Porous Materials Under Shock Loading as a Two-Phase Mixture: The Effect of the Interstitial Air

[+] Author and Article Information
A. D. Resnyansky

Defence Science and Technology Group,
Edinburgh 5111, SA, Australia
e-mail: anatoly.resnyansky@dsto.defence.gov.au

Contributed by the Fluids Engineering Division of ASME for publication in the JOURNAL OF FLUIDS ENGINEERING. Manuscript received December 1, 2016; final manuscript received July 27, 2017; published online December 22, 2017. Assoc. Editor: Ben Thornber.This work was prepared while under employment by the Government of Australia as part of the official duties of the author(s) indicated above, as such copyright is owned by that Government, which reserves its own copyright under national law.

J. Fluids Eng 140(5), 050903 (Dec 22, 2017) (8 pages) Paper No: FE-16-1786; doi: 10.1115/1.4038398 History: Received December 01, 2016; Revised July 27, 2017

Deformation and mixing of solid particles in porous materials are typical consequences under shock compression and are usually considered as the major contributors to energy dissipation during shock compression while a contribution from the interaction between the solid and gaseous phases attracts less attention. The present work illustrates the phase interaction process by mesomechanical hydrocode modeling under different conditions of the interstitial gaseous phase. A two-phase analytical approach focusing on the role of thermal nonequilibrium between the phases and an advanced two-phase model complement the mesomechanical analysis by demonstrating a similar trend due to the effect of pressure in the interstitial air.

Copyright © 2018 by ASME
Your Session has timed out. Please sign back in to continue.


Zeldovich, Y. B. , and Raiser, Y. P. , 1967, Physics of Shock Waves and High Temperature Hydrodynamic Phenomena, Academic Press, New York.
Vogler, T. J. , Lee, M. Y. , and Grady, D. E. , 2007, “ Static and Dynamic Compaction of Ceramic Powders,” Int. J. Solids Struct., 44(2), pp. 636–658. [CrossRef]
Arlery, M. , Gardou, M. , Fleureau, J. M. , and Mariotti, C. , 2010, “ Dynamic Behaviour of Dry and Water-Saturated Sand Under Planar Shock Conditions,” Int. J. Impact Eng., 37(1), pp. 1–10. [CrossRef]
Resnyansky, A. D. , and Bourne, N. K. , 2004, “ Shock-Wave Compression of a Porous Material,” J. Appl. Phys., 95(4), pp. 1760–1769. [CrossRef]
Neal, W. D. , Chapman, D. J. , and Proud, W. G. , 2012, “ Shock-Wave Stability in Quasi-Mono-Disperse Granular Materials,” Eur. Phys. J.: Appl. Phys., 57(3), p. 031001. [CrossRef]
Trunin, R. F. , Simakov, G. V. , Sutulov, Y. N. , Medvedev, A. B. , Rogozhkin, B. D. , and Fedorov, Y. E. , 1989, “ Compressibility of Porous Metals in Shock Waves,” Sov. Phys. JETP, 69(3), pp. 580–588. http://www.jetp.ac.ru/cgi-bin/dn/e_069_03_0580.pdf
Trunin, R. F. , Simakov, G. V. , and Podurets, M. A. , 1971, “ Compression of Porous Quartz by Strong Shock Waves,” Izv. Earth Phys., (2), pp. 102–106.
van Thiel, M. , Shaner, J. , and Salinas, E. , eds., 1977, “ Compendium of Shock Wave Data,” University of California, Livermore, CA, Report No. UCRL-50108. http://www.dtic.mil/dtic/tr/fulltext/u2/b041507.pdf
Lotrich, V. F. , Akashi, T. , and Sawaoka, A. B. , 1986, “ A Model Describing the Inhomogeneous Temperature Distribution During Dynamic Compaction of Ceramic Powders,” Metallurgical Applications of Shock-Wave and High-Strain Rate Phenomena, L. E. Murr , K. P. Staudhammer , and M. A. Meyers , eds., Marcel Dekker, Inc., New York, pp. 277–292.
Williamson, R. L. , 1998, “ Parametric Studies of Dynamic Powder Consolidation Using a Particle-Level Numerical Model,” J. Appl. Phys., 68(3), pp. 1287–1296. [CrossRef]
Kobayashi, T. , 2013, “ Radiation of Light From Powder Materials Under Shock Compression,” Chem. Phys. Lett., 565, pp. 35–39. [CrossRef]
Resnyansky, A. D. , 2010, “ Constitutive Modeling of Shock Response of Phase-Transforming and Porous Materials With Strength,” J. Appl. Phys., 108(8), p. 083534. [CrossRef]
Resnyansky, A. D. , 2016, “ Two-Zone Hugoniot for Porous Materials,” Phys. Rev. B, 93(5), p. 054103. [CrossRef]
Britan, A. , Shapiro, H. , Liverts, M. , Ben-Dor, G. , Chinnayya, A. , and Hadjadj, A. , 2013, “ Macromechanical Modelling of Blast Wave Mitigation in Foams—Part I: Review of Available Experiments and Models,” Shock Waves, 23(1), pp. 5–23. [CrossRef]
Romenski, E. , Resnyansky, A. D. , and Toro, E. F. , 2007, “ Conservative Hyperbolic Formulation for Compressible Two-Phase Flow With Different Phase Pressures and Temperatures,” Quart. Appl. Math., 65(2), pp. 259–279. [CrossRef]
Bell, R. L. , Baer, M. R. , Brannon, R. M. , Crawford, D. A. , Elrick, M. G. , Hertel , E. S., Jr., Schmitt , R. G. , Silling, S. A. , and Taylor, P. A. , 2006, CTH User's Manual and Input Instructions Version 7.1, Sandia National Laboratories, Albuquerque, NM.
Resnyansky, A. D. , 2012, “CTH Implementation of a Two-Phase Material Model With Strength: Application to Porous Materials,” Defence Science and Technology Organisation, Edinburgh, Australia, Report No. DSTO-TR-2728. http://dspace.dsto.defence.gov.au/dspace/handle/dsto/10507
Resnyansky, A. D. , 2008, “ Constitutive Modelling of Hugoniot for a Highly Porous Material,” J. Appl. Phys., 104(9), p. 093511. [CrossRef]
Dwivedi, S. K. , Pei, L. , and Teeter, R. , 2015, “ Two-Dimensional Mesoscale Simulations of Shock Response of Dry Sand,” J. Appl. Phys., 117(8), p. 085902. [CrossRef]
Steinberg, D. J. , Cochran, S. G. , and Guinan, M. W. , 1980, “ A Constitutive Model for Metals Applicable at High-Strain Rate,” J. Appl. Phys., 51(3), pp. 1498–1504. [CrossRef]
Taylor, P. A. , 1992, “CTH Reference Manual: The Steinberg-Guinan-Lund Viscoplastic Model,” Sandia National Laboratories, Albuquerque, NM, Report No. SAND 92-0716.
Johnson, J. D. , 1994, “The SESAME Database,” Los Alamos National Laboratory, Los Alamos, NM, Report No. LA-UR-94-1451.
Sun, J. , Battaglia, F. , and Subramaniam, S. , 2007, “ Hybrid Two-Fluid DEM Simulation of Gas-Solid Fluidized Beds,” ASME J. Fluids Eng., 129(11), pp. 1394–1403. [CrossRef]
Trunin, R. F. , 1998, Shock Compression of Condensed Materials, Cambridge University Press, Cambridge, UK. [CrossRef]


