Geodesic
Equations of state for calculating shock wave compression temperatures of molecular crystal
Vestnik Ûžno-Uralʹskogo gosudarstvennogo universiteta. Seriâ, Matematika, mehanika, fizika, Tome 16 (2024) no. 2, pp. 86-92 Cet article a éte moissonné depuis la source Math-Net.Ru

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The paper analyzes the equations of state of energy-related materials, which are molecular crystals, to define the optimal equation of state for determining the shock wave compression temperatures of these materials. The analysis of the cold pressure component showed that its form allows reproducing the known experimental data for triaminotrinitrobenzene (TATB) and pentaerythritol tetranitrate (PETN) with high accuracy. No shock adiabat can be constructed in a wide range of pressures because detonation is initiated for energy-related materials during shock wave compression. The paper tests an algorithm for constructing shock adiabats using experimental data on TATB and PETN isothermal compression. A comparison of experimental and calculated shock adiabats for PETN showed their alignment with the accuracy of the experimental error. The paper uses the example of TATB and PETN to propose an approach for determining the shock wave compression temperatures of energy-related materials by calculating the propagation of a steady shock wave in them. The proposed approach allows constructing shock adiabats of energy-related materials and analyzing the influence of various expressions to describe the dependence of heat capacity at constant volume on temperature by the value of the shock wave compression temperature of energy-related materials.
Keywords: shock compression, shock adiabat, temperature.
Mots-clés : isothermal compression 
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Yu. M. Kovalev; M. A. Shestakov. Equations of state for calculating shock wave compression temperatures of molecular crystal. Vestnik Ûžno-Uralʹskogo gosudarstvennogo universiteta. Seriâ, Matematika, mehanika, fizika, Tome 16 (2024) no. 2, pp. 86-92. http://geodesic.mathdoc.fr/item/VYURM_2024_16_2_a8/

[1] Kanel' G.I., Razorenov S.V., Utkin A.V., Fortov V.E., Shock-Wave Phenomena in Condensed Media, Yanus-K, M., 1996, 407 pp. (in Russ.)

[2] Kovalev Y.M., “Equations of State to Describe Isothermal Compression of Certain Molecular Nitro Compound Crystals”, Journal of Engineering Physics and Thermophysics, 93:1 (2020), 223–233 | DOI

[3] Kovalev Yu.M., Pomykalov E.V., “Equations of State for Calculating the Pressures of Shock-Wave Compression of Pentaerythritol Tetranitrate (PETN)”, Journal of Engineering Physics and Thermophysics, 96:4 (2023), 1052–1059 | DOI

[4] L.L. Stevens, N. Velisavljevic , D.E. Hooks, D.M. Dattelbaum, “Hydrostatic Compression Curve for Triamino - Trinitrobenzene Determined to 13,0 GPa with Powder X- Ray Diffraction”, Propellants, Explos. Pyrotech., 33:4 (2008), 286–295 | DOI

[5] H.H Cady, A.C. Larson, “Cady, H.H.The Crystal Structure of 1,3,5 - triamino - 2,4,6 - trinitrobenzene”, Acta Cyst., 18 (1965), 485–496 | DOI

[6] B. Olinger, P.M. Halleck, H.H. Cady, “Olinger, B. The isothermal linear and volume compression of pentaerythritol tetranitrate (PETN) t 10 GPa (100 kbar) and the calculated shock compression”, J. Chem. Phys., 62:11 (1975), 4480–4483 | DOI

[7] S.P. Marsh, Lasl Shock Hungoniot Data, Los Alamos Scientific Laboratory Series on Dynamic Material Properties, 5, University of California Press, 1980

[8] Kovalev Y.M., Kuropatenko V.F., “Determination of the Temperature Dependence of Heat Capacity for Some Molecular Crystals of Nitro Compounds”, Journal of Engineering Physics and Thermophysics, 91:2 (2018), 278–287 | DOI | MR

[9] Shchetinin V.G., “Calculation of the Heat Capacity of Organic Substances in Shock and Detonation Waves”, Khimicheskaya fizika, 18:5 (1999), 90–95 (in Russ.)