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Fractality of Simulated Fracture

Fractality of Simulated Fracture. Fractality of Simulated Fracture. Petr Frantík ● Zbyn ěk Keršner Václav Veselý ● Ladislav Řoutil. F ACULTY OF CIVIL ENGINEERING B RNO UNIVERSITY OF TECHNOLOGY.

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Fractality of Simulated Fracture

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

  2. Natural properties of real fracture process Motivation ●fractal geometry of fracture surface - fractal dimension of 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

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

  4. Exponential law Fragmenting

  5. What implies? Exponential law ●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

  6. Two numerical models in FyDiK2D application Simulation physical discrete elements particles

  7. Movies

  8. Discrete elements Conclusions / Results

  9. This outcome has been achieved with the financial support of the GA ČRproject107/07/1276. We specially thanks to Jan Eliáš for mesh generation. FACULTY OF CIVIL ENGINEERING BRNO UNIVERSITY OF TECHNOLOGY

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