Critical behavior and energy dependence of mass distributions in impact fragmentation

“…Recently, experiments on the impact induced fragmentation of long thin glass rods [29,30] and freely hanging glass plates [31,32] revealed energy dependence of the mass distribution exponent, i.e., the exponent was found to increase with the imparted energy [29][30][31][32][33][34][35]. The importance of these findings originates from the fact that, on the one hand, they question the universality and hence the phase transition interpretation * ferenc.kun@science.unideb.hu of fragmentation phenomena, and on the other hand, they have consequences on the design of engineering technologies used for crushing in mining and ore processing [10].…”

Section: Introductionmentioning

confidence: 99%

Emergence of energy dependence in the fragmentation of heterogeneous materials

2014

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The most important characteristics of the fragmentation of heterogeneous solids is that the mass (size) distribution of pieces is described by a power law functional form. The exponent of the distribution displays a high degree of universality depending mainly on the dimensionality and on the brittle-ductile mechanical response of the system. Recently, experiments and computer simulations have reported an energy dependence of the exponent increasing with the imparted energy. These novel findings question the phase transition picture of fragmentation phenomena, and have also practical importance for industrial applications. Based on large scale computer simulations here we uncover a robust mechanism which leads to the emergence of energy dependence in fragmentation processes resolving controversial issues on the problem: studying the impact induced breakup of platelike objects with varying thickness in three dimensions we show that energy dependence occurs when a lower dimensional fragmenting object is embedded into a higher dimensional space. The reason is an underlying transition between two distinct fragmentation mechanisms controlled by the impact velocity at low plate thicknesses, while it is hindered for three-dimensional bulk systems. The mass distributions of the subsets of fragments dominated by the two cracking mechanisms proved to have an astonishing robustness at all plate thicknesses, which implies that the nonuniversality of the complete mass distribution is the consequence of blending the contributions of universal partial processes.

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“…Despite its simple and rather everyday aspect, fragmentation is a complex and distinctly far-from-equilibrium process which is beneficially studied with computer simulations [13,14,15,16,17,18,19,20,21,22,23]. Indeed, this approach can grasp the complexity and the dynamical properties of fragmentation by taking into account the various parameters that may influence the process -and consider them one by one.…”

Section: Introductionmentioning

confidence: 99%

Damage in impact fragmentation

Sator

Hietala

2009

IUTAM Symposium on Dynamic Fracture and Fragmentation

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Using a simple and generic molecular dynamics model, we study the damage in a disk of interacting particles as the disc fragments upon impact with a wall. The damage, defined as the ratio of the number of bonds broken by the impact to the initial number of bonds, is found to increase logarithmically with the energy deposited in the system. This result implies a linear growth with damage for the total number of fragments and for the power law exponent of the fragment size distribution.

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Critical behavior and energy dependence of mass distributions in impact fragmentation

Cited by 16 publications

References 25 publications

Properties of ejecta generated at high-velocity perforation of thin bumpers made from different constructional materials

Properties of ejecta generated at high-velocity perforation of thin bumpers made from different constructional materials

Emergence of energy dependence in the fragmentation of heterogeneous materials

Damage in impact fragmentation

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