Nondestructive identification of impurities in granular medium

Hong, Jongbae; Xu, Aiguo

doi:10.1063/1.1522829

Cited by 84 publications

(77 citation statements)

References 11 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…Previous work to understand the interaction of solitary waves with linear elastic interfaces has been reported in the literature [15][16][17][18][19]. Job et al investigated the collision of a single solitary wave with elastic media of various hardness (herein referred to as the "wall"), and reported different force profiles originating from the interactions with such walls [15].…”

Section: Introductionmentioning

confidence: 99%

See 1 more Smart Citation

Interaction of highly nonlinear solitary waves with linear elastic media

et al. 2011

View full text Add to dashboard Cite

We study the interaction of highly nonlinear solitary waves propagating in granular crystals with an adjacent linear elastic medium. We investigate the effects of interface dynamics on the reflection of incident waves and on the formation of primary and secondary reflected waves. Experimental tests are performed to correlate the linear medium geometry, materials, and mass with the formation and propagation of reflected waves. We compare the experimental results with theoretical analysis based on the long-wavelength approximation and with numerical predictions obtained from discrete particle models. Experimental results are found to be in agreement with theoretical analysis and numerical simulations. This preliminary study establishes the foundation for utilizing reflected solitary waves as novel information carriers in nondestructive evaluation of elastic material systems.

show abstract

Section: Introductionmentioning

confidence: 99%

“…Falcon et al studied the impact of a column of beads on a fixed wall focusing on the bouncing behaviors of the chain [16]. The decomposition of incident solitary waves has been reported under the influence of large-mass granular impurities [17,18] and heterogeneous granular chains [19]. * Corresponding author: daraio@caltech.edu…”

Section: Introductionmentioning

confidence: 99%

Interaction of highly nonlinear solitary waves with linear elastic media

et al. 2011

View full text Add to dashboard Cite

show abstract

“…Based on the former, the novel concept of impulse trapping inside a protecting granular laminar layer has been proposed [23,24].…”

mentioning

confidence: 99%

Anomalous Wave Reflection at the Interface of Two Strongly Nonlinear Granular Media

et al. 2005

View full text Add to dashboard Cite

Granular materials exhibit a strongly nonlinear behavior affecting the propagation of energy and information. Dynamically self-organized strongly nonlinear solitary waves are the main information carriers in granular chains. We report the first experimental observation of the dramatic change of solitary wave reflectivity from the interface of two granular media triggered by a magnetically induced precompression. It may be appropriate to name this phenomenon the ''acoustic diode'' effect. We explain this effect by the high gradient of particle velocity near the interface. DOI: 10.1103/PhysRevLett.95.158702 PACS numbers: 05.65.+b, 43.25.+y, 45.70.2n, 46.40.Cd Strongly nonlinear granular chains are ''sonic vacuum'' (SV) type systems that support a new type of solitary wave with parameters determined by the interaction force [1][2][3]. These solitary waves are qualitatively different from the well known weakly nonlinear solitary waves of the Korteweg-de Vries equation [4,5] which were first discovered experimentally by Russel [6] in 1834. The concept of a SV was proposed to emphasize the uniqueness of the types of materials that do not support sound waves without initial prestress [3,7]. The unique property of these materials is that a single parameter (initial prestress) is able to tune the response from a linear to a strongly nonlinear regime. One of the main features of strongly nonlinear solitary waves is that the speed is strongly influenced by interrelated potential and kinetic energies [3]. A granular chain with particles interacting according to Hertz law [8] is just one example of strongly nonlinear behavior which can support the new type of solitary wave [3]. Different groups investigated numerically and experimentally the properties of these waves [1,2,9-20] and found a good agreement with the theoretical predictions based upon a long wave approximation. Nonlinear dynamic properties can be extended to other metamaterials including the propagation of electrical or other types of signals. Interesting applications of this new area of wave dynamics have been proposed, e.g., for the creation of nanodroplets [21].Another intriguing property of these materials is the reflection of the solitary waves at the interface of two SV materials [3,7,20,22], from imperfections [11] or from a wall [19]. Based on the former, the novel concept of impulse trapping inside a protecting granular laminar layer has been proposed [23,24].In this Letter we present the first experimental and numerical observation of strongly nonlinear wave interaction with the interface of two SV-type systems resulting in anomalous reflected compression and transmitted rarefaction waves when the magnetically induced prestress is applied.We propose a new method of noncontact precompression based on the magnetic interaction of the first magnetic particle in the chain with a Nd-Fe-B ring magnet [25]. The magnetic force (2.38 N) is practically independent of the motion of the magnetic particle.In experiments we placed a chain of 20 nonmagnetic stain...

