Stochastic dynamics of damage evolution in brittle rocks |
| |
| Authors: | Vadim V Silberschmidt Vladimir G Silberschmidt |
| |
| Institution: | (1) Mining Institute, Russian Academy of Sciences, Perm, Russia;(2) Present address: Geologisches Institut, Wilhelmstr. 88, D-38100 Braunschweig, Germany;(3) Perm State Technical University, Perm, Russia |
| |
| Abstract: | Development of defects in brittle rocks is analysed in terms of continuous damage mechanics with an emphasis on a shear damage evolution. Necessity to account for an effect of stochastic action leads to an introduction of kinetic relations for damage accumlation in a form of stochastic differential equations. Numerical algorithms for their solution for three types of noise are proposed. Results of simulation are compared with analytical solutions for a determiistic case (absence of stochastic action). Effect of various types of noise on damage accumulation and on time-to-fracture distributions is investigated. The study is limited to the case of temporal stochasticity; ways for unification of approach and schemes with spatial randomness are discussed. |
| |
| Keywords: | damage fracture stochasticity scaling noise |
| 本文献已被 SpringerLink 等数据库收录！ |
