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1 Research Institute for Mathematics and Mechanics, St. Petersburg State University
Universitetskii 28, Stary Petergof, St. Petersburg 198504, Russia
2 Institute for Problems of Mechanical Engineering, Russian Academy of Sciences,
Bolshoj 61, Vas. Ostrov, St. Petersburg, 199178, Russia
| A theoretical model is suggested which describes formation and convergence of nano-scale cracks along grain boundaries in nanocrystalline materials under quasistatic mechanical loading. In the framework of the suggested model, the convergence of cracks is described as a percolation process consisting of independent elementary events each being the formation of a nano-scale crack along one grain boundary. The effect of a distribution in geometric parameters (length, orientation) of grain boundaries in a mechanically loaded nanocrystalline solid on the convergence of nano-scale cracks, leading to the macroscopic crack formation, is analysed. |
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