Fractality of Simulated Fracture Petr Frantk Zbynk Kerner

Fractality of Simulated Fracture Petr Frantík ● Zbyněk Keršner Václav Veselý ● Ladislav Řoutil FACULTY OF CIVIL ENGINEERING BRNO UNIVERSITY OF TECHNOLOGY

Motivation Natural properties of real fracture process ● fractal geometry of fracture surface - fractal dimension of a profile ● dynamics of fracture - fractal analysis of time series - exponential law of fracture events ● fragmentation - exponential law of mass and number of fragments

Motivation Fragmenting caused by impact v Oddershede L. , Dimon P. , Bohr J. (1993): Self-organized criticality in fragmenting Phys. Rev. Lett. 71, 3107 -- 3110

Fragmenting Exponential law

Exponential law What implies? ● size of fragments - typical size does not exist - fracture is scale-invariant - fracture surface is fractal ● fracture process - cannot be precisely predicted - extremely sensitive (chaotic) Buchanan M. (2000): Ubiquity Weidenfeld & Nicolson, London

Simulation Two numerical models in Fy. Di. K 2 D application physical discrete elements particles

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Conclusions / Results Discrete elements

This outcome has been achieved with the financial support of the GA ČR project 107/07/1276. We specially thanks to Jan Eliáš for mesh generation. FACULTY OF CIVIL ENGINEERING BRNO UNIVERSITY OF TECHNOLOGY