Mechanisms for fragment formation in brittle solids

Levandovsky, Artem; Balazs, Anna C.

doi:10.1103/physreve.75.056105

Cited by 5 publications

(3 citation statements)

References 18 publications

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“…DEM simulations of fragmentation processes have been able to reproduce the power law functional form [2][3][4][5][6]15] with various types of cohesive interactions from LennardJones solids [14,[31][32][33] through spring lattices [30,33] to beam networks [4,8,15]. The concept of universality motivated the development of stochastic models of fragmentation [34,35], among which the crack branching-merging scenario proved to be very successful [36,37]. Recent DEM simulations of a generic model of brittle solids have reported a surprising result: The fragment mass exponent τ of a two-dimensional disk impacted against a hard wall was found to slowly increase with the imparted energy E 0 .…”

Section: Fragment Mass Distributionmentioning

confidence: 99%

Scaling laws for impact fragmentation of spherical solids

et al. 2012

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We investigate the impact fragmentation of spherical solid bodies made of heterogeneous brittle materials by means of a discrete element model. Computer simulations are carried out for four different system sizes varying the impact velocity in a broad range. We perform a finite size scaling analysis to determine the critical exponents of the damage-fragmentation phase transition and deduce scaling relations in terms of radius R and impact velocity v(0). The scaling analysis demonstrates that the exponent of the power law distributed fragment mass does not depend on the impact velocity; the apparent change of the exponent predicted by recent simulations can be attributed to the shifting cutoff and to the existence of unbreakable discrete units. Our calculations reveal that the characteristic time scale of the breakup process has a power law dependence on the impact speed and on the distance from the critical speed in the damaged and fragmented states, respectively. The total amount of damage is found to have a similar behavior, which is substantially different from the logarithmic dependence on the impact velocity observed in two dimensions.

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Section: Fragment Mass Distributionmentioning

confidence: 99%

Scaling laws for impact fragmentation of spherical solids

et al. 2012

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“…[8][9][10][11][12][13][14] This corresponds to a regime in which the fragment distribution has certain aspects of scale-invariance and can be treated as a fractal with a particular dimensionality. Oddershede and coworkers suggested that the power-law behavior observed in brittle fragment distributions could be interpreted in the context of self-organized criticality, and proposed a fragment distribution of the form,…”

Section: Introductionmentioning

confidence: 99%

Impact fragmentation of aluminum reactive materials

Hooper

2012

Journal of Applied Physics

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We report the fragmentation of brittle, granular aluminum spheres following high velocity impact (0.5-2.0 km/s) on thin steel plates. These spheres, machined from isostatically pressed aluminum powder, represent a prototypical metallic reactive material. The fragments generated by the impacts are collected in a soft-catch apparatus and analyzed down to a length scale of 44 lm. With increasing velocity, there is a transition from an exponential Poisson-process fragment distribution with a characteristic length scale to a power-law behavior indicative of scale-invariance. A normalized power-law distribution with a finite size cutoff is introduced and used to analyze the number and mass distributions of the recovered fragments. At high impact velocities, the power-law behavior dominates the distribution and the power-law exponent is identical to the universal value for brittle fragmentation discussed in recent works. The length scale at which the power-law behavior decays is consistent with the idea that the length of side microbranches or damage zones from primary cracks is governing this cutoff. The transition in fragment distribution at high strain-rates also implies a significant increase in small fragments that can rapidly combust in an ambient atmosphere.

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“…2 we present a small collection of crack patterns obtained by a point-like impact. Understanding such fracture or fragmentation patterns and modelling them is a challenge for modern computational material science and physics [4][5][6][7][8][9][10]. Fracture and elasticity of soda-lime glass has been studied and modelled for a long time [11][12][13][14][15][16][17].…”

Section: Introductionmentioning

confidence: 99%

Spring-block approach for crack patterns in glass

et al. 2012

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Abstract:Fracture patterns resulting from point-like impact acting perpendicularly on the plane of a commercial sodalime glass plate is modelled by a spring-block system. The characteristic patterns consist of crack lines that are spreading radially from the impact point and concentric arcs intersecting these radial lines. Experimental results suggest that the number of radial crack lines is scaling linearly with the energy dissipated during the crack formation process. The elaborated spring-block model reproduces with success the observed fracture patterns and scaling law. PACS

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Mechanisms for fragment formation in brittle solids

Cited by 5 publications

References 18 publications

Scaling laws for impact fragmentation of spherical solids

Scaling laws for impact fragmentation of spherical solids

Impact fragmentation of aluminum reactive materials

Spring-block approach for crack patterns in glass

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