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}
}