Investigating the Shockwave Collision of Different Metals Driven by Two-point Lateral Symmetric Initiation

doi:10.12382/bgxb.2023.0936

Abstract

Abstract:

The initial interactions of oblique shockwaves in metal samples under symmetric detonation loading is studied for the analysis of its subsequent dynamic evolution and failure mechanisms. Prior experimental and numerical investigations primarily centered on the dynamic process at later stage and initial interactions of shockwaves within the metal are very scarce to be examined. The dynamic characteristics of metal lead(Pb), oxygen-free high-conductive copper (Cu-OFHC) and W-Ni-Fe alloy(W4Ni2Fe) impacted by two oblique shockwaves are investigated using the shockwave polar theory and numerical simulations. Based on the shockwave polar theory and the Hugoniot equation of state, the critical conditions of the transition from regular reflection to Mach reflection for the shockwave reflections of three metals above are obtained to predict their reflection characteristics in the numerical simulations. The numerical results show that Mach reflection occurs in all three metals, which is consistent with the theoretical predictions. Through the comparative analysis of transverse pressure profiles in the same region of the three metals, it is found that the Mach stem for Pb is much wider than those of Cu-OFHC and W4Ni2Fe, and the three-wave loading region formed by the incident shockwave, Mach stem and reflected shockwave in Pb is also larger than those in the latter two. The fundamental origin stems from the lower sound velocity for metal Pb. For the three metals, the ultimate width of Mach stem is estimated and the dynamic behavior in the collision zone is discussed based on the free-surface velocity profile and decison criteria. Finally, based on the pressure and free-surface velocity profile, a symmetric oblique shockwave collision dynamics model is established, laying the fundamental theory on elucidating the dynamic behavior of metal.

Key words: oblique shockwave, symmetrical initiation, Mach reflection, polar curve, numerical simulation

CLC Number:

O382.1

REN Guowu, KANG Huaipu, ZHANG Shaolong, ZHANG Chongyu, CHEN Yongtao, TANG Tiegang. Investigating the Shockwave Collision of Different Metals Driven by Two-point Lateral Symmetric Initiation[J]. Acta Armamentarii, 2024, 45(11): 3892-3902.

Figures/Tables 11

Fig.1 Schematic diagram of oblique shockwave

Fig.2 Two-dimensional model

Table 1 Material parameters

材料	密度/ (g·cm^-3)	声速/ (mm·μs^-1)	λ	γ₀
Pb	11.34	2.006	1.429	2.74
Cu-OFHC	8.93	3.94	1.489	2.02
W4Ni2Fe	18.167	4.03	1.237	1.67

Fig.3 Gauge point distribution within metal sample

Fig.4 Detonation wave and incident oblique shockwave

Fig.5 Colliding images of two oblique shockwaves within the metal sample for t=2.72μs and the pressure profiles on G49 point

Fig.6 Relationship between critical incident angle and incident pressure during the transition from regular reflection to Mach reflection

Fig.7 Schematic diagrams of incident, reflected and Mach shockwaves within the metal samples and the corresponding pressure-time curves for the gauge points with the same longitudinal coordinate value

Fig.8 Pressure-time curves on the colliding line

Fig.9 Free-surface velocity profiles and corresponding dynamic images

Fig.10 Dynamic evolution model for interaction of two oblique shockwaves

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