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Volume 53 Issue 9
Sep.  2021
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Wang Jiao, Chu Xihua. Analysis of wave behavior and deformation characteristics of granular materials in pro-border zone under impact load. Chinese Journal of Theoretical and Applied Mechanics, 2021, 53(9): 2395-2403 doi: 10.6052/0459-1879-21-242
Citation: Wang Jiao, Chu Xihua. Analysis of wave behavior and deformation characteristics of granular materials in pro-border zone under impact load. Chinese Journal of Theoretical and Applied Mechanics, 2021, 53(9): 2395-2403 doi: 10.6052/0459-1879-21-242


doi: 10.6052/0459-1879-21-242
Funds:  The project was supported by the National Natural Science Foundation of China Youth Fund Project (Grant NO. 11902228, 11772237) and the Fundamental Research Funds For Central Universities (Grant NO. 2682021CX083)
  • Received Date: 2021-05-31
  • Accepted Date: 2021-07-12
  • Available Online: 2021-07-13
  • Publish Date: 2021-09-18
  • The study of wave propagation in granular materials is of great significance in metamaterial manufacturing. The boundary design of wave-conducting metamaterials needs to consider the reflection and absorption of stress waves. First, the wave propagation behavior in a one-dimensional particle chain has been studied. According to the difference in the maximum kinetic energy that the particles can obtain at different positions from the boundary, the definition of the boundary area is given. Then the stress wave propagation behaviors of multiple sets of two-dimensional particle samples under impact load are analyzed. The influences of different boundary shapes and particle arrangement on the propagation behavior of stress waves in the pro-border zone have been considered. The results show that the arrangement of particles in the pro-border zone mainly affects the relative position and local porosity of particles near the boundary. The stress wave reflected by the boundary propagates directly in the pro-border zone in the shape of the boundary line. The more complicated the boundary situation (high local porosity, random arrangement of particles), the more accurate the conclusion. The wave velocity mainly determines the shape of the wave-front outside the pro-border zone, i.e., in the material center area. The convergence effect of the arc boundary on the wave reflection and the dispersion effect caused by the arrangement of the particles in the pro-border zone are two competing factors, which together determine the reflection process of the wave in the pro-border zone. Finally, the changes of the force chain network in the pro-border zone before and after reflection are analyzed. The distribution of kinetic energy intuitively reflects the phenomenon of reflection hysteresis. The process of particle contact and rebound in the boundary area corresponds to the storage and release of energy. This research will provide reference for the handling of boundary problems in metamaterial design.


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  • [1]
    Tichler AM, Gomez LR, Upadhyaya N, et al. Transmission and reflection of strongly nonlinear solitary waves at granular interfaces. Physical Review Letters, 2013, 111(4): 048001 doi: 10.1103/PhysRevLett.111.048001
    Sen S, Hong J, Bang J, et al. Solitary waves in the granular chain. Physics Reports, 2008, 462(2): 21-66 doi: 10.1016/j.physrep.2007.10.007
    Potekin R, Jayaprakash KR, Mcfarland DM, et al. Experimental study of strongly nonlinear resonances and anti-resonances in granular dimer chains. Experimental Mechanics, 2013, 53(5): 861-870 doi: 10.1007/s11340-012-9673-6
    Cheng H, Luding S, Saitoh K, et al. Elastic wave propagation in dry granular media: Effects of probing characteristics and stress history. International Journal of Solids and Structures, 2020, 187: 85-99 doi: 10.1016/j.ijsolstr.2019.03.030
    Wang J, Chu X. Impact energy distribution and wavefront shape in granular material assemblies. Granular Matter, 2019, 21(2): 23 doi: 10.1007/s10035-019-0880-z
    Wang J, Chu X, Jiang Q, et al. Energy transfer and influence of excitation frequency in granular materials from the perspective of Fourier transform. Powder Technology, 2019, 356: 493-499 doi: 10.1016/j.powtec.2019.08.061
    Sadovskaya OV, Sadovskii VM. Elastoplastic waves in granular materials. Journal of Applied Mechanics & Technical Physics, 2003, 44(5): 741-747
    Pal RK, Awasthi AP, Geubelle PH. Characterization of wave propagation in elastic and elastoplastic granular chains. Physical Review E Statistical Nonlinear & Soft Matter Physics, 2014, 89(1): 012204
    On T, Wang E, Lambros J. Plastic waves in one-dimensional heterogeneous granular chains under impact loading single intruders and dimer chains. International Journal of Solids & Structures, 2015, 62: 81-90
