Analysis of steady compaction waves in polyurea aerogel

Price, Matthew Anthony; Aslam, Tariq Dennis; Quirk, James J.

doi:10.1063/1.5044935

Title: Analysis of steady compaction waves in polyurea aerogel

Abstract

In this work, steady compaction waves in an inert porous material are investigated using a p - α model. In a steady traveling wave reference frame, the one-dimensional Euler equations are reduced to a set of ordinary differential equations. A Mie-Grüneisen equation of state (EOS) is used with parameters calibrated for polyurea aerogel (PUA). Analytic solutions for non-equilibrium compaction are developed which compliment numerical simulations and are able to predict the complete wave structure, including the compaction wave speed, zone length, and final compacted solid volume fraction. The dynamic compaction of PUA is studied for a range of piston velocities. Three regions of behavior are identified: supersonic, subsonic-complete, and subsonic-partial compaction. Below a critical piston velocity, a subsonic compaction wave is produced without a leading shock. Finally, at even lower piston velocities, there is partial compaction and a greater dependence on the dynamic compaction relation. Some features and limitations of the current model are discussed.

Authors:

^[1];

^[1]; Quirk, James J. ^[1]

Los Alamos National Lab. (LANL), Los Alamos, NM (United States)

Publication Date:: Tue Jul 03 00:00:00 EDT 2018

Research Org.:: Los Alamos National Lab. (LANL), Los Alamos, NM (United States)

Sponsoring Org.:: USDOE

OSTI Identifier:: 1565844

Report Number(s):: LA-UR-17-27337
Journal ID: ISSN 0094-243X

Grant/Contract Number:: 89233218CNA000001

Resource Type:: Accepted Manuscript

Journal Name:: AIP Conference Proceedings

Additional Journal Information:: Journal Volume: 1979; Conference: 20.Biennial APS Conference on Shock Compression of Condensed Matter (SCCM-2017), St. Louis, MO (United States), 9-14 July 2017; Journal ID: ISSN 0094-243X

Publisher:: American Institute of Physics (AIP)

Country of Publication:: United States

Language:: English

Subject:: 36 MATERIALS SCIENCE; shock; porous; compaction wave; analytic

Citation Formats


                    Price, Matthew Anthony, Aslam, Tariq Dennis, and Quirk, James J. Analysis of steady compaction waves in polyurea aerogel.  United States: N. p., 2018. 
Web.  doi:10.1063/1.5044935.

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                    Price, Matthew Anthony, Aslam, Tariq Dennis, & Quirk, James J. Analysis of steady compaction waves in polyurea aerogel.  United States.  https://doi.org/10.1063/1.5044935

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                    Price, Matthew Anthony, Aslam, Tariq Dennis, and Quirk, James J. Tue .  
"Analysis of steady compaction waves in polyurea aerogel".  United States.  https://doi.org/10.1063/1.5044935.  https://www.osti.gov/servlets/purl/1565844.

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@article{osti_1565844,

  title        = {Analysis of steady compaction waves in polyurea aerogel},

  author       = {Price, Matthew Anthony and Aslam, Tariq Dennis and Quirk, James J.},

  abstractNote = {In this work, steady compaction waves in an inert porous material are investigated using a p - α model. In a steady traveling wave reference frame, the one-dimensional Euler equations are reduced to a set of ordinary differential equations. A Mie-Grüneisen equation of state (EOS) is used with parameters calibrated for polyurea aerogel (PUA). Analytic solutions for non-equilibrium compaction are developed which compliment numerical simulations and are able to predict the complete wave structure, including the compaction wave speed, zone length, and final compacted solid volume fraction. The dynamic compaction of PUA is studied for a range of piston velocities. Three regions of behavior are identified: supersonic, subsonic-complete, and subsonic-partial compaction. Below a critical piston velocity, a subsonic compaction wave is produced without a leading shock. Finally, at even lower piston velocities, there is partial compaction and a greater dependence on the dynamic compaction relation. Some features and limitations of the current model are discussed.},

  doi          = {10.1063/1.5044935},

  journal      = {AIP Conference Proceedings},

  number       = ,

  volume       = 1979,

  place        = {United States},

  year         = {Tue Jul 03 00:00:00 EDT 2018},

  month        = {Tue Jul 03 00:00:00 EDT 2018}

}

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Works referenced in this record:

Analysis of Steady Compaction Waves in Porous Materials
journal, March 1989

Powers, J. M.; Stewart, D. S.; Krier, Herman
Journal of Applied Mechanics, Vol. 56, Issue 1
DOI: 10.1115/1.3176038

An equation of state for polyurea aerogel based on multi-shock response
journal, May 2014

Aslam, T. D.; Gustavsen, R. L.; Bartram, B. D.
Journal of Physics: Conference Series, Vol. 500, Issue 3
DOI: 10.1088/1742-6596/500/3/032001

Two-phase modeling of deflagration-to-detonation transition in granular materials: A critical examination of modeling issues
journal, February 1999

Bdzil, J. B.; Menikoff, R.; Son, S. F.
Physics of Fluids, Vol. 11, Issue 2
DOI: 10.1063/1.869887

Hugoniot based equation of state for solid polyurea and polyurea aerogels
conference, January 2017

Pacheco, A. H.; Gustavsen, R. L.; Aslam, T. D.
SHOCK COMPRESSION OF CONDENSED MATTER - 2015: Proceedings of the Conference of the American Physical Society Topical Group on Shock Compression of Condensed Matter, AIP Conference Proceedings
DOI: 10.1063/1.4971711

A single-phase analytic equation of state for solid polyurea and polyurea aerogels
conference, January 2018

Whitworth, Nicholas; Lambourn, Brian
SHOCK COMPRESSION OF CONDENSED MATTER - 2017: Proceedings of the Conference of the American Physical Society Topical Group on Shock Compression of Condensed Matter, AIP Conference Proceedings
DOI: 10.1063/1.5044777

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Title: Analysis of steady compaction waves in polyurea aerogel

Abstract

Citation Formats

Analysis of Steady Compaction Waves in Porous Materials journal, March 1989

An equation of state for polyurea aerogel based on multi-shock response journal, May 2014

Two-phase modeling of deflagration-to-detonation transition in granular materials: A critical examination of modeling issues journal, February 1999

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A single-phase analytic equation of state for solid polyurea and polyurea aerogels conference, January 2018

Analysis of Steady Compaction Waves in Porous Materials
journal, March 1989

An equation of state for polyurea aerogel based on multi-shock response
journal, May 2014

Two-phase modeling of deflagration-to-detonation transition in granular materials: A critical examination of modeling issues
journal, February 1999

Hugoniot based equation of state for solid polyurea and polyurea aerogels
conference, January 2017

A single-phase analytic equation of state for solid polyurea and polyurea aerogels
conference, January 2018