sound wave propagation in dry granular materials : simulations, theory and experiments

Mouraille, Orion

doi:10.3990/1.9789036527897

Cited by 16 publications

(24 citation statements)

References 99 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…However, such behavior is due to nonlinear interaction and is not a mass disorder-induced effect. Frequency mixing due to disorder was also noted by Mouraille [34].…”

Section: Introductionmentioning

confidence: 81%

“…The low-pass filtering seen does not seem to be observed, likely due to the short length of the arrays considered (5 oscillators). Mouraille and Luding [34,35] numerically studied the high-frequency filtering present in three-dimensional packings perturbed from their perfect crystalline geometry by a small random variation in the particle sizes. Following a delta-like pulse of the boundary, only the low-frequency components of the excitation are observed to propagate a significant distance.…”

Section: Introductionmentioning

confidence: 99%

See 1 more Smart Citation

Frequency filtering in disordered granular chains

Lawney¹,

Luding²

2014

Acta Mech

View full text Add to dashboard Cite

The study of disorder-induced frequency filtering is presented for one-dimensional systems composed of random, pre-stressed masses interacting through both linear and nonlinear (Hertzian) repulsive forces. An ensemble of such systems is driven at a specified frequency, and the spectral content of the propagated disturbance is examined as a function of distance from the source. It is shown that the transmitted signal contains only low-frequency components, and the attenuation is dependent on the magnitude of disorder, the input frequency, and the contact model. It is found that increased disorder leads to a narrower bandwidth of transmitted frequencies at a given distance from the source and that lower input frequencies exhibit less sensitivity to the arrangement of the masses. Comparison of the nonlinear and linear contact models reveals qualitatively similar filtering behavior; however, it is observed that the nonlinear chain produces transmission spectrums with a greater density at the lowest frequencies. In addition, it is shown that random masses sampled from normal, uniform, and binary distributions produce quantitatively indistinguishable filtering behavior, suggesting that knowledge of only the distribution's first two moments is sufficient to characterize the bulk signal transmission behavior. Finally, we examine the wave number evolution of random chains constrained to move between fixed end-particles and present a transfer matrix theory in wave number space, and an argument for the observed filtering based on the spatial localization of the higher-frequency normal modes.

show abstract

“…However, such behavior is due to nonlinear interaction and is not a mass disorder-induced effect. Frequency mixing due to disorder was also noted by Mouraille [34].…”

Section: Introductionmentioning

confidence: 81%

Section: Introductionmentioning

confidence: 99%

Frequency filtering in disordered granular chains

Lawney¹,

Luding²

2014

Acta Mech

View full text Add to dashboard Cite

show abstract

“…The derivation of the dispersion relation for a 1-D chain of identical spheres has been previously shown [33]. The theory can be extended to a 3-D regular array of equal spheres [33][34][35] to give:…”

Section: Dispersion Relation For Fcc Packingmentioning

confidence: 99%

Influence of packing density and stress on the dynamic response of granular materials

et al. 2017

View full text Add to dashboard Cite

Laboratory geophysics tests including bender elements and acoustic emission measure the speed of propagation of stress or sound waves in granular materials to derive elastic stiffness parameters. This contribution builds on earlier studies to assess whether the received signal characteristics can provide additional information about either the material's behaviour or the nature of the material itself. Specifically it considers the maximum frequency that the material can transmit; it also assesses whether there is a simple link between the spectrum of the received signal and the natural frequencies of the sample. Discrete element method (DEM) simulations of planar compression wave propagation were performed to generate the data for the study. Restricting consideration to uniform (monodisperse) spheres, the material fabric was varied by considering face-centred cubic lattice packings as well as random configurations with different packing densities. Supplemental analyses, in addition to the DEM simulations, were used to develop a more comprehensive understanding of the system dynamics. The assembly stiffness and mass matrices were extracted from the DEM model and these data were used in an eigenmode analysis that provided significant insight into the observed overall dynamic response. The close agreement of the wave velocities estimated using eigenmode analysis with the DEM results confirms that DEM wave propagation simulations can reliably be used to extract material stiffness data. The data show that increasing either stress or density allows higher frequencies to propagate through the media, but the low-pass wavelength is a function of packing density rather than stress level. Prior research which had hypothesised that there is a simple link between the spectrum of the received signal and the natural sample frequencies was not substantiated.

show abstract

“…This localization length can be seen as the length beyond which elastic waves with a particular frequency become evanescent, i.e., they decay exponentially in a disordered system (Mouraille, 2009). It is instrumental in determining the length within which the elastic waves become confined in space and is dependent on the frequency and thus the eigenmode (Anderson, 1958).…”

Section: Participation Ratio and Localization Lengthmentioning

confidence: 99%

Effect of disorder on bulk sound wave speed: a multiscale spectral analysis

Shrivastava¹,

Luding²

2017

Nonlin. Processes Geophys.

View full text Add to dashboard Cite

Abstract. Disorder of size (polydispersity) and mass of discrete elements or particles in randomly structured media (e.g., granular matter such as soil) has numerous effects on the materials' sound propagation characteristics. The influence of disorder on energy and momentum transport, the sound wave speed and its low-pass frequency-filtering characteristics is the subject of this study. The goal is understanding the connection between the particle-microscale disorder and dynamics and the system-macroscale wave propagation, which can be applied to nondestructive testing, seismic exploration of buried objects (oil, mineral, etc.) or to study the internal structure of the Earth. To isolate the longitudinal P-wave mode from shear and rotational modes, a one-dimensional system of equally sized elements or particles is used to study the effect of mass disorder alone via (direct and/or ensemble averaged) real time signals, signals in Fourier space, energy and dispersion curves. Increase in mass disorder (where disorder has been defined such that it is independent of the shape of the probability distribution of masses) decreases the sound wave speed along a granular chain. Energies associated with the eigenmodes can be used to obtain better quality dispersion relations for disordered chains; these dispersion relations confirm the decrease in pass frequency and wave speed with increasing disorder acting opposite to the wave acceleration close to the source.

show abstract

sound wave propagation in dry granular materials : simulations, theory and experiments

Cited by 16 publications

References 99 publications

Frequency filtering in disordered granular chains

Frequency filtering in disordered granular chains

Influence of packing density and stress on the dynamic response of granular materials

Effect of disorder on bulk sound wave speed: a multiscale spectral analysis

Contact Info

Product

Resources

About