Article
Engineering, Mechanical
Zhenjiang Zhou, D. Michael McFarland, Xiangle Cheng, Huancai Lu, Alexander F. Vakakis
Summary: We designed a one-dimensional granular chain as a granular container, aiming to reduce the force transmitted to a fixed boundary barrier. This chain consists of ordered heavy and light beads, exhibiting strongly nonlinear acoustics and zero tensile strength leading to bead separations and subsequent collisions. By exploring the relationship between transmitted force and mass ratio of beads, as well as the number of beads in each subchain, we derived an optimal design to minimize transmitted force. The experimental validation and estimation of damping and linear stiffness further confirmed our computational predictions. Moreover, both simulations and experiments revealed transient, propagating localized oscillations due to the strong nonlinearity of the granular chain, indicating the potential for enhanced performance compared to linear shock absorbers.
NONLINEAR DYNAMICS
(2023)
Article
Construction & Building Technology
Guoqiang Liu, Dongdong Han, Yongli Zhao, Jiupeng Zhang
Summary: In this study, the force chain characteristics of two types of asphalt mixtures were compared using the discrete element method (DEM) models. The results indicate that the dense-suspended type of asphalt mixtures has a larger number of force chains, particularly in the short length range. The transfer of external loading in asphalt mixtures mainly occurs in the vertical direction. This research provides valuable insights into the distribution and mechanism of force chains in asphalt mixtures and their role in transferring external loading.
INTERNATIONAL JOURNAL OF PAVEMENT ENGINEERING
(2022)
Article
Engineering, Multidisciplinary
Le Tang, Chao Ge, Huan-guo Guo, Qing-bo Yu, Hai-fu Wang
Summary: Force chains based mesoscale simulation was used to investigate the response behavior of aluminum-polytetrafluoroethylene (Al-PTFE) granular composites under low-velocity impact. It was found that force chains, controlled by the number and size of agglomerated Al particles, significantly influence the impact response of the material. Additionally, different sized Al particles play different roles in the mechanical properties of composites.
DEFENCE TECHNOLOGY
(2021)
Article
Engineering, Chemical
Ge Kang, You-jun Ning, Rui Liu, Peng-wan Chen, Si-ping Pang
Summary: This study utilized the continuous-discontinuous numerical method to simulate the generation of force chains and particle breakage in granular materials, revealing a direct relationship between particle breakage and the force-chain network. Small particles break first to fill voids with large displacement, while larger particles may not break as easily due to coordination number influences.
Article
Engineering, Chemical
Terunori Irie, Ryusei Yamaguchi, Sei-ichiro Watanabe, Hiroaki Katsuragi
Summary: The history dependence of rotation-induced granular deformation was experimentally examined. By capturing the deformation of a quasi-two-dimensional granular pile during rotation and analyzing the acquired image data, the relationship between the granular friction coefficient and the ratio of centrifugal force to gravity was determined. The variation of the coefficient in different rotation-rate regimes was systematically evaluated, and a force balance model was proposed to explain the observed history-dependent behaviors.
ADVANCED POWDER TECHNOLOGY
(2022)
Article
Multidisciplinary Sciences
Marcos Espinosa, Lazaro Martinez-Ortiz, Laciel Alonso-Llanes, Luis A. Rodriguez-de-Torner, Orestes Chavez-Linares, Ernesto Altshuler
Summary: In this study, we systematically explore the penetration process of imperfect solids (from stones to bodies with controlled asymmetries) into granular beds. We demonstrate that even small irregularities on the surface of an object can produce significant changes in the penetration process. Additionally, we show that the tilting and migration of sinking bodies can be accurately predicted by a simple mechanical model based on a unified force law.
Article
Construction & Building Technology
Guoqiang Liu, Dongdong Han, Cunzhen Zhu, Fengfeng Wang, Yongli Zhao
Summary: The study found that in asphalt mixtures, dense-graded asphalt mixtures generate more but shorter force chains compared to stone mastic asphalt and open-graded asphalt friction course, which are not conducive to transferring external loading. Additionally, asphalt mixtures with smaller nominal maximum aggregate size require more force chains to transfer external loading. Increasing the NMAS in asphalt mixtures can help form longer force chains.
JOURNAL OF MATERIALS IN CIVIL ENGINEERING
(2021)
Article
Engineering, Chemical
Mingrui Dong, Zhongzheng Wang, Yixiang Gan
Summary: This study adopts the discrete element method (DEM) to propose a strategy for tailoring packing structures by controlling the cohesive forces between particles. By comparing the results with previous experiments, the effectiveness of this strategy is demonstrated, and it is found that larger clusters tend to form looser packing structures. The study also reveals that the effect of cohesion varies throughout different stages of packing, which sheds light on the understanding of wet granular packing.
Article
Mathematics, Applied
Guo Deng, Christopher J. Lustri, Mason A. Porter
Summary: Nanoptera, nonlocalized solitary waves with small but nondecaying oscillations, are found to arise from the Stokes phenomenon in singularly perturbed Hertzian chains. They appear when crossing special curves (Stokes curves) in the complex plane. Exponential asymptotics techniques are used to obtain approximations of the oscillation amplitudes, revealing the accuracy of the asymptotic predictions in describing the oscillatory behavior in these chains.
