Energy transfer and influence of excitation frequency in granular materials from the perspective of Fourier transform

Wang, Jiao; Chu, Xihua; Jiang, Qinghui; Xiu, Chenxi

doi:10.1016/j.powtec.2019.08.061

Cited by 6 publications

(6 citation statements)

References 31 publications

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“…Dispersion is an important wave propagation behavior in granular media such as granular materials, crystals, and structures, and it is closely related to the microstructure of granular media. Discrete particle models 15–18 can conveniently simulate the relationship between dispersion and microstructure of granular media, but they are limited by the computational scale. Traditional continuous medium models 28 can quantitatively describe dispersion behaviors, but they are not enough to accurately simulate the effect of microstructure.…”

Section: Discussionmentioning

confidence: 99%

“…Discrete particle models 15–18 or continuous medium models 19–22 are both applied to simulate wave propagations and dispersions in granular crystals. Discrete particle models are closer to discrete natures of granular crystals, therefore, wave propagations can be directly described from the microscopic view using the energy transfer among particles.…”

Section: Introductionmentioning

confidence: 99%

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Study on dispersion and wave velocity in 2D elliptic granular crystals by a micromechanics-based micromorphic model

Xiu

Chu

2022

Advances in Mechanical Engineering

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This study considers two-dimensional elliptic granular crystals respectively with different aspect ratios. Using a micromechanics-based micromorphic model, macroscopic micromorphic constitutive modulus tensors of elliptic granular crystals are obtained. Two modes of Taylor expansion of relative displacements are used to establish contact relation between particles. This study obtains micromorphic transverse-rotational and longitudinal waves. Obvious dispersions of micromorphic waves are given in 2D elliptic granular crystals. With increase of aspect ratio, width of frequency band gap increases when wave propagates along [Formula: see text] direction but decreases when wave propagates along [Formula: see text] direction. Two modes of Taylor expansion of relative displacements only have influence on dispersions and frequency band gap of transverse-rotational waves. Velocities of longitudinal and transverse-rotational waves first decrease to zero, keep zero for a range of frequency and then increase to a larger wave velocity with increase of frequency for different aspect ratios. The situation with a larger aspect ratio leads to larger transverse-rotational and longitudinal velocities, and ratio between transverse-rotational and longitudinal velocities decreases from 0.7 to 0.59, when wave propagates along [Formula: see text] direction. However, it leads to smaller transverse-rotational and longitudinal velocities, and ratio between two velocities decreases from 0.88 to 0.56, when wave propagates along [Formula: see text] direction.

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Section: Discussionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Study on dispersion and wave velocity in 2D elliptic granular crystals by a micromechanics-based micromorphic model

Xiu

Chu

2022

Advances in Mechanical Engineering

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“…Binary granular materials are a kind of common granular materials composed of particles of two different sizes. Generally, the size ratio of small particles to large particles (PSR) and the volume fraction of small particles (VS) are key factors affecting the properties of binary granular materials [7][8][9][10][11][12][13]. The application of binary granular materials with different packing methods is different.…”

Section: Introductionmentioning

confidence: 99%

“…For regular packing, binary granular materials are called binary granular crystals or metamaterials. At present, the properties of wave or acoustics in binary granular crystals are mainly focused [12,13], which is widely used in building shock absorption and sound insulation. However, in some engineering applications, such as for building exterior walls, a certain bearing capacity of binary granular metamaterials is required.…”

Section: Introductionmentioning

confidence: 99%

The Effects of the Particle Size Ratio on the Behaviors of Binary Granular Materials

Yang¹,

Chu²

2023

Computer Modeling in Engineering &Amp; Sciences

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The particle size ratio (PSR) is an important parameter for binary granular materials, which may a ect the microstructure and macro behaviors of granular materials. However, the e ect of particle ratio on granular assemblies with di erent arrangements is still unclear. To explore and further clarify the e ect of PSR in di erent packing structures, three types of numerical samples with regular, layered, and random packing are designed. Numerical results show that PSR has signi cant e ects on binary granular samples with regular packing. The larger the PSR, the stronger the strength, the larger the modulus, and the smaller the angle between the shear band and the load direction. And a theoretical solution of the peak stress ratio vs. PSR is obtained for regular packing, and the results by DEM are in good agreement with the theoretical solution. Under layered packing, PSR has little e ect on peak stress ratio due to similar microstructure obtained with the changing of PSR. The modulus slightly increased with the increase of PSR. Under random packing with small grain content of 50%, PSR has little e ect in the range of 0.5-0.9, but in a larger range, larger PSR leads to greater modulus.

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“…At the micro scale, the DEM is closer to the physical essence of granular materials, and it is also convenient to simulate the wave propagation through the energy transfer among particles, which makes it convenient to investigate the influences of microscopic geometrical information such as particle sizes, particle arrangements and contact constitutive relationships on the wave propagation from the microscopic level. However, studies on the wave propagation by the DEM [12,[15][16][17][18][19][20][21][22] are still at a qualitative or initial quantification stage mostly. This is mainly because the conception of wave is under the continuum framework, and there are still problems about how to describe the wave propagation quantitatively by the DEM simulations and how to measure the influence of the discrete information through homogenization on the wave propagation.…”

Section: Introductionmentioning

confidence: 99%

A micromechanics-based micromorphic model for granular materials and prediction on dispersion behaviors

et al. 2020

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One of the purposes in this study is to develop a micromorphic continuum model for granular materials based on a micromechanics approach. A symmetric curvature tensor is proposed in this model, and a symmetric couple stress tensor conjugated with the symmetric curvature tensor is derived. In addition, a symmetric stress tensor is obtained conjugating a symmetric strain tensor. The presented model provides a complete deformation pattern for granular materials by considering the decomposition for motions (displacement and rotation) of particles. Consequently, the macroscopic elastic constitutive relationships and constitutive moduli are derived in expressions of the microstructural information. Furthermore, the balance equations and boundary conditions are obtained for the presented micromorphic model. The other purpose in this study is to predict the dispersion behaviors of granular materials using the micromechanics-based micromorphic model. Five wave modes are predicted based on the presented model, including coupled transverse-rotational transverse, longitudinal, rotational longitudinal, transverse shear and rotational transverse waves. Investigating the propagations of these waves in the elastic granular media, the dispersion behaviors are predicted for coupled transverse-rotational transverse, longitudinal, rotational longitudinal waves, and the corresponding frequency band gaps are obtained.

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Energy transfer and influence of excitation frequency in granular materials from the perspective of Fourier transform

Cited by 6 publications

References 31 publications

Study on dispersion and wave velocity in 2D elliptic granular crystals by a micromechanics-based micromorphic model

Study on dispersion and wave velocity in 2D elliptic granular crystals by a micromechanics-based micromorphic model

The Effects of the Particle Size Ratio on the Behaviors of Binary Granular Materials

A micromechanics-based micromorphic model for granular materials and prediction on dispersion behaviors

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