Multiscale statistical laws of dynamic fragmentation


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Abstract

Dynamic fragmentation scaling is analyzed using basic statistical distributions and statistical models that take into account the role of wave effects on the fragment size. The application of symmetry analysis to the modeling of solids with defects based on self-similar solutions for stress and defect density fields is discussed. Fragmentation statistics is described as critical phenomena during evolution of the defect system.

About the authors

O. B. Naimark

Institute of Continuous Media Mechanics, Ural Branch

Author for correspondence.
Email: naimark@icmm.ru
Russian Federation, Perm, 614013

S. V. Uvarov

Institute of Continuous Media Mechanics, Ural Branch

Email: naimark@icmm.ru
Russian Federation, Perm, 614013

M. M. Davydova

Institute of Continuous Media Mechanics, Ural Branch

Email: naimark@icmm.ru
Russian Federation, Perm, 614013

I. A. Bannikova

Institute of Continuous Media Mechanics, Ural Branch

Email: naimark@icmm.ru
Russian Federation, Perm, 614013

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