Wave propagation in elasto-plastic granular systems

Pal, Raj Kumar; Awasthi, Amnaya P.; Geubelle, Philippe H.

doi:10.1007/s10035-013-0449-1

Cited by 43 publications

(40 citation statements)

References 20 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…Finally, the relevance of more realistic contact mechanics (e.g. plastic deformations) [36,38] as well as the deeper understanding of idealized granular systems in higher dimensions [7,24] should help to better understand real system wave propagation in anisotropic, disordered granular matter, where wave propagation is an efficient means to measure the moduli and thus the microstructure of the material, see [19][20][21] and references therein.…”

Section: Discussionmentioning

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

Section: Discussionmentioning

confidence: 99%

“…Combinations of both tapering and decoration have also been employed [6,13]. The interest in non-linear, realistic wavepropagation phenomena is documented by the most recent publications on contact dissipation mechanisms in one-dimensional [31,36,38] and higher dimensional idealized granular systems [7,24,31].…”

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 force propagation speed and effects of dissipation has also been analyzed (Abd-Elhady M. S. et al, 2010;Pal R.K. et al, 2013;. The 3-dimensional studies on monodispersed sphere arrangements have explored wave propagation (Manjunath M. et al, 2014), effect of impact conditions on the rebound velocity of the incident projectile (Nishida M. et al, 2004) and the impact response of heterogeneous granular systems .…”

Section: Introductionmentioning

confidence: 99%

Impact Dispersion Using 2D and 3D Composite Granular Packing

Sen

Mohan

Tiwari

2017

KONA

View full text Add to dashboard Cite

We present a study of efficient dispersion of an impact onto structured and potentially scalable granular beds. We use discrete element method based dynamical simulations of shock wave propagation and dispersion in 2D and 3D arrangements of granular spheres. The spheres are geometrically packed in a nested columnar structure, which leads to the severe attenuation and spreading of the incident energy within the structure. We further show that by incorporating inhomogeneity in material properties, or by introducing layers of a dissimilar material in the middle of the arrangement, impact mitigation can be enhanced significantly. Such an arrangement can therefore be useful in the design of effective impact decimation systems. Using a 2D arrangement we first show the basic idea behind impact dispersion in such an arrangement. With this understanding the system is scaled to 3D. The influence of the system size and material properties on the wave propagation within the packing is also presented.

show abstract

“…To move toward practical impact protection applications, the dynamic response of 1D granular chains including the effects of plasticity has been recently investigated [24][25][26][27]. In order to design granular materials for impact mitigation and blast protection, it is necessary to understand how plasticity at the contacts changes the dispersion and energy dissipation of stress waves through these materials, and how these effects are controlled by constituent material properties and particle arrangements.…”

Section: Introductionmentioning

confidence: 99%

“…However, the dynamic interaction between elastic-plastic particles has been described with numerical and experimental approaches [29][30][31][32][33][34]. In recent studies, simulations showed that the leading plastic wave propagating through elastic-plastic granular chains traveled slower than subsequent unloading and reloading waves due to residual plastic deformations changing the geometry of the contacts [24,27]. In these events, the unloading and reloading waves following the first compressive front operate in the elastic regime and exhibit the same properties as waves in elastic Hertzian granular chains.…”

Section: Introductionmentioning

confidence: 99%

Elastic–Plastic Wave Propagation in Uniform and Periodic Granular Chains

Burgoyne

Daraio

2015

Journal of Applied Mechanics

View full text Add to dashboard Cite

We investigate the properties of high-amplitude stress waves propagating through chains of elastic-plastic particles using experiments and simulations. We model the system after impact using discrete element method (DEM) with strain-rate dependent contact interactions. Experiments are performed on a Hopkinson bar coupled with a laser vibrometer. The bar excites chains of 50 identical particles and dimer chains of two alternating materials. After investigating how the speed of the initial stress wave varies with particle properties and loading amplitude, we provide an upper bound for the leading pulse velocity that can be used to design materials with tailored wave propagation.

show abstract

Wave propagation in elasto-plastic granular systems

Cited by 43 publications

References 20 publications

Frequency filtering in disordered granular chains

Frequency filtering in disordered granular chains

Impact Dispersion Using 2D and 3D Composite Granular Packing

Elastic–Plastic Wave Propagation in Uniform and Periodic Granular Chains

Contact Info

Product

Resources

About