【摘要】：相比氣體,固體介質(zhì)在高壓下的狀態(tài)方程更為復(fù)雜,形式也多種多樣.現(xiàn)有關(guān)于固體介質(zhì)中激波反射的理論研究,一般直接采用某種狀態(tài)方程,缺乏對采用不同狀態(tài)方程得到的結(jié)果的對比.本項工作采用激波極曲線的理論分析方法,選擇4種不同組合形式的狀態(tài)方程(一次沖擊激波采用線性的沖擊波速度與粒子速度關(guān)系式,二次沖擊激波采用Gr(u|¨)neisen狀態(tài)方程;一次沖擊和二次沖擊激波均采用沖擊波速度與粒子速度關(guān)系式:一次沖擊激波采用線性沖擊波速度與粒子速度關(guān)系式,二次沖擊激波采用剛性氣體狀態(tài)方程;以及一次沖擊激波和二次沖擊激波均采用剛性氣體狀態(tài)方程),研究固體介質(zhì)中的斜激波反射,比較了采用不同組合形式的狀態(tài)方程對反射激波波后壓力的影響.利用量綱分析方法討論了簡化狀態(tài)方程達(dá)到較高精度的條件.此外,用ANSYS/LS-DYNA軟件,對激波極曲線理論給出的結(jié)果進(jìn)行了驗證.本項工作可為固體介質(zhì)中激波反射問題狀態(tài)方程的選取提供一定的指導(dǎo).
[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.
【作者單位】： 北京應(yīng)用物理與計算數(shù)學(xué)研究所;
【基金】：國家自然科學(xué)基金資助項目(11602027)
【分類號】：O354.5

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