Modeling energy dissipation induced by quasi-static compaction of granular HMX

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A simple extension of a conventional two-phase (inert gas and reactive solid) continuum model of Deflagration-to-Detonation Transition (DDT) in energetic granular material is given to account for energy dissipation induced by quasi-static compaction. To this end, the conventional model equations,, valid in the limit of negligible gas phase effects, are supplemented by a relaxation equation governing irreversible changes in solid volume fraction due to intergranular friction, plastic deformation of granules, and granule fracture. The proposed model constitutes a non-strictly hyperbolic system of equations, and is consistent with the Second Law of Thermodynamics for a two-phase mixture. The model predicts stress ... continued below

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6 p.

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Gonthier, K.A.; Menikoff, R.; Son, S.F. & Asay, B.W. November 1, 1997.

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Description

A simple extension of a conventional two-phase (inert gas and reactive solid) continuum model of Deflagration-to-Detonation Transition (DDT) in energetic granular material is given to account for energy dissipation induced by quasi-static compaction. To this end, the conventional model equations,, valid in the limit of negligible gas phase effects, are supplemented by a relaxation equation governing irreversible changes in solid volume fraction due to intergranular friction, plastic deformation of granules, and granule fracture. The proposed model constitutes a non-strictly hyperbolic system of equations, and is consistent with the Second Law of Thermodynamics for a two-phase mixture. The model predicts stress relaxation and substantial dissipation induced by quasi-static compaction; such phenomena are commonly observed in quasi-static compaction experiments for granular HMX. Predicted intergranular stress histories compare well with experimental data.

Physical Description

6 p.

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OSTI as DE98000975

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  • Meeting of the topical group on shock compression of condensed matter of the American Physical Society, Amherst, MA (United States), 27 Jul - 1 Aug 1997

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  • Other: DE98000975
  • Report No.: LA-UR--97-3024
  • Report No.: CONF-970707--
  • Grant Number: W-7405-ENG-36
  • Office of Scientific & Technical Information Report Number: 548630
  • Archival Resource Key: ark:/67531/metadc694665

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  • November 1, 1997

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  • Aug. 14, 2015, 8:43 a.m.

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  • Feb. 29, 2016, 4:16 p.m.

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Gonthier, K.A.; Menikoff, R.; Son, S.F. & Asay, B.W. Modeling energy dissipation induced by quasi-static compaction of granular HMX, article, November 1, 1997; New Mexico. (digital.library.unt.edu/ark:/67531/metadc694665/: accessed September 24, 2017), University of North Texas Libraries, Digital Library, digital.library.unt.edu; crediting UNT Libraries Government Documents Department.