Analytical and numerical modeling on resonant response of particles in polymer matrix under blast wave

A novel methodology is proposed in this paper to design polymer matrix with particles for protecting against the blast wave. Through the adoption of vibration analysis, two kinds of basic equivalent unit cell models introducing the massive springs are developed and the corresponding relations for structural parameters considering the Poisson effects are derived. The resonant frequencies of particles are obtained by theoretical prediction and compared with the results of finite element analysis, in which a good agreement is achieved. Based on the theoretical analysis, two types of composite materials with different geometry configurations are proposed and the 3D periodic models are established to investigate the dynamic performance under blast wave. The energy history of system is calculated to study the energy transfer effect among components. Additionally, the numerical parametric studies are conducted to investigate the effects of coating properties and particle volume fraction on the wave propagating in these two unit cell models. The acquired results show that the attenuation of blast wave is caused by the interaction between the elastic wave motion and the resonant particles. The coating properties and particle volume fraction are significant factors to affect the wave propagation and attenuation. The dominant frequencies of spectrum obtained by the simulations are well coincident with the theoretical solutions. (C) 2017 Elsevier B.V. All rights reserved.