    Burgoyne HA, Newman JA, Jackson WC, et al. Guided impact mitigation in 2D and 3D granular crystals. Procedia Engineering, 2015, 103: 52-59 doi: 10.1016/j.proeng.2015.04.008
    Chong C, Porter MA, Kevrekidis PG, et al. Nonlinear coherent structures in granular crystals. Journal of Physics Condensed Matter An Institute of Physics Journal, 2017, 29(41): 413003 doi: 10.1088/1361-648X/aa7672
    Wang J, Chu X, Xiu C, et al. Stress wave in monosized bead string with various water contents. Advanced Powder Technology, 2020, 31(3): 993-1000 doi: 10.1016/j.apt.2019.12.027
    孙锦山, 朱建士, 贾祥瑞. 颗粒材料中致密波结构研究. 力学学报, 1999, 31(4): 423-433 (Sun Jinshan, Zhu Jianshi, Jia Xiangrui. An analysis of compaction wave in granular material. Chinese Journal of Theoretical and Applied Mechanics, 1999, 31(4): 423-433 (in Chinese) doi: 10.3321/j.issn:0459-1879.1999.04.006
    章青, 顾鑫郁, 杨天. 冲击载荷作用下颗粒材料动态力学响应的近场动力学模拟. 力学学报, 2016, 48(1): 56-63 (Zhang Qing, Gu Xinyu, Yang Tian. Peridynamics simulation for dynamic response of granular materials under impact loading. Chinese Journal of Theoretical and Applied Mechanics, 2016, 48(1): 56-63 (in Chinese) doi: 10.6052/0459-1879-15-291
    修晨曦, 楚锡华. 基于微形态模型的颗粒材料中波的频散现象研究. 力学学报, 2018, 50(2): 315-328 (Xiu Chenxi, Chu Xihua. Study on dispersion behavior and band gap in granular materials based on a micromorphic model. Chinese Journal of Theoretical and Applied Mechanics, 2018, 50(2): 315-328 (in Chinese) doi: 10.6052/0459-1879-17-420
    Mouraille O, Mulder WA, Luding S. Sound wave acceleration in granular materials. Journal of Statistic Mechanics, 2006, 47(7): 1192-1197
    Awasthi AP, Smith KJ, Geubelle PH, et al. Propagation of solitary waves in 2D granular media: A numerical study. Mechanics of Materials, 2012, 54: 100-112 doi: 10.1016/j.mechmat.2012.07.005
    Chotiros NP, Isakson MJ. Shear and compressional wave speeds in Hertzian granular media. Journal of the Acoustical Society of America, 2011, 129(6): 3531 doi: 10.1121/1.3571421
    Huang B, Xia T, Qiu H, et al. Shear wave velocity in sand considering the effects of frequency based on particle contact theory. Wave Motion, 2017, 72: 173-186 doi: 10.1016/j.wavemoti.2017.02.006
    Yang J, Sutton M. Nonlinear wave propagation in a hexagonally packed granular channel under rotational dynamics. International Journal of Solids & Structures, 2015: 65-73
    Lisyansky A, Meimukhin D, Starosvetsky Y. Primary wave transmission in the hexagonally packed, damped granular crystal with a spatially varying cross section. Communications in Nonlinear Science & Numerical Simulation, 2015, 27(1-3): 193-205
    Keki A, Van Gorder R. Wave propagation across interfaces induced by different interaction exponents in ordered and disordered Hertz-like granular chains. Physica D: Nonlinear Phenomena, 2018, 384: 18-33
    Hua T, Van Gorder RA. Wave propagation and pattern formation in two-dimensional hexagonally-packed granular crystals under various configurations. Granular Matter, 2019, 21(1): 3 doi: 10.1007/s10035-018-0852-8
    Li LL, Yang XQ, Wei Z. Two interactional solitary waves propagating in two-dimensional hexagonal packing granular system. Granular Matter, 2018, 20(3): 49 doi: 10.1007/s10035-018-0810-5
    Leonard A, Fraternali F, Daraio C. Directional wave propagation in a highly nonlinear square packing of spheres. Experimental Mechanics, 2013, 53(3): 327-337 doi: 10.1007/s11340-011-9544-6
    Leonard A, Daraio C, Awasthi A. Effects of weak disorder on stress-wave anisotropy in centered square nonlinear granular crystals. Physical Review E: Statistical, 2012, 86(3): 1-10
    Leonard A, Daraio C. Stress wave anisotropy in centered square highly nonlinear granular systems. Physical Review Letters, 2012, 108(21): 214301-214301 doi: 10.1103/PhysRevLett.108.214301
    Leonard A, Ponson L, Daraio C. Wave mitigation in ordered networks of granular chains. Journal of the Mechanics & Physics of Solids, 2014, 73(4336): 103-117
    Xu J, Zheng B. Stress wave propagation in two-dimensional buckyball lattice. Scientific Reports, 2016, 6: 37692 doi: 10.1038/srep37692
    Galich PI, Fang NX, Boyce MC, et al. Elastic wave propagation in finitely deformed layered materials. Journal of the Mechanics and Physics of Solids, 2017, 98: 390-410 doi: 10.1016/j.jmps.2016.10.002
    Zhou XZ, Wang YS, Zhang C. Effects of material parameters on elastic band gaps of two-dimensional solid phononic crystals. Journal of Applied Physics, 2009, 106(1): 2022
    Wang J, Chu X, Zhang J, et al. The effects of microstructure on wave velocity and wavefront in granular assemblies with binary-sized particles. International Journal of Solids and Structures, 2018, 159(2): 156-162
    Wang J, Chu X. Compressive wave propagation in highly ordered granular media based on DEM. International Journal of Nonlinear Sciences and Numerical Simulation, 2018, 19(5): 545-552 doi: 10.1515/ijnsns-2017-0213
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