不同状态方程对固体介质中斜激波反射的影响

发布时间：2018-12-12 05:13

【摘要】：相比气体,固体介质在高压下的状态方程更为复杂,形式也多种多样.现有关于固体介质中激波反射的理论研究,一般直接采用某种状态方程,缺乏对采用不同状态方程得到的结果的对比.本项工作采用激波极曲线的理论分析方法,选择4种不同组合形式的状态方程(一次冲击激波采用线性的冲击波速度与粒子速度关系式,二次冲击激波采用Gr(u|¨)neisen状态方程;一次冲击和二次冲击激波均采用冲击波速度与粒子速度关系式:一次冲击激波采用线性冲击波速度与粒子速度关系式,二次冲击激波采用刚性气体状态方程;以及一次冲击激波和二次冲击激波均采用刚性气体状态方程),研究固体介质中的斜激波反射,比较了采用不同组合形式的状态方程对反射激波波后压力的影响.利用量纲分析方法讨论了简化状态方程达到较高精度的条件.此外,用ANSYS/LS-DYNA软件,对激波极曲线理论给出的结果进行了验证.本项工作可为固体介质中激波反射问题状态方程的选取提供一定的指导.
[Abstract]:Compared with gas, the equation of state of solid medium under high pressure is more complicated and has various forms. The current theoretical studies on shock wave reflection in solid media generally adopt a certain equation of state directly, but there is a lack of comparison between the results obtained from different equations of state. In this work, the theoretical analysis method of shock pole curve is used, and four state equations of different combinations are selected. The first shock wave adopts linear relation between shock wave velocity and particle velocity. The second shock wave is based on Gr (u) neisen equation of state. The relationship between shock wave velocity and particle velocity is used in the first shock wave and the second shock wave. The linear shock wave and particle velocity are used in the first shock wave, and the rigid gas state equation is used in the second shock wave. The reflection of oblique shock waves in solid media is studied by using the equation of state of rigid gas. The influence of the state equations with different combination forms on the pressure of reflected shock waves is compared. The condition of high accuracy of simplified equation of state is discussed by using dimensional analysis method. In addition, the results obtained by the shock pole curve theory are verified by ANSYS/LS-DYNA software. This work can provide some guidance for the selection of the equation of state for shock wave reflection in solid media.
【作者单位】：北京应用物理与计算数学研究所;
【基金】：国家自然科学基金资助项目(11602027)
【分类号】：O354.5

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