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Predictions for the Impact of a Granular Solid Having Spatially Non-uniform Bulk Porosity

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Abstract

Continuum equations are numerically integrated using a high-resolution method to characterize the thermomechanical response due to planar impact of initially stress-free granular solid having spatially varying bulk porosity. This response depends on strain history because the crush-up stress necessary for inelastic compaction increases with initial solid volume fraction (ϕ0). Emphasis is placed on characterizing the influence of initial porosity and piston speed on both the grain surface heat flux variation and peak temperature rise within compaction wave profiles for the granular explosive HMX (C4H8N8O8). Heat fluxes near 586 MW/m2, resulting in temperature rises in excess of 400 K, are predicted for weak compaction of granular HMX having an initially dense region adjacent to a highly porous region (ϕ0=0.99, 0.655). Phenomena associated with reflected and transmitted waves from material interfaces are highlighted. Predicted compaction zone end states and heat flux profiles are shown to agree well with those given by a steady-state theory.

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Author notes

  1. Carey F. Cox

    Present address: Lockheed Martin Aeronautics Company, Fort Worth, TX, USA

Authors and Affiliations

  1. Mechanical Engineering Department, Louisiana State University, Baton Rouge, LA, 70803, USA

    Keith A. Gonthier

  2. Mechanical Engineering Department, Louisiana Tech University, Ruston, LA, 71272, USA

    Carey F. Cox

Authors
  1. Keith A. Gonthier
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  2. Carey F. Cox
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Correspondence to Keith A. Gonthier.

Additional information

Revised manuscript submitted to Computational Mechanics, November, 2005.

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Gonthier, K.A., Cox, C.F. Predictions for the Impact of a Granular Solid Having Spatially Non-uniform Bulk Porosity. Comput Mech 39, 419–437 (2007). https://doi.org/10.1007/s00466-006-0040-2

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  • DOI: https://doi.org/10.1007/s00466-006-0040-2

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