2022
DOI: 10.1103/physrevlett.129.078002
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Critical Scaling of Solid Fragmentation at Quasistatic and Finite Strain Rates

Abstract: Using two-dimensional simulations of sheared, brittle solids, we characterize the resulting fragmentation and explore its underlying critical nature. Under quasistatic loading, a power-law distribution of fragment masses emerges after fracture which grows with increasing strain. With increasing strain rate, the maximum size of a grain decreases and a shallower distribution is produced. We propose a scaling theory for distributions based on a fractal scaling of the largest mass with system size in the quasistat… Show more

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Cited by 6 publications
(4 citation statements)
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“…Fragmentation generally corresponds to significant breakage and tiny fragments, which is frequently observed in cases of dynamic impact 47 . With increasing strain rate, the phenomenon of fragmentation generally becomes more obvious 48 . Hence, clearer fragmentation can be observed at the bottom part of the present numerical sample with increasing impact velocity.…”
Section: Resultsmentioning
confidence: 58%
See 1 more Smart Citation
“…Fragmentation generally corresponds to significant breakage and tiny fragments, which is frequently observed in cases of dynamic impact 47 . With increasing strain rate, the phenomenon of fragmentation generally becomes more obvious 48 . Hence, clearer fragmentation can be observed at the bottom part of the present numerical sample with increasing impact velocity.…”
Section: Resultsmentioning
confidence: 58%
“…47 With increasing strain rate, the phenomenon of fragmentation generally becomes more obvious. 48 Hence, clearer fragmentation can be observed at the bottom part of the present numerical sample with increasing impact velocity.…”
Section: Evolution Of the Breakage Process And Fracture Patterns Upon...mentioning
confidence: 57%
“…Currently, the package includes an implementation of a point-particle-based model, as used in this work, as well as a more common model based on DEM particles with rotational degrees of freedom and bonds that transmit shear forces and torques. 51 Features of the package include generalized methods for bonds to store data (such as a reference state or strain history to model plasticity 64 ), communicate with neighbors to calculate multibody interactions, break under various loading conditions (to model fracture or fragmentation 53,57 ), and optionally either overlay or censor pair forces between bonded particles. All capabilities were developed with parallel efficiency in mind.…”
Section: Methodsmentioning
confidence: 99%
“…With rotation, simulations are more akin to traditional DEM and bonds between particles can be thought of as beams which transmit normal and shear forces as well as torques. 35,36,50,51 In contrast with point particles, bonds typically only transmit normal forces, [41][42][43]52,53 although, additional forces may be overlaid. 38,40,[54][55][56][57] A common obstacle in BPMs is modeling different Poisson's ratios.…”
Section: Bonded Particle Modelsmentioning
confidence: 99%