show abstract

“…We propose that this is due to the existence of "an acoustic-diode" effect at the interface between bead sections. As in [2][3][4][5][6], in a one-dimensional granular chain, when acoustic waves propagate from heavy to light bead sections, almost all the energy will be transmitted through the interface; for reverse propagation, most of the energy will be reflected. Because the vibration source is at the bottom, the energy in a C-A chain will be transmitted from bottom to top without reflection almost.…”

Section: Resultsmentioning

confidence: 99%

“…Following Nesterenko, most researchers focused mainly on solitary waves, especially in composite granular chains consisting of more than one type of beads with different sizes, masses, materials, etc. Several valuable results were discovered on how these solitary waves behave at the interfaces between different bead sections [2][3][4][5][6]. For example, if waves propagate from heavy to light beads, most of the energy will be transmitted through the interface; in contrast if waves propagate from light to heavy beads, most of the energy will be reflected.…”

mentioning

confidence: 99%

Study of two-section composite chain of beads under vertical vibration

Ding

Miao

2012

Chin. Sci. Bull.

View full text Add to dashboard Cite

We investigated the dynamic properties of a two-section composite chain of beads under vertical vibration. By analyzing the chain's motion, including phase-shift, mean dilation, center-of-mass displacement, and energy, we found that with different bead arrangements, the chain behaved in different ways. We believe that interaction existing at the interface between bead sections provides the underlying cause. This interaction causes different energy in different arrangements, which leads to different dynamic characteristics. -6]. For example, if waves propagate from heavy to light beads, most of the energy will be transmitted through the interface; in contrast if waves propagate from light to heavy beads, most of the energy will be reflected. Such single-direction transmission, which can be thought of as an "acoustic-diode" effect, is due to the strong nonlinearity arising from granular materials. The study on granular chain behavior under continuous vertical vibration was initially conducted by Luding et al. [7,8]. They pointed out that for a chain of beads with high coefficient of restitution (i.e. "hard" beads), as the vibrational acceleration increases, it will transite from a condensed phase (where all beads stay in contact with each other and move as a whole with the vibration source) to a fluidized phase (where all beads move independently from one another and away from the source). However, for a chain of beads with low coefficient of restitution (i.e. "soft" beads), one sees a transition from a condensed phase to a clustered phase (where all beads move away from the source but still approximately stay in contact with each other) without fluidization, essentially because the dissipation of energy in "soft" bead collisions is greater than that in "hard" beads. Luding's work was based on a chain consisting of only one type of bead (referred to as "single-section chain"). Although still focused on single-section chains, these studies were extended by others [9][10][11] to include the use of Boltzmann's equation and molecular dynamic simulation [12][13][14] to analyze the motion of the granular materials; few studies report on the behavior of composite chains.In the present paper, we describe the dynamics of composite granular chains under continuous vertical vibration.

show abstract

Nondestructive identification of impurities in granular medium

Cited by 84 publications

References 11 publications

Interaction of highly nonlinear solitary waves with linear elastic media

Interaction of highly nonlinear solitary waves with linear elastic media

Anomalous Wave Reflection at the Interface of Two Strongly Nonlinear Granular Media

Study of two-section composite chain of beads under vertical vibration

Contact Info

Product

Resources

About