SIAM JOURNAL ON APPLIED DYNAMICAL SYSTEMS
(2021)
Article
Acoustics
Li-Yang Zheng, Shilin Qu, Florian Allein, Theo Threard, Vitalyi Gusev, Vincent Tournat, Georgios Theocharis
Summary: Granular crystals are a new class of artificial elastic materials with exotic wave transport properties. This study investigates the linear wave dynamics in 1D zigzag granular chains using a spring-mass model, which shows remarkable agreement with experimental measurements. The existence of localized translational-rotational coupled modes at the ends of granular chains is confirmed, suggesting potential applications in advanced elastic wave control scenarios.
JOURNAL OF SOUND AND VIBRATION
(2022)
Article
Chemistry, Physical
Mohd Ilyas Bhat, Prerna Sharma, T. G. Sitharam, Tejas G. Murthy
Summary: This study investigates the mechanics of standing columns formed during the repose of flexible granular chains. By simulating experiments and evaluating various parameters, it is found that the links connecting the particles provide lateral stability to the column, enabling it to stand. In addition, a self-confining radial stress near the base of the column generated by the rearrangement of contact forces also plays an important role.
Article
Chemistry, Physical
Kianoosh Taghizadeh, Rohit Kumar Shrivastava, Stefan Luding
Summary: The study investigates energy transfer in disordered one-dimensional model systems mimicking force-chains in real systems, with pre-stressed random masses interacting through linearized Hertzian repulsive forces. A simpler, faster stochastic model for energy propagation is presented, with focus on pulse propagation in disordered granular chains. Increasing disorder leads to attenuation of pulsed signals, transitioning from ballistic propagation to diffusive-like characteristics, while energy localization at the source is observed. The decay of energy increases with disorder and wavenumber, transitioning from dispersive ballistic transport in ordered systems to low-pass filtering due to disorder.
Article
Mathematics, Applied
Chuanfang Ge, Jiansheng Geng, Yingfei Yi
Summary: In this paper, we investigate the presence and stability of quasi-periodic breathers in granular chains of coupled Duffing oscillators with Hertzian interaction potential that has finite smoothness. By employing the Jackson-Moser-Zehnder analytic approximation technique and KAM iterations, we not only establish the existence and linear stability of quasi-periodic breathers, but also provide explicit estimates on the localization rate, etc., depending on the smoothness order and the number of oscillating frequencies.
JOURNAL OF NONLINEAR SCIENCE
(2023)
Article
Physics, Fluids & Plasmas
T. J. Ulrich, Zhou Lei, Marcel C. Remillieux, Esteban Rougier, Harvey E. Goodman, Katelyn A. Huffman, Peter Connolly
Summary: This letter presents evidence for a mechanism underlying the nonclassical nonlinear dynamics observed in cemented granular materials. Numerical simulations show the formation of force chains within the grain-pore network when subjected to dynamic loading. The interface properties between grains and the localized increase of stress at grain-grain contacts lead to reversible decrease in macroscopic elastic properties and peculiar effects on elastic wave propagation.
Article
Engineering, Geological
Bei Zhang, Yu Huang
Summary: This study proposes an analytical model to describe the interaction between debris and baffle structures, and verifies the model using numerical data. The findings suggest that the global maximum flow velocity and flow depth should be considered in engineering design.
INTERNATIONAL JOURNAL OF GEOMECHANICS
(2022)
Article
Physics, Atomic, Molecular & Chemical
A. McDowell, E. Fukushima
APPLIED MAGNETIC RESONANCE
(2008)
Article
Materials Science, Multidisciplinary
Lori Sanfratello, Eiichi Fukushima, Robert P. Behringer
Article
Materials Science, Multidisciplinary
Lori Sanfratello, Eiichi Fukushima
Article
Geochemistry & Geophysics
Lana Chavez, Stephen Altobelli, Eiichi Fukushima, Tongsheng Zhang, Tim Nedwed, David Palandro, Len Srnka, Hans Thomann
NEAR SURFACE GEOPHYSICS
(2015)
Article
Radiology, Nuclear Medicine & Medical Imaging
Dean O. Kuethe, Natalie L. Adolphi, Eiichi Fukushima
MAGNETIC RESONANCE IN MEDICINE
(2007)
Article
Materials Science, Multidisciplinary
JE Maneval, KM Hill, BE Smith, A Caprihan, E Fukushima
Article
Radiology, Nuclear Medicine & Medical Imaging
SD Beyea, SL Codd, DO Kuethe, E Fukushima
MAGNETIC RESONANCE IMAGING
(2003)
Article
Radiology, Nuclear Medicine & Medical Imaging
A Caprihan, CFM Clewett, DO Kuethe, E Fukushima, SJ Glass
MAGNETIC RESONANCE IMAGING
(2001)
Article
Biochemical Research Methods
IV Koptyug, SA Altobelli, E Fukushima, AV Matveev, RZ Sagdeev
JOURNAL OF MAGNETIC RESONANCE
(2000)
Article
Physiology
DO Kuethe, A Caprihan, HM Gach, IJ Lowe, E Fukushima
JOURNAL OF APPLIED PHYSIOLOGY
(2000)
Article
Physics, Multidisciplinary
JD Seymour, A Caprihan, SA Altobelli, E Fukushima
PHYSICAL REVIEW LETTERS
(2000)
Article
Materials Science, Multidisciplinary
Lori Sanfratello, Arvind Caprihan, Eiichi Fukushima
Article
Physics, Atomic, Molecular & Chemical
E Fukushima, W Kaiser
APPLIED MAGNETIC RESONANCE
(2004)