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On critical exponents for impact fragmentation of spherical solids

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  • Myagkov, N.N.

Abstract

In the present paper, we consider the high-velocity impact fragmentation of two spherical solid bodies in a three-dimensional (3D) setting. Computer simulations are carried out by smoothed particle hydrodynamics method applied to the equations of mechanics of deformable solids for five different system sizes varying the impact velocity in a broad range. The material behavior is described by the Mie–Gruneisen equation of state and the Johnson–Cook model for the yield strength. We consider the transition from the damage to the fragmentation at the impact velocity variation that is treated as a phase transition. As a result, the critical exponents τ, β, γ and ν of the damage-fragmentation transition are calculated and their compatibility is checked. By calculating the gyration radius of fragments, we show that they are fractal objects with dimension depending on the fragments mass. It is shown that the fractal dimension for the small masses is consistent with the found critical exponents.

Suggested Citation

  • Myagkov, N.N., 2019. "On critical exponents for impact fragmentation of spherical solids," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 534(C).
    • Handle: RePEc:eee:phsmap:v:534:y:2019:i:c:s0378437119312324
    DOI: 10.1016/j.physa.2019.122117
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    References listed on IDEAS

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    1. Myagkov, N.N. & Shumikhin, T.A., 2005. "Critical behavior and energy dependence of mass distributions in impact fragmentation," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 358(2), pages 423-436.
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