Academic literature on the topic 'Granular Dynamics'

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Journal articles on the topic "Granular Dynamics"

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Hayakawa, Hisao, and Daniel C. Hong. "Dynamics of Granular Compaction." International Journal of Bifurcation and Chaos 07, no. 05 (May 1997): 1159–65. http://dx.doi.org/10.1142/s0218127497000960.

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We investigate the way the disordered granular materials organize themselves in a vibrating bed, the intensity of which is given by the dimensionless parameter Γ. Based on the recognition that an assembly of mono-disperse and cohesionless granular materials is a collection of spinless hard sphere Fermions, we first demonstrate that the time averaged steady state density profile for weak excitation with Γ ≈ 1 is given by the Fermi distribution. This is consistent with the observed experimental data and the results of Molecular dynamics. We then present a dynamic model to study the dynamics of granular compaction, namely the dynamic evolution of the initial state ultimately relaxing toward this steady state. Our preliminary investigation reveals that the relaxation is exponential, which is not inconsistent with the available experimental data for low Γ.
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Sánchez, Rodrigo. "Granular dynamics and gravity." Soft Matter 16, no. 40 (2020): 9253–61. http://dx.doi.org/10.1039/d0sm01203c.

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Herrmann, Hans J., S. Luding, and R. Cafiero. "Dynamics of granular systems." Physica A: Statistical Mechanics and its Applications 295, no. 1-2 (June 2001): 93–100. http://dx.doi.org/10.1016/s0378-4371(01)00059-0.

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LOGUINOVA, NADEJDA, and YURI VLASOV. "OSCILLATIONS IN GRANULAR DYNAMICS." Advances in Complex Systems 10, no. 03 (September 2007): 287–99. http://dx.doi.org/10.1142/s0219525907001203.

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A new effect of granular dynamics in a bounded domain is reported. Oscillations arise when the system evolves from a given (non-equilibrium) initial state. The oscillations obtained are of importance for vibrated granular systems since they reveal some kind of fundamental frequencies and they lead to resonant frequencies under vibration.
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Makse, Hernán A., Robin C. Ball, H. Eugene Stanley, and Stephen Warr. "Dynamics of granular stratification." Physical Review E 58, no. 3 (September 1, 1998): 3357–67. http://dx.doi.org/10.1103/physreve.58.3357.

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Mehta, A., G. C. Barker, and J. M. Luck. "Heterogeneities in granular dynamics." Proceedings of the National Academy of Sciences 105, no. 24 (June 9, 2008): 8244–49. http://dx.doi.org/10.1073/pnas.0711733105.

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Johnson, Paul A., and Xiaoping Jia. "Nonlinear dynamics, granular media and dynamic earthquake triggering." Nature 437, no. 7060 (October 2005): 871–74. http://dx.doi.org/10.1038/nature04015.

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Murdoch, Naomi, Patrick Michel, Derek C. Richardson, Kerstin Nordstrom, Christian R. Berardi, Simon F. Green, and Wolfgang Losert. "Numerical simulations of granular dynamics II: Particle dynamics in a shaken granular material." Icarus 219, no. 1 (May 2012): 321–35. http://dx.doi.org/10.1016/j.icarus.2012.03.006.

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Goh, Y. K., and R. L. Jacobs. "Coarsening dynamics of granular heaplets in tapped granular layers." New Journal of Physics 4 (October 28, 2002): 81. http://dx.doi.org/10.1088/1367-2630/4/1/381.

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Armanini, Aronne, Luigi Fraccarollo, and Michele Larcher. "Liquid–granular channel flow dynamics." Powder Technology 182, no. 2 (February 2008): 218–27. http://dx.doi.org/10.1016/j.powtec.2007.08.012.

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Dissertations / Theses on the topic "Granular Dynamics"

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Zeilstra, Christiaan. "Granular dynamics in vibrated beds." Enschede : University of Twente [Host], 2007. http://doc.utwente.nl/57836.

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Higgins, Anthony. "The dynamics of granular materials." Thesis, University of Cambridge, 1992. http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.259539.

