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化学反应速率方程加上炸药和产物的状态方程以及混合法则构成了描述炸药反应区性态的本构关系式。本文提出了用一维拉氏实验和拉氏分析的结果对这种关系式进行整体标定的方法。为了表明本法的有效性,标定了TNT和TATB炸药在五种不同物理—力学状态下的本构关系式。将它们用于一维和二维数值模拟计算,在不调整任何本构关系式参数的情况下,较好地模拟了实验结果。整体标定法的优点是省时,经济,物理图象清晰,可进行误差分析,并在标定化学反应速率方程的同时,它与构成本构关系式的其他方程之间的相容性也随之确定。
The chemical reaction rate equation, the equation of state of the explosive and the product, and the mixing law form the constitutive equation describing the behavior of the explosive reaction zone. In this paper, a method of global calibration of this relation is proposed based on the results of one-dimensional Laplace experiment and Laplace analysis. In order to demonstrate the validity of this method, the constitutive equations of TNT and TATB explosives under five different physico-mechanical states were calibrated. Using them in one-dimensional and two-dimensional numerical simulation, the experimental results are well simulated without adjusting any parameters of the constitutive equation. The advantages of monolithic calibration are time-saving, economic, and physical image clarity, error analysis, and the calibration of the chemical reaction rate equation, along with its compatibility with other equations that make up the constitutive equation determine.