物理学报Issue(22)：1-5,5.DOI:10.7498/aps.63.224702
炸药爆轰的连续介质本构模型和数值计算方法
A continuum constitutive model and computational method of explosive detonation
摘要
Abstract
Some basic thermodynamic relationships are used to develop a theroretical framework for modeling the detonation in explosives, on the assumption that explosive and detonation product are in a local thermodynamic equilibrium state, i.e., their pressures and temperatures are identical. Using this framework, a continuum constitutive model for explosive detonation is composed of a group of ordinary differential equations including the state equations of explosive and its product, simple mixing law, reaction rate equation and energy conservation equation, which are easily solved by a mature computational method such as trapezoidal rule. A group of nonlinear constitutive equations in a generalized Maxwellian form describe the relationship among the time evolution rates of pressure and temperature, the strain rate, and the chemical reaction rate. Coefficients appearing in the constitutive equations are determined only by parameters of the explosive and the product through using simple mixing rule. The continuum constitutive model and the corresponding computational method are verified by simulating the detonation behaviour of PBX9404 impacted by high velocity Cu flyer, and in the simulation the JWL equation of state for unreacted explosive and detonation product and the two-term Lee-Tarver reaction rate equation are adopted.关键词
炸药爆轰/本构模型/化学反应率方程/数值模拟Key words
explosive detonation/constitutive equation/reaction rate/numerical simulation引用本文复制引用
周洪强,于明,孙海权,董贺飞,张凤国..炸药爆轰的连续介质本构模型和数值计算方法[J].物理学报,2014,(22):1-5,5.基金项目
Project supported by the Science and Technology Development Foundation of China Academy of Enginerring Physics (Grant Nos.2013A0201010,2013B0101014) and the National Natural Science Foundation of China (Grant No.11272064) （Grant Nos.2013A0201010,2013B0101014）
