冲击多孔材料的形貌表征
Morphological characterization of shocked porous material
摘要：
采用形态学方法研究了冲击波作用于多孔材料的复杂过程。它们表征了像温度这样的状态变量的像素化映射的几何和拓扑。揭示了它们与材料性能的相关性，并模拟了各种实验条件。数值结果表明，冲击波反应导致多孔材料中复杂的压缩和稀疏序列。总白色面积分数$A$的增加率大致给出了压缩波系列的速度$D$。当提到速度$D$时，也应该说明状态变量的相应阈值轮廓水平，如温度。当阈值轮廓水平增加时，$D$变小。在初始阶段，面积$A$随时间$t$呈抛物线增加。在以下三种情况下，$A(t)$曲线回到线性：（i）当孔隙度$δ$接近1时，（ii）当初始冲击变得更强时，（iii）当轮廓水平接近状态变量的最小值时。即使在早期的压缩波到达下游自由表面和一些稀疏波返回到目标体之后，高温区域仍可能继续增加。在高能材料的情况下... (see全文）
英文摘要：
Morphological measures are introduced to probe the complex procedure of shock wave reaction on porous material. They characterize the geometry and topology of the pixelized map of a state variable like the temperature. Relevance of them to thermodynamical properties of material is revealed and various experimental conditions are simulated. Numerical results indicate that, the shock wave reaction results in a complicated sequence of compressions and rarefactions in porous material. The increasing rate of the total fractional white area $A$ roughly gives the velocity $D$ of a compressive-wave-series. When a velocity $D$ is mentioned, the corresponding threshold contour-level of the state variable, like the temperature, should also be stated. When the threshold contour-level increases, $D$ becomes smaller. The area $A$ increases parabolically with time $t$ during the initial period. The $A(t)$ curve goes back to be linear in the following three cases: (i) when the porosity $δ$ approaches 1, (ii) when the initial shock becomes stronger, (iii) when the contour-level approaches the minimum value of the state variable. The area with high-temperature may continue to increase even after the early compressive-waves have arrived at the downstream free surface and some rarefactive-waves have come back into the target body. In the case of energetic material ... (see the full text)
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