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arXiv · 0808.1214

Investigation of the kinetic equation of cascade fragmentation theory at not self-similar subdivision

R. E. Brodskii·Yu P. Virchenko
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Abstract

The cascade kinetic fragmentation process of solids is investigated when the condition probability density of splinter formation do not depends on time and has the property $P(ρ, r, t) = P(ρ/r)$. It is obtained the evolution equation for the probability distribution density in terms of its Mellin transformation. In the particular case $P(ρ/r) = C (ρ/r)^α$, the limit solution of this equation at $t \to \infty$ is found. It differs essentially from the Kolmogorov law.

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R. E. Brodskii, Yu P. Virchenko. 2008-08-10. Investigation of the kinetic equation of cascade fragmentation theory at not self-similar subdivision. https://arxiv.org/abs/0808.1214

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