A New High Order Virial Equation of State and Its Application in the Chapman‐Jouguet Parameters Calculation of Explosives

Peng, Yue; Long, Xinping; Jiang, Xiaohua; Zhang, zhiming

doi:10.1002/prep.202100371

Cited by 3 publications

(1 citation statement)

References 40 publications

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“…Thermochemical equations of state such as BKW [ 8 ], WCA [ 9 ], and VLW [ 10 ] consider the chemical reaction process and composition change. Although such equations of state are widely used in basic scientific calculations, their computational intensity impedes their application in finite or discrete element programs aiming to characterize explosive work capacity [ 11 , 12 , 13 , 14 , 15 ]. Thus, by calibrating coefficients of semi-empirical equations of state via the chemical reaction perspective both computational efficiency and reliability can be taken into account.…”

Section: Introductionmentioning

confidence: 99%

Investigation of the Fracture and Fragmentation of Implosively Driven Thin-Walled Cylindrical Shell: From Thermodynamic Analysis to CDEM Simulation

Ou¹,

Yuan²,

Jiao³

et al. 2023

Materials

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The scattering of fragments is a notable characteristic of the explosive detonation of a shelled charge. This study examines the fracture and fragmentation of the shell and the process by which natural fragments form under the strains of implosion. The analysis takes into account both the explosive’s energy output and the casing’s dynamic response. For this purpose, utilizing a thermochemical code as an alternative to the conventionally employed cylinder test, the Jones–Wilkins–Lee equation of state (JWL EOS) was calibrated within a range of relative specific volume up to 13. The detonation of the shelled charge was subsequently analyzed using the continuum–discontinuum element method (CDEM). Following this, the formation mechanisms and scattering characteristics of natural fragments were scrutinized. The analysis found that the shell predominantly experiences shear failure with uniform evolution, displaying a “hysteresis effect” and two mutation stages in the evolution of tensile failure. Within the JWL EOS’s calibrated range, the representation of fragment displacement and velocity improved by 47.97% and 5.30%, respectively. This study provides valuable guidance for designing the power field of warheads and assessing their destructive power.

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Section: Introductionmentioning

confidence: 99%

Investigation of the Fracture and Fragmentation of Implosively Driven Thin-Walled Cylindrical Shell: From Thermodynamic Analysis to CDEM Simulation

Ou¹,

Yuan²,

Jiao³

et al. 2023

Materials

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Comparative study on the equation of state of detonation products

Miao,

Yao,

2024

AIP Advances

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The equation of state (EOS) for detonation products can predict explosive performance with basic information about density, enthalpy of formation, and elemental composition. However, to achieve higher prediction accuracy, it is necessary to select an appropriate EOS for the specific detonation parameters being calculated. To study the applicability of different equations of states for explosive products, five EOSs, Becker–Kistiakowsky–Wilson, Kihara–Hikita–Tanaka, Virial-Wu (VLW), Lennard-Jones–Devonshire (LJD), and Jacobs–Cowperthwaite–Zwisler (JCZ), were used to calculate the Hugoniot curve of nitrogen and the detonation performance of typical explosives. The calculation results show that all five EOSs can provide reasonably accurate predictions of the Hugoniot curve of nitrogen on the relative volume-pressure plane. Moreover, the EOSs can accurately predict the detonation velocity and pressure of explosives within a wide range of initial densities. When it comes to temperature calculations, LJD and JCZ demonstrate higher prediction accuracy. Additionally, the results indicate that VLW may not be suitable for calculating the overdriven detonation of explosives, particularly at higher pressures.

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Theoretical analysis and validation of the detonation wave interaction based on an overdriven detonation

Liu,

Bai

et al. 2024

Physics of Fluids

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The oblique collision and reflection of a detonation wave can lead to extremely high pressure and considerable dynamic load mixing in the resulting product, which has been a focus of research in detonation and defense applications. In this paper, the relationships among wave velocity, mass velocity, pressure, and the specific volume of detonation products (DPs) under overdriven detonation (ODD) conditions are analyzed. Additionally, the equations of state (EOS) of the ODD are calibrated by using real-coded genetic algorithms combined with experimental Hugoniot strong detonation data, and the effects of different DPs on pressure accuracy are assessed. Accordingly, a dynamic evolution model of detonation wave interactions in a collision zone is established, and theoretical calculations of regular and Mach reflections occurring after the interactions of typical condensed explosive [such as PBX9501 (95% HMX, 2.5% Estane, 2.5% BDNPA/F)] detonation waves are carried out. The results show that the overpressure Hugoniot data and the isentropic expansion line can be better fitted by using the JWL (Jones–Wilkins–Lee) + γ equation than other EOSs, and the deviation of the calculated pressure and the height of the Mach stem from the experimental value is within 5%. Additionally, a formula is derived for the slow-variable function k(ξ) by combining the improved Whitham method and the JWL + γ EOS, and a propagation law is obtained for the detonation wave interaction.

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A New High Order Virial Equation of State and Its Application in the Chapman‐Jouguet Parameters Calculation of Explosives

Cited by 3 publications

References 40 publications

Investigation of the Fracture and Fragmentation of Implosively Driven Thin-Walled Cylindrical Shell: From Thermodynamic Analysis to CDEM Simulation

Investigation of the Fracture and Fragmentation of Implosively Driven Thin-Walled Cylindrical Shell: From Thermodynamic Analysis to CDEM Simulation

Comparative study on the equation of state of detonation products

Theoretical analysis and validation of the detonation wave interaction based on an overdriven detonation

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