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《Acta Armamentarii》 1991-04
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Huan Shi (National University of Defense Technology) Ding Jing (Beijing Institute of Technology)  
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.
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