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Isert, Nathan. "Dynamics of levitated granular materials." [S.l. : s.n.], 2006. http://nbn-resolving.de/urn:nbn:de:bsz:352-opus-27683.

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Laufer, Michael Robert. "Granular Dynamics in Pebble Bed Reactor Cores." Thesis, University of California, Berkeley, 2013. http://pqdtopen.proquest.com/#viewpdf?dispub=3593891.

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This study focused on developing a better understanding of granular dynamics in pebble bed reactor cores through experimental work and computer simulations. The work completed includes analysis of pebble motion data from three scaled experiments based on the annular core of the Pebble Bed Fluoride Salt-Cooled High- Temperature Reactor (PB-FHR). The experiments are accompanied by the development of a new discrete element simulation code, GRECO, which is designed to offer a simple user interface and simplified two-dimensional system that can be used for iterative purposes in the preliminary phases of core design. The results of this study are focused on the PB-FHR, but can easily be extended for gas-cooled reactor designs.

Experimental results are presented for three Pebble Recirculation Experiments (PREX). PREX 2 and 3.0 are conventional gravity-dominated granular systems based on the annular PB-FHR core design for a 900 MWth commercial prototype plant and a 16 MWth test reactor, respectively. Detailed results are presented for the pebble velocity field, mixing at the radial zone interfaces, and pebble residence times. A new Monte Carlo algorithm was developed to study the residence time distributions of pebbles in different radial zones. These dry experiments demonstrated the basic viability of radial pebble zoning in cores with diverging geometry before pebbles reach the active core.

Results are also presented from PREX 3.1, a scaled facility that uses simulant materials to evaluate the impact of coupled fluid drag forces on the granular dynamics in the PB-FHR core. PREX 3.1 was used to collect first of a kind pebble motion data in a multidimensional porous media flow field. Pebble motion data were collected for a range of axial and cross fluid flow configurations where the drag forces range from half the buoyancy force up to ten times greater than the buoyancy force. Detailed analysis is presented for the pebble velocity field, mixing behavior, and residence time distributions for each fluid flow configuration.

The axial flow configurations in PREX 3.1 showed small changes in pebble motion compared to a reference case with no fluid flow and showed similar overall behavior to PREX 3.0. This suggests that dry experiments can be used for core designs with uniform one-dimensional coolant flow early in the design process at greatly reduced cost. Significant differences in pebble residence times were observed in the cross fluid flow configurations, but these were not accompanied by an overall horizontal diffusion bias. Radial zones showed only a small shift in position due to mixing in the diverging region and remained stable in the active core. The results from this study support the overall viability of the annular PB-FHR core by demonstrating consistent granular flow behavior in the presence of complex reflector geometries and multidimensional fluid flow fields.

GRECO simulations were performed for each of the experiments in this study in order to develop a preliminary validation basis and to understand for which applications the code can provide useful analysis. Overall, the GRECO simulation results showed excellent agreement with the gravity-dominated PREX experiments. Local velocity errors were found to be generally within 10-15% of the experimental data. Average radial zone interface positions were predicted within two pebble diameters. GRECO simulations over predicted the amount of mixing around the average radial zone interface position and therefore can be treated as a conservative upper bound when used in neutronics analysis. Residence time distributions from the GRECO velocity data based on the Monte Carlo algorithm closely matched those derived from the experiment velocity statistics. GRECO simulation results for PREX 3.1 with coupled drag forces showed larger errors compared to the experimental data, particularly in the cases with cross fluid flow. The large discrepancies suggest that GRECO results in systems with coupled fluid drag forces cannot be used with high confidence at this point and future development work on coupled pebble and fluid dynamics with multidimensional fluid flow fields is required.

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Sanders, Duncan Alexander. "Intruder particle dynamics in vibrated granular beds." Thesis, University of Nottingham, 2006. http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.432036.

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Zheng, Li-Yang. "Granular monolayers : wave dynamics and topological properties." Thesis, Le Mans, 2017. http://www.theses.fr/2017LEMA1035/document.

