Generalized continuum mixture theory for multi-material shock physics

Schumacher, Shane C.; Baer, Melvin R.

doi:10.1016/j.ijmultiphaseflow.2021.103790

Title: Generalized continuum mixture theory for multi-material shock physics

Authors:: Schumacher, Shane C.; Baer, Melvin R.

Publication Date:: 2021-11-01

Sponsoring Org.:: USDOE

OSTI Identifier:: 1814222

Resource Type:: Publisher's Accepted Manuscript

Journal Name:: International Journal of Multiphase Flow

Additional Journal Information:: Journal Name: International Journal of Multiphase Flow Journal Volume: 144 Journal Issue: C; Journal ID: ISSN 0301-9322

Publisher:: Elsevier

Country of Publication:: United Kingdom

Language:: English

Citation Formats


                    Schumacher, Shane C., and Baer, Melvin R. Generalized continuum mixture theory for multi-material shock physics.  United Kingdom: N. p., 2021. 
Web.  doi:10.1016/j.ijmultiphaseflow.2021.103790.

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                    Schumacher, Shane C., & Baer, Melvin R. Generalized continuum mixture theory for multi-material shock physics.  United Kingdom.  https://doi.org/10.1016/j.ijmultiphaseflow.2021.103790

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                    Schumacher, Shane C., and Baer, Melvin R. Mon .  
"Generalized continuum mixture theory for multi-material shock physics".  United Kingdom.  https://doi.org/10.1016/j.ijmultiphaseflow.2021.103790.

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@article{osti_1814222,

  title        = {Generalized continuum mixture theory for multi-material shock physics},

  author       = {Schumacher, Shane C. and Baer, Melvin R.},

  abstractNote = {},

  doi          = {10.1016/j.ijmultiphaseflow.2021.103790},

  journal      = {International Journal of Multiphase Flow},

  number       = C,

  volume       = 144,

  place        = {United Kingdom},

  year         = {2021},

  month        = {11}

}

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Works referenced in this record:

Thermodynamics of mixtures of reacting and non-reacting fluids with heat conduction, diffusion and viscosity
journal, March 1997

Samohýl, Ivan
International Journal of Non-Linear Mechanics, Vol. 32, Issue 2
DOI: 10.1016/S0020-7462(96)00060-1

A Multiphase Godunov Method for Compressible Multifluid and Multiphase Flows
journal, April 1999

Saurel, Richard; Abgrall, Rémi
Journal of Computational Physics, Vol. 150, Issue 2
DOI: 10.1006/jcph.1999.6187

Mathematical analysis of a two-phase continuum mixture theory
journal, January 1992

Embid, P.; Baer, M.
Continuum Mechanics and Thermodynamics, Vol. 4, Issue 4
DOI: 10.1007/BF01129333

A multi-phase theory for the detonation of granular explosives containing an arbitrary number of solid components
journal, December 2015

Crochet, Michael W.; Gonthier, Keith A.
International Journal of Multiphase Flow, Vol. 77
DOI: 10.1016/j.ijmultiphaseflow.2015.08.004

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

Constitutive Equation for the Dynamic Compaction of Ductile Porous Materials
journal, May 1969

Herrmann, W.
Journal of Applied Physics, Vol. 40, Issue 6
DOI: 10.1063/1.1658021

Two-phase modeling of deflagration-to-detonation transition in granular materials: Reduced equations
journal, October 2001

Kapila, A. K.; Menikoff, R.; Bdzil, J. B.
Physics of Fluids, Vol. 13, Issue 10
DOI: 10.1063/1.1398042

A two-phase mixture theory for the deflagration-to-detonation transition (ddt) in reactive granular materials
journal, November 1986

Baer, M. R.; Nunziato, J. W.
International Journal of Multiphase Flow, Vol. 12, Issue 6
DOI: 10.1016/0301-9322(86)90033-9

Discrete equations for physical and numerical compressible multiphase mixtures
journal, April 2003

Abgrall, Rémi; Saurel, Richard
Journal of Computational Physics, Vol. 186, Issue 2
DOI: 10.1016/S0021-9991(03)00011-1

Modelling dynamic and irreversible powder compaction
journal, November 2010

Saurel, Richard; Favrie, N.; Petitpas, F.
Journal of Fluid Mechanics, Vol. 664
DOI: 10.1017/S0022112010003794

The thermochemistry of a reacting mixture of elastic materials with diffusion
journal, January 1969

Bowen, Ray M.
Archive for Rational Mechanics and Analysis, Vol. 34, Issue 2
DOI: 10.1007/BF00247461

On ideal multiphase mixtures with chemical reactions and diffusion
journal, December 1980

Nunziato, Jace W.; Walsh, Edward K.
Archive for Rational Mechanics and Analysis, Vol. 73, Issue 4
DOI: 10.1007/BF00247672

Continuum Theories of Mixtures: Basic Theory and Historical Development
journal, January 1976

Atkin, R. J.; Craine, R. E.
The Quarterly Journal of Mechanics and Applied Mathematics, Vol. 29, Issue 2
DOI: 10.1093/qjmam/29.2.209

A theory of mixtures
journal, January 1967

Green, A. E.; Naghdi, P. M.
Archive for Rational Mechanics and Analysis, Vol. 24, Issue 4
DOI: 10.1007/BF00283776

Modelling detonation waves in heterogeneous energetic materials
journal, May 2004

Chinnayya, Ashwin; Daniel, Eric; Saurel, Richard
Journal of Computational Physics, Vol. 196, Issue 2
DOI: 10.1016/j.jcp.2003.11.015

