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Plane wave propagation in 2D and 3D monodisperse periodic granular media

机译：平面波在2D和3D单分散周期性颗粒介质中的传播

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摘要

Plane wave propagation in periodic ordered granular media comprising of elastic spherical particles is investigated. The spheres are under zero precompression and are assumed to interact via the Hertzian contact potential. Various two- and three-dimensional granular structures such as hexagonal packing (2D and 3D), face-centered cubic and body-centered cubic packings are considered in the present study, with the plane impact either normal or oblique to the granular system. For the normal impact case, 1D chains equivalent to the 2D and 3D structures are obtained. A universal relation between the wavefront speed and the force amplitude is derived, valid for all the granular structures studied. In the angular impact case, the shear component of the amplitude of the particle velocity is found to initially decay exponentially and further in a series of linear regimes. By employing simpler models, semi-analytical predictions are obtained for the decay of shearing effect.
机译：研究了平面波在包含弹性球形颗粒的周期性有序颗粒介质中的传播。球体处于零预压缩状态，并假定通过赫兹接触电位相互作用。在本研究中考虑了各种二维和三维颗粒结构，例如六边形填充物（2D和3D），面心立方和体心立方填充物，其平面冲击垂直或倾斜于颗粒系统。对于正常冲击情况，将获得与2D和3D结构等效的1D链。推导了波前速度和力幅值之间的通用关系，对所有研究的颗粒结构均有效。在角冲击情况下，发现粒子速度幅度的切变分量最初呈指数衰减，并进一步在一系列线性范围内衰减。通过使用更简单的模型，可以获得剪切效果衰减的半分析预测。

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  • 来源
    《Granular matter》 |2014年第1期|141-150|共10页
  • 作者

    Mohith Manjunath; Amnaya P. Awasthi; Philippe H. Geubelle;

  • 作者单位

    Department of Aerospace Engineering, University of Illinois at Urbana-Champaign, Urbana, IL 61801, USA;

    Department of Aerospace Engineering, University of Illinois at Urbana-Champaign, Urbana, IL 61801, USA;

    Department of Aerospace Engineering, University of Illinois at Urbana-Champaign, Urbana, IL 61801, USA;

  • 收录信息 美国《科学引文索引》(SCI);美国《工程索引》(EI);
  • 原文格式 PDF
  • 正文语种 eng
  • 中图分类
  • 关键词

    Granular media; Plane wave propagation; Hertzian contact; Solitary wave;

    机译：颗粒状介质;平面波传播;赫兹联系;孤波;

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