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Les cristaux granulaires sont des structures périodiques de particules disposées en réseau cristallin. Les interactions entre ces billes peuvent être modélisées par leurs contacts, qui ont des dimensions et des masses effectives beaucoup plus petites que celles des billes. Ceci induit une propagation d'ondes élastiques dans les structures granulaires avec des vitesses significativement plus lentes que dans le matériau des grains individuels. En outre, en raison de forces de cisaillement non centrales, les rotations de particules peuvent être initiées, conduisant à des modes de phononiques supplémentaires dans ces cristaux. Dans ce manuscrit, on étudie la propagation d’ondes dans les cristaux granulaires monocouche bidimensionnels avec un mouvement des particules hors-plan ou dans le plan. Les propriétés phononiques sont étudiées, y compris les points de Dirac, les modes de fréquence nulle, les modes à vitesse de groupe nulle et leur transformation en modes de propagation lente. En outre, en présence de bords, on peut prévoir également des ondes de bord élastiques à fréquence nulle et extrêmement lentes dans des cristaux granulaires en « nid d'abeille » (graphène granulaire). En outre, les propriétés topologiques des ondes de bord rotationelles-transverses dans un graphène granulaire sont théoriquement démontrées. En induisant une transition topologique, qui transforme l'ordre topologique du graphène granulaire de trivial en non trivial, on peut observer le transport de bord topologique dans le graphène granulaire. Les théories développées pourraient mener potentiellement à des applications sur le contrôle des ondes élastiques par des structures granulaires
Granular crystals are spatially periodic structures of elastic particles arranged in crystal lattices. The interactions between particles take place via their elastic interconnections, which are of much smaller dimensions and weights than the beads. This induces propagation of elastic waves in granular structures at significantly slower velocities than in the individual grains. In addition, due to the existence of non-central shear forces, rotations of particles can be initiated, leading to extra phononic modes in the crystals. In the manuscript, wave dynamics in two-dimensional monolayer granular crystals with either out-of-plane or in-plane particle motion is studied. The phononic properties are investigated, including Dirac points, zero-frequency modes, zero-group-velocity modes and their transformation into slow propagating phononic modes. Furthermore, in the presence of edges/boundaries, zero-frequency and extremely slow elastic edge waves can be also predicted in mechanical granular honeycomb crystals (granular graphene). In addition, topological properties of rotational edge waves in a granular graphene are theoretically demonstrated. By inducing topological transition, which turns the topological order of granular graphene from trivial to nontrivial, topological edge transport in the granular graphene can be observed. The developed theories could promote the potential applications of designed granular structures with novel elastic wave propagation properties
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Hoomans, Bob Petrus Bernardus. "Granular dynamics of gas-solid two-phase flows." Enschede : University of Twente [Host], 2000. http://doc.utwente.nl/9461.

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SIGAUD, LUCAS MAURICIO. "STUDIES ON THE DYNAMICS OF DENSE GRANULAR SYSTEMS." PONTIFÍCIA UNIVERSIDADE CATÓLICA DO RIO DE JANEIRO, 2009. http://www.maxwell.vrac.puc-rio.br/Busca_etds.php?strSecao=resultado&nrSeq=15153@1.

