In recent years fractal geometry has been widely used for the quantitative analysis of material fracture, and in the theoretical investigation the geometry also has its applications Lung gave the fractal model of inte...In recent years fractal geometry has been widely used for the quantitative analysis of material fracture, and in the theoretical investigation the geometry also has its applications Lung gave the fractal model of intercrystalline fracture propagation in the shape of '∧'. Sudiscussed the influence of crystal angle on the fractal dimension. However, although even distribution of θ was employed, an error deduction was given in ref. [7]. In this note, we calculate the fmctal dimension for even distribution and Gaussian distribution of θ respectively by means of random fractal method and compute the numerical integration. We also make some discussion.展开更多
文摘In recent years fractal geometry has been widely used for the quantitative analysis of material fracture, and in the theoretical investigation the geometry also has its applications Lung gave the fractal model of intercrystalline fracture propagation in the shape of '∧'. Sudiscussed the influence of crystal angle on the fractal dimension. However, although even distribution of θ was employed, an error deduction was given in ref. [7]. In this note, we calculate the fmctal dimension for even distribution and Gaussian distribution of θ respectively by means of random fractal method and compute the numerical integration. We also make some discussion.