Grahic Jump Location
Fig. 7

Contours of plates and inclusions from a 2D mesomechanical calculation along with temperature indicators at t = 1 μs after impact for samples with rectangular (upper row) and cylindrical (lower row) inclusions at the reduced (a), normal (b), and elevated (c) initial pressure in the interstitial air

Grahic Jump Location
Fig. 6

1D numerical analysis of the mesoscale consideration

Grahic Jump Location
Fig. 5

Free surface velocities of the anvil plate from 1D mesomechanical numerical analysis using sesame (a), sesame with twice number of layers (b), and Mie–Grüneisen (c) EOSs

Grahic Jump Location
Fig. 4

1D mesomechanical representation of the problem

Grahic Jump Location
Fig. 3

Schematic of the problem setup

Grahic Jump Location
Fig. 2

Shock diagram of the impedance match Hugoniot test

Grahic Jump Location
Fig. 1

Schematic of a setup of the impedance match method

Grahic Jump Location
Fig. 11

Temperature profiles in a section of the setup containing the porous sample calculated with 1D two-phase numerical analysis for the cases of fast (upper row) and slow (lower row) heat exchange at the reduced (a), normal (b), and elevated (c) pressures in the interstitial air

Grahic Jump Location
Fig. 8

Free surface velocities of the anvil plate from the 2D mesomechanical numerical analysis for samples with rectangular (a), cylindrical (b), and interconnected (c) inclusions

Grahic Jump Location
Fig. 10

The TOA results of 1D two-phase numerical analysis of the mesoscale consideration

Grahic Jump Location
Fig. 9

Analytical composite Hugoniots for the porous fused quartz at three pressures in the interstitial air




Some tools below are only available to our subscribers or users with an online account.

Related Content

Customize your page view by dragging and repositioning the boxes below.

Related Journal Articles
Related eBook Content
Topic Collections

Sorry! You do not have access to this content. For assistance or to subscribe, please contact us:

  • TELEPHONE: 1-800-843-2763 (Toll-free in the USA)
  • EMAIL: asmedigitalcollection@asme.org
Sign In