Wave propagation of spectral energy content in a granular chain

Rohit Kumar Shrivastava, Stefan Luding

    Research output: Contribution to journalArticleAcademicpeer-review

    2 Citations (Scopus)
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    Abstract

    A mechanical wave is propagation of vibration with transfer of energy and momentum. Understanding the spectral energy characteristics of a propagating wave through disordered granular media can assist in understanding the overall properties of wave propagation through inhomogeneous materials like soil. The study of these properties is aimed at modeling wave propagation for oil, mineral or gas exploration (seismic prospecting) or non-destructive testing of the internal structure of solids. The focus is on the total energy content of a pulse propagating through an idealized one-dimensional discrete particle system like a mass disordered granular chain, which allows understanding the energy attenuation due to disorder since it isolates the longitudinal P-wave from shear or rotational modes. It is observed from the signal that stronger disorder leads to faster attenuation of the signal. An ordered granular chain exhibits ballistic propagation of energy whereas, a disordered granular chain exhibits more diffusive like propagation, which eventually becomes localized at long time periods. For obtaining mean-field macroscopic/continuum properties, ensemble averaging has been used, however, such an ensemble averaged spectral energy response does not resolve multiple scattering, leading to loss of information, indicating the need for a different framework for micro-macro averaging.
    Original languageEnglish
    Article number02023
    Number of pages4
    JournalEPJ Web of Conferences
    Volume140
    DOIs
    Publication statusPublished - 30 Jun 2017
    Event8th International Conference on Micromechanics on Granular Media, Powders & Grains 2017 - Montpellier, France
    Duration: 3 Jul 20177 Jul 2017
    Conference number: 8
    http://pg2017.org/en/

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