Impossibility of fragmenting small particles: brittle—ductile transition

Hagan, J. T.

doi:10.1007/bf02402857

Cited by 45 publications

(14 citation statements)

References 13 publications

(17 reference statements)

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“…In comparison, the critical specimen size for glass predicted by the above analysis is about 0.5 Am, which is in excellent agreement with the literature [17,18]. Other results are obtained with different NaCl: l u c 27 -83 Am [19,20].…”

Section: Comparison With the Literaturesupporting

confidence: 89%

“…This result is in agreement with the brittle -ductile transition theory that predicts for PMMA a critical diameter of 0.303 mm below which failure by chipping in the semi-brittle mode is not possible. Hagan [17] showed that the ultimate particle size below which the particle can only be deformed elastically can be approximated by:…”

Section: Comparison With the Literaturementioning

confidence: 99%

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Fragmentation by high velocity impact on a target: a material grindability test

et al. 2003

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An experimental test rig for the study of impact in an air-jet mill (up to 500 m s À 1) allows the evaluation of the relationship between the impact energy and the fineness of the impacted solids. In single impact tests, so far, three types of behaviour are found: brittle (for glass, sand, polyamide and NaCl), ''complex'' (for Al(OH) 3) and ductile (for PMMA). A classification is obtained from the definition of grindability parameters. A multi-impact study reveals the non-equivalence between multiple impact and single impact: a solid is not broken similarly if a given total energy is provided in one or several impacts.

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Section: Comparison With the Literaturesupporting

confidence: 89%

Section: Comparison With the Literaturementioning

confidence: 99%

Fragmentation by high velocity impact on a target: a material grindability test

et al. 2003

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“…Numerous researchers have explored the comminution limit (e.g., Kendall 1978, Hagan 1981, Sammis & Ben-Zion 2008. Application of the Griffith energy criterion of fracture to an idealized geometry indicates that the propagation stress required to activate a flaw is inversely proportional to the square root of sample size.…”

Section: Comminution and The Comminution Limitmentioning

confidence: 99%

Frictional Melting Processes in Planetary Materials: From Hypervelocity Impact to Earthquakes

Spray

2010

Annu. Rev. Earth Planet. Sci.

170

117

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Frictional melting is the result of the conversion of mechanical deformation to heat under adiabatic conditions of slip. Within planetary materials, which are mainly natural ceramics, frictional melting occurs at high strain rates (typically >10 −2 s −1) and at slip velocities greater than 0.1 m s −1. The pathway to friction melting is controlled by the mechanical properties of a rock's constituent minerals, especially fracture toughness. Minerals with the lowest fracture toughnesses and breakdown temperatures are preferentially comminuted and fused to form the melt. The product is a polyphase suspension comprising mineral and rock fragments enclosed in a liquid matrix. This cools to form the rock type known as pseudotachylyte, and at even higher strain rates, it forms shock veins in meteorites and in impact craters, which may contain high-pressure mineral polymorphs. The generation of melt on sliding surfaces can lubricate earthquake faults, facilitate the post-shock modification of impact craters, and make landslides more hazardous.

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“…However, the smaller-than-expected number of small particles may instead be a result of a fundamental change in the mode of failure as the material deforms by ductile rather than brittle deformation mechanisms. Kendall (1978) and Hagan (1981) showed that the mechanics of crack nucleation and propagation impose a limit to the size of particles that can be produced by breakage. Using fracture toughness and hardness data from Broz et al (2006) and the relation of Hagan (1981), we calculate this comminution limit for quartz and orthoclase as ~0.5 μm.…”

Section: The Comminution Limitmentioning

confidence: 99%