物理学报2016，Vol.65Issue(10)：106401-1-106401-7,7.DOI:10.7498/aps.65.106401
炸药爆轰产物Jones-Wilkins-Lee状态方程不确定参数∗
Uncertain parameters of Jones-Wilkin-Lee equation of state for detonation pro ducts of explosive
摘要
Abstract
Equation of state of detonation products possesses various types of mathematical expressions which describe the relation between pressure and volume. Jones-Wilkin-Lee (JWL) equation of state is a widely used equation of state of detonation products because of its simplicity in hydrodynamic calculations. The JWL equation of state may accurately describe the process of expansion drive of detonation products. The JWL equation of state contains parameters, and describe the relation among the volume, energy and pressure of detonation products. These parameters may be deter-mined by detonation experimental data and numerical method. Traditional numerical method is adjusting parameters based on experimental data and numerical experience. Obviously, artificial ingredient may affect the calibrating result in traditional method. This paper uses the Bayesian method to determine the unknown (uncertain) parameter of JWL equation of state for detonation products. The method can calibrate the uncertain parameters based on the known parameter information, the experimental and simulating data. The results of the paper are consistent with those in the reference papers. By theoretical analysis the calibration result accords with the physical signification of the parameters of JWL equation of state. The epistemic uncertainty is slightly reduced. The calibration result collects all the parameter information in the prior parameter information, experimental data and numerical results. The experimental data are totally included in a 90% confidence interval of simulation. The numerical result shows that this method can be used to study the uncertain parameter of JWL equation of state for some sample explosives. Especially, the method reduces the artificial ingredient in the parameter calibration.关键词
炸药爆轰产物/Jones-Wilkins-Lee状态方程/不确定参数/贝叶斯分析Key words
detonation products/Jones-Wilkin-Lee equation of state/uncertain parameters/Bayesian inference引用本文复制引用
王言金,张树道,李华,周海兵..炸药爆轰产物Jones-Wilkins-Lee状态方程不确定参数∗[J].物理学报,2016,65(10):106401-1-106401-7,7.基金项目
国家自然科学基金(批准号:11371069,11372052,11472060)、北京应用物理与计算数学研究所所长基金(批准号：ZYSZ1518-13)和中国工程物理研究院科学技术发展基金(批准号:2013A0101004)资助的课题 （批准号:11371069,11372052,11472060）
