Comminution of solids due to kinetic energy of high shear strain rate: Implications for shock and shale fracturing

Zdenek P Bazant*, Ferhun C. Caner

*Corresponding author for this work

Research output: Chapter in Book/Report/Conference proceedingConference contribution

1 Scopus citations

Abstract

This paper outlines the basic idea of a macroscopic model on the dynamic comminution or fragmentation of rocks, concrete, metals, and ceramics. The essential idea is that the driving force of comminution under high-rate shear and compression with shear is the release of the local kinetic energy of shear strain rate. The density of this energy at strain rates >1,000/s is found to exceed the maximum possible strain energy density by orders of magnitude, making the strain energy irrelevant. It is shown that particle size is proportional to the -2/3 power of the shear strain rate and the 2/3 power of the interface fracture energy or interface shear stress, and that the comminution process is macroscopically equivalent to an apparent shear viscosity that is proportional (at constant interface friction) to the -1/3 power of this rate. A dimensionless indicator of the comminution intensity is formulated. The theory was inspired by noting that the local kinetic energy of shear strain rate plays a role analogous to the local kinetic energy of eddies in turbulent flow.

Original languageEnglish (US)
Title of host publicationShale Energy Engineering 2014
Subtitle of host publicationTechnical Challenges, Environmental Issues, and Public Policy - Proceedings of the 2014 Shale Energy Engineering Conference
PublisherAmerican Society of Civil Engineers (ASCE)
Pages144-150
Number of pages7
ISBN (Print)9780784413654
DOIs
StatePublished - Jan 1 2014
EventShale Energy Engineering 2014: Technical Challenges, Environmental Issues, and Public Policy - Pittsburgh, PA, United States
Duration: Jul 21 2014Jul 23 2014

Other

OtherShale Energy Engineering 2014: Technical Challenges, Environmental Issues, and Public Policy
CountryUnited States
CityPittsburgh, PA
Period7/21/147/23/14

ASJC Scopus subject areas

  • Energy Engineering and Power Technology
  • Fuel Technology

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    Bazant, Z. P., & Caner, F. C. (2014). Comminution of solids due to kinetic energy of high shear strain rate: Implications for shock and shale fracturing. In Shale Energy Engineering 2014: Technical Challenges, Environmental Issues, and Public Policy - Proceedings of the 2014 Shale Energy Engineering Conference (pp. 144-150). American Society of Civil Engineers (ASCE). https://doi.org/10.1061/9780784413654.015