确定纵向压缩因子的数值方法，这种确定纵向压缩因子的方法较前人的工作而言考虑了每个插值区间上的偏差值，将整体的变化特征映射到局部中，会使得插值更加准确，模拟形态更加逼真。最后通过算例的计算结果验证了此模型的有效性。%The fractal theory can be used to research the anomalistic micro cracks of concrete formed in injury evolution. Iterative function system is constructed by fractal interpolation to predict the fracture crack of concrete. Fractal dimension is calculated by the grid box method to quantitatively describe the fracture crack of concrete. Meanwhile, when constructing the iterative function system a numerical method for determining the longitudinal compression factor is given, which considers the deviation on each interval. This article will map the characteristics from global to local, and this method is more accurate than previous methods. This method is verified to be effective.
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