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JOURNALS // Vestnik Yuzhno-Ural'skogo Gosudarstvennogo Universiteta. Seriya "Matematika. Mekhanika. Fizika" // Archive

Vestn. Yuzhno-Ural. Gos. Un-ta. Ser. Matem. Mekh. Fiz., 2024 Volume 16, Issue 2, Pages 86–92 (Mi vyurm600)

Physics

Equations of state for calculating shock wave compression temperatures of molecular crystal

Yu. M. Kovalev, M. A. Shestakov

South Ural State University, Chelyabinsk, Russian Federation

Abstract: 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, isothermal compression, temperature.

UDC: 662.237.5; 544.032; 538.953

Received: 26.02.2024

DOI: 10.14529/mmph240209



© Steklov Math. Inst. of RAS, 2024