Simple and efficient relaxation methods for interfaces separating compressible fluids, cavitating flows and shocks in multiphase mixtures
journal, March 2009

Richard Saurel, ; Petitpas, Fabien; Berry, Ray A.
Journal of Computational Physics, Vol. 228, Issue 5
DOI: 10.1016/j.jcp.2008.11.002

A Multifield Model and Method for Metal-Loaded High Explosives
journal, October 2010

Kashiwa, B. A.; Hull, L. M.
Journal of Energetic Materials, Vol. 28, Issue sup1
DOI: 10.1080/07370651003776991

A thermodynamic theory of mixtures of fluids
journal, January 1968

Müller, Ingo
Archive for Rational Mechanics and Analysis, Vol. 28, Issue 1
DOI: 10.1007/BF00281561

Dynamics of Dusty Gases
journal, January 1970

Marble, F. E.
Annual Review of Fluid Mechanics, Vol. 2, Issue 1
DOI: 10.1146/annurev.fl.02.010170.002145

Thermodynamics with Internal State Variables
journal, July 1967

Coleman, Bernard D.; Gurtin, Morton E.
The Journal of Chemical Physics, Vol. 47, Issue 2
DOI: 10.1063/1.1711937

Diffusion in mixtures of elastic materials
journal, July 1969

Bowen, R. M.; Wiese, J. C.
International Journal of Engineering Science, Vol. 7, Issue 7
DOI: 10.1016/0020-7225(69)90048-2

Predictions for weak mechanical ignition of strain hardened granular explosive
journal, April 2004

Gonthier, Keith A.
Journal of Applied Physics, Vol. 95, Issue 7
DOI: 10.1063/1.1650884

On theories for reacting immiscible mixtures
journal, February 2000

Drumheller, D. S.
International Journal of Engineering Science, Vol. 38, Issue 3
DOI: 10.1016/S0020-7225(99)00047-6

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Similar Records

Title: Generalized continuum mixture theory for multi-material shock physics

Citation Formats

Thermodynamics of mixtures of reacting and non-reacting fluids with heat conduction, diffusion and viscosity journal, March 1997

A Multiphase Godunov Method for Compressible Multifluid and Multiphase Flows journal, April 1999

Mathematical analysis of a two-phase continuum mixture theory journal, January 1992

A multi-phase theory for the detonation of granular explosives containing an arbitrary number of solid components journal, December 2015

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

Constitutive Equation for the Dynamic Compaction of Ductile Porous Materials journal, May 1969

Two-phase modeling of deflagration-to-detonation transition in granular materials: Reduced equations journal, October 2001

A two-phase mixture theory for the deflagration-to-detonation transition (ddt) in reactive granular materials journal, November 1986

Discrete equations for physical and numerical compressible multiphase mixtures journal, April 2003

Modelling dynamic and irreversible powder compaction journal, November 2010

The thermochemistry of a reacting mixture of elastic materials with diffusion journal, January 1969

On ideal multiphase mixtures with chemical reactions and diffusion journal, December 1980

Continuum Theories of Mixtures: Basic Theory and Historical Development journal, January 1976

A theory of mixtures journal, January 1967

Modelling detonation waves in heterogeneous energetic materials journal, May 2004

Simple and efficient relaxation methods for interfaces separating compressible fluids, cavitating flows and shocks in multiphase mixtures journal, March 2009

A Multifield Model and Method for Metal-Loaded High Explosives journal, October 2010

A thermodynamic theory of mixtures of fluids journal, January 1968

Dynamics of Dusty Gases journal, January 1970

Thermodynamics with Internal State Variables journal, July 1967

Diffusion in mixtures of elastic materials journal, July 1969

Predictions for weak mechanical ignition of strain hardened granular explosive journal, April 2004

On theories for reacting immiscible mixtures journal, February 2000

Thermodynamics of mixtures of reacting and non-reacting fluids with heat conduction, diffusion and viscosity
journal, March 1997

A Multiphase Godunov Method for Compressible Multifluid and Multiphase Flows
journal, April 1999

Mathematical analysis of a two-phase continuum mixture theory
journal, January 1992

A multi-phase theory for the detonation of granular explosives containing an arbitrary number of solid components
journal, December 2015

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

Constitutive Equation for the Dynamic Compaction of Ductile Porous Materials
journal, May 1969

Two-phase modeling of deflagration-to-detonation transition in granular materials: Reduced equations
journal, October 2001

A two-phase mixture theory for the deflagration-to-detonation transition (ddt) in reactive granular materials
journal, November 1986

Discrete equations for physical and numerical compressible multiphase mixtures
journal, April 2003

Modelling dynamic and irreversible powder compaction
journal, November 2010

The thermochemistry of a reacting mixture of elastic materials with diffusion
journal, January 1969

On ideal multiphase mixtures with chemical reactions and diffusion
journal, December 1980

Continuum Theories of Mixtures: Basic Theory and Historical Development
journal, January 1976

A theory of mixtures
journal, January 1967

Modelling detonation waves in heterogeneous energetic materials
journal, May 2004

Simple and efficient relaxation methods for interfaces separating compressible fluids, cavitating flows and shocks in multiphase mixtures
journal, March 2009

A Multifield Model and Method for Metal-Loaded High Explosives
journal, October 2010

A thermodynamic theory of mixtures of fluids
journal, January 1968

Dynamics of Dusty Gases
journal, January 1970

Thermodynamics with Internal State Variables
journal, July 1967

Diffusion in mixtures of elastic materials
journal, July 1969

Predictions for weak mechanical ignition of strain hardened granular explosive
journal, April 2004

On theories for reacting immiscible mixtures
journal, February 2000