cylinder test, JWL equation of state, detonation products, parameter identification, energy balance, dimensionality reduction
Abstract
his article presents a method for determining the six parameters of the Jones–Wilkins–Lee (JWL) equation of state for detonation products based on cylinder test results. Unlike classical approaches that require simultaneous optimization of all six parameters, the proposed method simplifies the problem by reducing it to a three-dimensional search space of R1, R2, ω, followed by the analytical calculation of the coefficients A, B, and C from a system of linear algebraic equations based on the Chapman–Jouguet conditions. Three different functions are used to approximate the experimental expansion curve of a cylindrical tube, with the best one selected by the least squares method. Physically justified constraints are introduced on the parameters to ensure correct isentropic behavior over the entire expansion range of detonation products. The method is validated using four explosives: PETN, Comp B, Nitromethane, and Cyclotol. Comparison with literature data and numerical simulations of cylinder expansion confirm the high accuracy of the obtained parameters.
Author Biographies
Shestakovskaya Elena Sergeevna, South Ural State University, Chelyabinsk
Cand. Sc. (Physics and Mathematics), Associate Professor, Head of the Department of Computational Mechanics
Starikov Yaroslav Evgenievich, South Ural State University, Chelyabinsk
Post-graduate student, Lecturer, Department of Computational Mechanics
