Mechanism and Theoretical Model of Self-distributed Energy Release Behavior on Reactive Filling Structure Penetrating Multi-layered Plates

doi:10.12382/bgxb.2024.0876

Abstract

Abstract:

The reactive filling structure exhibits a unique behavior of self-distributed deflagration and energy release,along with mechanically and chemically coupled dynamic characteristics when penetrating multi-layered plates.This results in a multi-peak,long-duration deflagration overpressure behind the plates,featuring a complex evolution and waveform mechanism of the deflagration process.To better understand this distinctive energy-releasing behavior,overpressure signals were recorded during experiments that involved the reactive filling structure penetrating multi-layered plates at various velocities.An equivalent deflagration position model and theories for deflagration overpressure were developed to clarify the waveform characteristics of deflagration shock wave.Experimental results show that the third collision produced the maximum peak overpressure.,which increased from 0.0607MPa to 0.246MPa as the velocity rose from 594m/s to 819m/s(the impact stress in the range of 2.54GPa to 3.92GPa).The equivalent deflagration model indicates that the intense deflagration reaction occurred within a distance of 20.73mm behind the plates.The peak deflagration overpressure is influenced by several factors,including thickness of the structure's head,the impact velocity,and the thickness of plates,all of which affect the effective initiated mass of the reactive filling.The analytical model aligns well with the experimental results,providing credible support for further investigations into the after-effects of the reactive filling structure.

Key words: reactive filling structure, behind-plate overpressure, reactive materials, multi-layered plates

CLC Number:

TJ04

XIANG Jing'an, WANG Haifu, YAN Yueguang, QU Lifeng, GE Chao. Mechanism and Theoretical Model of Self-distributed Energy Release Behavior on Reactive Filling Structure Penetrating Multi-layered Plates[J]. Acta Armamentarii, 2025, 46(8): 240876-.

Figures/Tables 18

Fig.1 Diagram of penetration structure

Fig.2 Experimental setup and the test system

Fig.3 high-speed phototagraphy of different velocities

Fig.4 The deflagration shock wave overpressure phenomenon showing the typical multi-peak overpressure and enlarged positive pressure duration of penetration structure

Fig.5 Deflagration shock wave overpressure history of different testing sensors

Table 1 Peak characteristics of deflagration shock wave overpressure at 594m/s

参数	1号传感器			2号传感器			3号传感器	4号传感器
峰值序号	$p 11$	$p 12$	$p 13$	$p 21$	$p 22$	$p 23$	$p 31$	$p 41$	$p 42$	$p 43$	$p 44$
峰值幅值/MPa	0.019	0.014	0.013	0.011	0.009	0.007	0.061	0.048	0.056	0.017	0.083
到达时刻/ms	4.90	5.80	6.60	7.26	8.64	10.37	15.17	16.32	18.71	20.51	22.77
正压作用持续时间/ms	6.858			18.648			4.759	19.495

Table 1 Peak characteristics of deflagration shock wave overpressure at 594m/s

参数	1号传感器			2号传感器			3号传感器	4号传感器
峰值序号	$p 11$	$p 12$	$p 13$	$p 21$	$p 22$	$p 23$	$p 31$	$p 41$	$p 42$	$p 43$	$p 44$
峰值幅值/MPa	0.019	0.014	0.013	0.011	0.009	0.007	0.061	0.048	0.056	0.017	0.083
到达时刻/ms	4.90	5.80	6.60	7.26	8.64	10.37	15.17	16.32	18.71	20.51	22.77
正压作用持续时间/ms	6.858			18.648			4.759	19.495

Table 2 Peak characteristics of deflagration shock wave overpressure at 616m/s

参数	1号传感器		2号传感器		3号传感器			4号传感器
峰值序号	$p 11$	$p 12$	$p 21$	$p 22$	$p 31$	$p 32$	$p 33$	$p 41$	$p 42$	$p 43$
峰值幅值/MPa	0.021	0.037	0.027	0.058	0.109	0.062	0.249	0.071	0.177	0.174
到达时刻/ms	3.81	5.91	6.88	10.67	15.78	18.281	19.983	19.921	22.689	26.455
正压作用持续时间/ms	5.760		9.652		21.142			23.909

Table 2 Peak characteristics of deflagration shock wave overpressure at 616m/s

参数	1号传感器		2号传感器		3号传感器			4号传感器
峰值序号	$p 11$	$p 12$	$p 21$	$p 22$	$p 31$	$p 32$	$p 33$	$p 41$	$p 42$	$p 43$
峰值幅值/MPa	0.021	0.037	0.027	0.058	0.109	0.062	0.249	0.071	0.177	0.174
到达时刻/ms	3.81	5.91	6.88	10.67	15.78	18.281	19.983	19.921	22.689	26.455
正压作用持续时间/ms	5.760		9.652		21.142			23.909

Table 3 Peak characteristics of deflagration shock wave overpressure at 819m/s

参数	1号传感器		2号传感器		3号传感器		4号传感器
峰值序号	$p 11$	$p 12$	$p 21$	$p 22$	$p 31$	$p 32$	$p 41$	$p 42$	$p 43$
峰值幅值/MPa	0.037	0.071	0.040	0.025	0.246	0.0283	0.097	0.416	0.164
到达时刻/ms	4.14	5.28	5.82	7.66	10.86	12.17	11.34	14.40	17.66
正压作用持续时间/ms	6.045		6.623		2.566		21.570

Table 3 Peak characteristics of deflagration shock wave overpressure at 819m/s

参数	1号传感器		2号传感器		3号传感器		4号传感器
峰值序号	$p 11$	$p 12$	$p 21$	$p 22$	$p 31$	$p 32$	$p 41$	$p 42$	$p 43$
峰值幅值/MPa	0.037	0.071	0.040	0.025	0.246	0.0283	0.097	0.416	0.164
到达时刻/ms	4.14	5.28	5.82	7.66	10.86	12.17	11.34	14.40	17.66
正压作用持续时间/ms	6.045		6.623		2.566		21.570

Fig.6 Peak overpressure p i 1 of three velocities

Fig.7 Positive overpressure duration of three velocities

Fig.8 Similarity of overpressure

Fig.9 Schematic of the wave interaction

Fig.10 Effective initiated mass of different impact velocities

Fig.11 Schematic diagram of effective deflagration point

Table 4 Equivalent deflagration point parameters of different velocities

参数	v/(m·s^-1)	1号靶	2号靶	3号靶	4号靶
v_r_i/(m·s^-1)	594	482.19	435.76	242.41	32.00
	616	512.32	483.12	280.64	200.00
	819	752.42	720.02	430.92	380.00
τ_i/μs	594	60.73	78.49	89.35	210.66
	616	58.14	72.76	78.30	166.08
	819	41.72	45.98	48.39	90.66
t_i/μs	594	74.34	32.68	88.47	109.33
	616	70.90	30.14	78.56	62.42
	819	50.91	20.37	52.13	37.00
τ_i-t_i/μs	594	-13.61	45.81	0.88	101.33
	616	-12.76	42.62	-0.25	103.66
	819	-9.18	25.61	-3.75	53.66
x_ED_i/mm	594	-6.56	19.96	0.21	3.24
	616	-6.54	20.59	-0.07	20.73
	819	-6.91	18.44	-1.61	20.39

Fig.12 Deflagration flame development after penetration

Fig.13 p- r ¯ curve of reactive filling deflagration

Fig.14 Multi-peak overpressure prediction at different velocities

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