Based on the frame of percolation theory, a new stress release function named as Percolation Release (PR) function has been proposed to describe the course of stress release during the early stage of void coalescence until the final or catastrophic fracture occurring. A clearly physical meaning is given for Dc0, the critical damage for the initiation of void coalescence, and Df, the fracture critical damage. Coupled with damage function model proposed previously, PR function is applied to simulate the spall behaviors of OFHC copper and 45 steel as examples. Compared with the experimental measurements, numerical results indicate that the calculated stress profile and free surface velocity profile as well as the damage distribution in the materials being studied are consistent well with the experiments, and PR function has a good ability for describing the stress release just before the catastrophic fracture occurs.
| 科 Family | 属数 Number of genus | 种数 Number of species | 占总种数比例 Percentage of total species (%) | 属 Genus | 种数 Number of species | 占总种数比例 Percentage of total species (%) |
|---|---|---|---|---|---|---|
| 鹅膏菌科Amanitaceae | 2 | 11 | 5.26 | 鹅膏菌属 Amanita | 10 | 4.78 |
| 小菇科 Mycenaceae | 2 | 12 | 5.74 | 丝盖伞属 Inocybe | 5 | 2.39 |
| 多孔菌科 Polyporaceae | 8 | 14 | 6.70 | 蜡蘑属 Laccaria | 5 | 2.39 |
| 红菇科 Russulaceae | 3 | 23 | 11.00 | 小皮伞属 Marasmius | 6 | 2.87 |
| 小菇属 Mycena | 11 | 5.26 | ||||
| 光柄菇属 Pluteus | 5 | 2.39 | ||||
| 红菇属 Russula | 17 | 8.13 | ||||
| 栓菌属 Trametes | 5 | 2.39 |