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Computational design of resonant phononic crystal for aperiodic stress wave attenuation

Chengcheng Luo (Applied Mechanics Laboratory, Department of Engineering Mechanics, School of Aerospace, Tsinghua University, Beijing, China)
Shaowu Ning (Applied Mechanics Laboratory, Department of Engineering Mechanics, School of Aerospace, Tsinghua University, Beijing, China)
Zhanli Liu (Applied Mechanics Laboratory, Department of Engineering Mechanics, School of Aerospace, Tsinghua University, Beijing, China)
Xiang Li (Applied Mechanics Laboratory, Department of Engineering Mechanics, School of Aerospace, Tsinghua University, Beijing, China)
Zhuo Zhuang (Applied Mechanics Laboratory, Department of Engineering Mechanics, School of Aerospace, Tsinghua University, Beijing, China)

Engineering Computations

ISSN: 0264-4401

Article publication date: 21 July 2020

Issue publication date: 8 February 2021

188

Abstract

Purpose

This paper aims to propose a design method for attenuating stress waves pressure using soft matrix embedded with particles.

Design/methodology/approach

Based on the phononic crystal theory, the particle composed of hard core and soft coating can form a spring oscillator structure. When the frequency of the wave is close to the resonance frequency of the spring oscillator, it can cause the resonance of the particle and absorb a lot of energy. In this paper, the resonant phononic crystal with three phases, namely, matrix, particle core and coating, is computationally designed to effectively mitigate the stress wave with aperiodic waveform.

Findings

The relationship between the center frequency and width of the bandgap and the geometric and physical parameters of particle core are discussed in detail, and the trend of influence is analyzed and explained by a spring oscillator model. Increasing the radius of hard core could effectively enhance the bandgap width, thus enhancing the effect of stress wave attenuation. In addition, it is found that when the wave is in the bandgap, adding viscosity into the matrix will not further enhance the stress attenuation effect, but will make the stress attenuation effect of the material worse because of the competition between viscous dissipation mechanism and resonance mechanism.

Research limitations/implications

This study will provide a reference for the design of stress wave protection materials with general stress waves.

Originality/value

This study proposes a design method for attenuating stress waves pressure using soft matrix embedded with particles.

Keywords

Acknowledgements

This research is supported by the Science Challenge Project (Grant No. TZ2018001), National Natural Science Foundation of China (Grant No. 11722218, 11972205 and 11302115), the National Key Research Development Program of China (Grant No. 2017YFB0702003) and the Tsinghua University Initiative Scientific Research Program.

Citation

Luo, C., Ning, S., Liu, Z., Li, X. and Zhuang, Z. (2021), "Computational design of resonant phononic crystal for aperiodic stress wave attenuation", Engineering Computations, Vol. 38 No. 2, pp. 895-912. https://doi.org/10.1108/EC-10-2019-0492

Publisher

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Emerald Publishing Limited

Copyright © 2020, Emerald Publishing Limited

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