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

Abstract

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.

Authors:
; ; ;
Publication Date:
Research Org.:
Los Alamos National Lab., NM (United States)
Sponsoring Org.:
USDOE, Washington, DC (United States)
OSTI Identifier:
548630
Report Number(s):
LA-UR-97-3024; CONF-970707-
ON: DE98000975; TRN: AHC29724%%31
DOE Contract Number:  
W-7405-ENG-36
Resource Type:
Conference
Resource Relation:
Conference: 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; Other Information: PBD: [1997]
Country of Publication:
United States
Language:
English
Subject:
45 MILITARY TECHNOLOGY, WEAPONRY, AND NATIONAL DEFENSE; CHEMICAL EXPLOSIVES; ENERGY LOSSES; COMPACTING; MATHEMATICAL MODELS; STRESS RELAXATION; DETONATION LIMITS

Citation Formats

Gonthier, K A, Menikoff, R, Son, S F, and Asay, B W. Modeling energy dissipation induced by quasi-static compaction of granular HMX. United States: N. p., 1997. Web.
Gonthier, K A, Menikoff, R, Son, S F, & Asay, B W. Modeling energy dissipation induced by quasi-static compaction of granular HMX. United States.
Gonthier, K A, Menikoff, R, Son, S F, and Asay, B W. Sat . "Modeling energy dissipation induced by quasi-static compaction of granular HMX". United States. https://www.osti.gov/servlets/purl/548630.
@article{osti_548630,
title = {Modeling energy dissipation induced by quasi-static compaction of granular HMX},
author = {Gonthier, K A and Menikoff, R and Son, S F and Asay, B W},
abstractNote = {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.},
doi = {},
url = {https://www.osti.gov/biblio/548630}, journal = {},
number = ,
volume = ,
place = {United States},
year = {1997},
month = {11}
}

Conference:
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