反应区中炸药本构关系式的整体标定方法

GLOBAL CALIBRATION METHOD OF THE CONSTITUTIVE RELATIONSHIP IN AN EXPLOSIVE REACTION ZONE

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 constitutive relationship for describing the properties in an explosive reaction zone consists of the chemical reaction rate equation, equations of state of the explosive and products, and laws governing their mixing. In this paper, a global calibration method is proposed, that is, using the results of Lagrange tests and Lagrange analysis to calibrate the constitutive relationship of an explosive. In order to show the effectiveness of this method, we have calibrated five constitutive relationships of TNT and TATB at different physical-mechanical conditions. These relationships have directly been used in 1-D and 2-D numerical simulations. They simulated fairly well the records of tests, and no coefficients of constitutive relationship were adjusted. This method is a quick and economical way for the calibration of the constitutive relationship of explosives, The calibration process depicts a clear physical picture and its errors can be estimated. During the calibration, not only the coefficients of the rate equation are determined, but the consistency among these equations, which constitutes the constitutive relationship of explosives, is established at the same time.