Stochastic dynamics of damage evolution in brittle rocks

✍ Scribed by Vadim V. Silberschmidt; Vladimir G. Silberschmidt

• Publisher: Springer
• Year: 1996
• Tongue: English
• Weight: 666 KB
• Volume: 85
• Category: Article
• ISSN: 0016-7835
• DOI: 10.1007/bf00192067

✦ Synopsis

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. K e y w o r d s d a m a g e • f r a c t u r e • s t o c h a s t i c i t y • scaling • noise Vadim V. Silberschmidt ([]) Mining Institute,