断裂尺度的分形分布与其损伤演化的关系

RELATION BETWEEN FRACTURE-SCALE FRACTAL DISTRIBUTION AND ITS DAMAGE EVOLUTION

借助于分形几何学和损伤力学的方法,重新考察和分析计算了有关的岩石断裂实验所提供的实验数据。分析计算结果表明:岩石断裂的损伤演化过程具有良好的统计自相似性,断裂尺度分布的分形维数能够很好地刻画岩石的损伤程度,并且在岩石断裂的损伤演化过程中,断裂尺度分布的分形维数(DL)随外载荷(σ)呈线性增大。对断裂尺度分布的分形维数而言,损伤演化过程是一个增维过程。根据计算结果给出了分形维数(DL)与损伤变量(ω)之间的经验关系。

The data provided by the related rock fracture test were reviewed,analyzed and calculated using the methods of fractal geometry and damage fracture mechanics.The results show that the rock damage evolution has better statistical self-similarity,that the fractal dimension of the fracture-scale distribution can well describe the degree of rock damage and that the fractal dimension (D_L) of fracture-scale distribution increases with the linear increase of the load (σ) in the process of the damage evolution of rock fracture.For the fractal dimension of the fracture-scale distribution,the damage evolution is a process of increase in dimension.The empirical relation between the fractal dimension (D_L) and the damage variable (ω) was gained according to the calculated results.