| Fractal Nature of Crack Growth under Different Temperature |
| |
| 摘 要： | We have studied numerically a simple crack growth model in a two-dimensional triangular lattice of bonds and nodes which incorporates the sudece of a growing crack bond-breaking probability Pi~ exp{(-Vi+Ei)φ(T)}, where Ei is elastic eneny stored in the i-th bond. Different energy temperature factors φ(T) are employed during crack formation and propagation process with a uniform dilation strain case and a shear case and with periodic boundary condition in the horizontal direction. Our results show that the patterns of the cracks generated are fractal structure and the effective fractal dimensionalities decrease with the increase of the temperature factor φ(T)(the absolute temperature T decreasing). In the paper we also discuss the relation between the effective fractal dimension Deff (the radius Rg Of gyration) and the fractal dimensions D (the radius R of circular), and also give their modification values Ω about two kinds of methods in the lattice model
|
| 收稿时间： | 1996-03-28 |
Fractal Nature of Crack Growth under Different Temperature |
| |
| Authors: | Qunsheng CAO |
| |
| Affiliation: | Qunsheng CAO (Dept. of Physics,Wuhan Yejin University of Science & Technology,Wuhan,China) |
| |
| Abstract: | We have studied numerically a simple crack growth model in a two-dimensional triangular lattice of bonds and nodes which incorporates the sudece of a growing crack bond-breaking probability Pi~ exp{(-Vi+Ei)φ(T)}, where Ei is elastic eneny stored in the i-th bond. Different energy temperature factors φ(T) are employed during crack formation and propagation process with a uniform dilation strain case and a shear case and with periodic boundary condition in the horizontal direction. Our results show that the patterns of the cracks generated are fractal structure and the effective fractal dimensionalities decrease with the increase of the temperature factor φ(T)(the absolute temperature T decreasing). In the paper we also discuss the relation between the effective fractal dimension Deff (the radius Rg Of gyration) and the fractal dimensions D (the radius R of circular), and also give their modification values Ω about two kinds of methods in the lattice model |
| |
| Keywords: | |
| 本文献已被 CNKI 等数据库收录！ |
| 点击此处可从《材料科学技术学报》浏览原始摘要信息 |
|
点击此处可从《材料科学技术学报》下载全文 |
