Numerical Simulation Study on the Blast Resistance of Foam Matrix Negative Effective Mass Metamaterials

doi:10.12382/bgxb.2025.0505

Abstract

Abstract:

The bandgap characteristics of negative effective mass metamaterials provide an effective approach for shock wave attenuation. In this study, a sandwich composite structure incorporating a foam-resonator core was numerically investigated to evaluate its dynamic response under explosive loading. The structural deformation, time-and frequency-domain characteristics of contact forces, and energy dissipation behavior under various geometric configurations and loading conditions were systematically examined. The results demonstrate that increasing the resonator size effectively reduces core layer compression. Moreover, enlarging the resonator mass lowers the local resonance frequency, thereby suppressing the propagation of mid-to-high frequency shock waves and enhancing the overall blast resistance. However, as the resonator size increases, the inertial impedance effect induced by shock loading significantly amplifies the peak contact force on the front panel, potentially leading to local damage or failure of the foam matrix. Furthermore, the analysis reveals that the structural response exhibits minimal sensitivity to different loading directions under gravity. This study provides valuable insights for optimizing the blast resistance of negative effective mass metamaterials.

Key words: negative effective mass metamaterials, EVA foam, blast resistance, numerical simulation, energy dissipation

JIA Di, CHEN Chuanqing, LI Xin. Numerical Simulation Study on the Blast Resistance of Foam Matrix Negative Effective Mass Metamaterials[J]. Acta Armamentarii, 2025, 46(10): 250505-.

Figures/Tables 15

Fig.1 Schematic diagram of model size

Table 1 Structural geometric parameter table

模型	纯EVA	R2	R4	R6	R8
振子半径/mm	0	2	4	6	8
泡沫尺寸/mm	308×60×50 (长度×高度×厚度)

Fig.2 Mesh of finite element model

Table 2 Material properties of stainless steel 304 and aluminum 6063

材料	密度/ (kg·m^-3)	弹性模量/ GPa	屈服应力/ MPa	泊松比	应变率参数 C/s^-1	应变率参数 P
不锈钢304	7900	193	310	0.3	100	10
铝6063	2730	70	48.7	0.33	128800	4

Fig.3 EVA stress-strain curve

Table 3 Parameters of TNT equation of state

参数	A/ Pa	B/ Pa	R₁	R₂	ω	E₀/ (J·m^-3)	V
数值	3.71×10¹¹	3.21×10⁹	4.15	0.95	0.3	7×10⁹	1.0

Table 4 Parameters of air equation of state

参数	C₀、C₁、C₂、C₃、C₆	C₄、C₅	E₀/(J·m^-3)	V
数值	0	0.4	2.58×10⁵	1.0

Fig.4 Comparison of numerical simulation and experimental results of structural response process

Fig.5 Comparison of the maximum compression of pure EVA foam model and R2, R4, R6, and R8 models

Table 5 The peak contact force between face sheets and core

模型	纯EVA	R2	R4	R6	R8
前面板峰值/kN	8.04	13.5	13.6	18	24.8
后面板峰值/kN	3.85	4.06	3.13	3.02	2.97
传递率/%	47.9	30.1	23.0	16.7	12.0

Fig.6 The time-domain contact force between the front and back panels of pure EVA model and R2~R8 model

Fig.7 Frequency domain spectrum of contact force between the front and back panels of pure EVA model and R2~R8 model

Fig.8 Comparison of maximum compression under forward, reverse, and lateral gravity loading for the R4 model

Fig.9 Comparison of contact forces under reverse and lateral gravity loading for the R4 model

Fig.10 Frequency-domain spectra of front and back panel contact forces under reverse and lateral gravity loading for the R4 model

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