Bulletin of the American Physical Society
21st Biennial Conference of the APS Topical Group on Shock Compression of Condensed Matter
Volume 64, Number 8
Sunday–Friday, June 16–21, 2019; Portland, Oregon
Session D1: DSIC: EOS, Sub-Detonation Response, Multi-shock: Models 1 |
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Chair: Samantha Clarke, LLNL Room: Grand Ballroom I |
Monday, June 17, 2019 2:00PM - 2:15PM |
D1.00001: An Improved Temperature-Dependent Specific Heat Model for Unreacted Explosive Equations of State Nicholas Kerschen, David Kittell The any Mie-Gr\"{u}neisen Equation of State (AMEOS) model in CTH was calibrated for four unreacted homogeneous explosives in temperature-volume space: HMX, TATB, PETN, and RDX. AMEOS uses a multi-term Einstein oscillator function to fit the specific heat over a range of temperature values. This model is then used to calculate the Hugoniot temperatures, which are much lower than for a constant specific heat approximation. Moreover, there is limited thermal EOS data which must be extrapolated to the classic Dulong-Petit limit. Mesoscale simulations with Arrhenius burn models require this type of EOS for accurate temperature predictions. The improvements with temperature dependent versus constant specific heats will be presented, in addition to the Einstein oscillator coefficients for the four high explosives considered. Sandia National Laboratories is a multimission laboratory managed and operated by National Technology and Engineering Solutions of Sandia LLC, a wholly owned subsidiary of Honeywell International Inc. for the U.S .Department of Energy's National Nuclear Security Administration under contract DE-NA0003525. [Preview Abstract] |
Monday, June 17, 2019 2:15PM - 2:30PM |
D1.00002: Unified Form EOS for Detonation Products based on relationship between initial density and detonation velocity Shiro Kubota, Tei Saburi, Kunihito Nagayama We have proposed the unified form EOS for detonation products, which employs Gruneisen $\Gamma $ as a specific volume in previous paper. When the relationship between the initial density and detonation velocity, and one C-J state and P-V isentrope line passing through the corresponding C-J point are known, the proposed method can be used to obtain Gruneisen $\Gamma $. In the report, the unified form EOSs are applied for SDT problems for PETN, and so on. [Preview Abstract] |
Monday, June 17, 2019 2:30PM - 2:45PM |
D1.00003: A Generalised Gruneisen Equation of State for Non-Reacted Explosives William Belfield, Brian Lambourn A condition for compatibility between the non-reacted (NR) and detonation products (DP) equations of state (EOS) in a reactive burn model is that the two EOS surfaces in pressure -- specific volume -- specific internal energy space should not cross.~ Crossovers can lead to hydrocode calculation failures or non-physical results. At any specific volume for a Mie-Gruneisen EOS, pressure is linear in specific internal energy, with a slope equal to the Gruneisen Gamma divided by the specific volume. This causes a problem when both EOS are of Mie-Gruneisen form, as experiments suggest that the Gruneisen Gamma for the NR EOS is greater than for the DP EOS, which inevitably leads to a crossover at positive pressures.~ Equally there is a problem when a Mie-Gruneisen NR EOS is combined with tabular data from a chemical equilibrium DP EOS, in which Gruneisen Gamma varies with pressure at each specific volume.~ This work describes a new Generalised Gruneisen form for an NR EOS, in which Gruneisen Gamma varies with entropy as well as specific volume.~ It is shown that the new EOS has the potential to avoid the crossover with the detonation products EOS, whether this is of Mie-Gruneisen or chemical equilibrium form. [Preview Abstract] |
Monday, June 17, 2019 2:45PM - 3:00PM |
D1.00004: Rice-Walsh equation of state for detonation product gases Kunihito Nagayama, Shiro Kubota We have established a differential equation for the non-dimensional material parameter, the Wu-Jing parameter $R$ introduced into the Rice-Walsh type equation of state (EOS) for detonation product gases of condensed phase high-explosive. This analysis is based on the empirical linear relationship between detonation velocity and loading density together with the assumption that the Wu-Jing parameter is a function of pressure alone. We obtained the Wu-Jing parameter along C-J states of arbitrary initial loading density of high explosives. It is found that behavior of this parameter $R$ as a function of pressure is revealed to change very gradually with pressure. Calculated C-J states as a function of initial density, including parameters such as adiabatic index at each C-J states coincides with our previous similar calculation assuming the Gr\"{u}neisen type EOS. In conclusion, the Rice-Walsh EOS with the Wu-Jing parameter as a function of pressure as well as the Gr\"{u}neisen EOS with the Gr\"{u}neisen parameter as a function of volume are not compatible with each other, but both are compatible with detonation velocity data for various initial densities. [Preview Abstract] |
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