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FUNDAÇÃO DE APOIO À PESQUISA DO ESTADO DO RIO DE JANEIRO
Materiais granulares, por sua enorme gama de aplicaçõesindustriais (da indústria alimentícia à astrofísica), vêm sendo cada vez mais estudados durante as últimas duas décadas. No entanto, muito da descrição física inerente ao comportamento deste tipo de material ainda elude os cientistas, tornando este um campo particularmente rico de investigação. Dentre as questões insolutas, estão algumas de crescente interesse, como os mecanismos de fluxo e transporte de grãos, que descrevem fenômenos como a difusão correlacionada e a formação de bandas de cisalhamento, por exemplo. Através de modelos fenomenológicos e matemáticos, este trabalho visa melhorar a compreensão destes fenômenos e dos mecanismos por trás deles, em especial a participação fundamental dos arcos de forças formados pelos grãos. Através de um modelo fenomenológico razoavelmente simples e de simulações computacionais, o papel dos arcos fica evidente ao se observar, nas simulações, o comportamento característico da formação de bandas de cisalhamento, reproduzindo resultados experimentais e previsões de modelos teóricos encontrados na literatura. Concomitantemente, foi desenvolvido um modelo matemático teórico para se descrever a difusão correlacionada de grãos, fenômeno que acreditamos estar baseado no mesmo princípio de transporte através dos arcos, reproduzindo o comportamento qualitativo de simulações computacionais.
Granular materials, due to their huge amount of industrial applications (from food industry to astrophysics), have been the object of an increasing number of studies throughout the last couple of decades. Much of the physical description concerning the behaviour of this kind of material, however, still eludes scientists, turning this field of research into a particularly rich one. Among the unsolved questions in this area there are some of growing interest, such as the mechanisms of grains transport and flux, which describe phenomena like correlated diffusion and the formation of shear bands, for example. By means of phenomenological and mathematical models, this work tries to improve the understanding of these phenomena and the mechanisms behind them, particularly the fundamental role of arches of forces created by the grains. Using a relatively simple phenomenological model and computer simulations, the role of arches becomes evident when it is observed, in the simulations, the characteristic behaviour of shear bands formation, reproducing experimental results and the predictions of theoretical models found in the literature. Simultaneously, a theoretical mathematical model was developed to describe granular correlated diffusion, a phenomenon we believe is based on the same principle of transportation by means of arches, reproducing the qualitative behaviour of computer simulations.
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Wang, Da. "Accelerated granular matter simulation." Doctoral thesis, Umeå universitet, Institutionen för fysik, 2015. http://urn.kb.se/resolve?urn=urn:nbn:se:umu:diva-110164.

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Modeling and simulation of granular matter has important applications in both natural science and industry. One widely used method is the discrete element method (DEM). It can be used for simulating granular matter in the gaseous, liquid as well as solid regime whereas alternative methods are in general applicable to only one. Discrete element analysis of large systems is, however, limited by long computational time. A number of solutions to radically improve the computational efficiency of DEM simulations are developed and analysed. These include treating the material as a nonsmooth dynamical system and methods for reducing the computational effort for solving the complementarity problem that arise from implicit treatment of the contact laws. This allow for large time-step integration and ultimately more and faster simulation studies or analysis of more complex systems. Acceleration methods that can reduce the computational complexity and degrees of freedom have been invented. These solutions are investigated in numerical experiments, validated using experimental data and applied for design exploration of iron ore pelletising systems.

This work has been generously supported by Algoryx Simulation, LKAB (dnr 223-

2442-09), Umeå University and VINNOVA (2014-01901).

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Holladay, Seth R. "Optimized Simulation of Granular Materials." BYU ScholarsArchive, 2013. https://scholarsarchive.byu.edu/etd/3856.

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Visual effects for film and animation often require simulated granular materials, such as sand, wheat, or dirt, to meet a director's needs. Simulating granular materials can be time consuming, in both computation and labor, as these particulate materials have complex behavior and an enormous amount of small-scale detail. Furthermore, a single cubic meter of granular material, where each grain is a cubic millimeter, would contain a billion granules, and simulating all such interacting granules would take an impractical amount of time for productions. This calls for a simplified model for granular materials that retains high surface detail and granular behavior yet requires significantly less computational time. Our proposed method simulates a minimal number of individual granules while retaining particulate detail on the surface by supporting surface particles with simplified interior granular models. We introduce a multi-state model where, depending on the material state of the interior granules, we replace interior granules with a simplified simulation model for the state they are in and automate the transitions between those states. The majority of simulation time can thus be focused on visible portions of the material, reducing the time spent on non-visible portions, while maintaining the appearance and behavior of the mass as a whole.
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Books on the topic "Granular Dynamics"

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Pöschel, Thorsten, and Nikolai Brilliantov, eds. Granular Gas Dynamics. Berlin, Heidelberg: Springer Berlin Heidelberg, 2003. http://dx.doi.org/10.1007/b12449.

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Helbing, Dirk. Traffic and Granular Flow '99: Social, Traffic, and Granular Dynamics. Berlin, Heidelberg: Springer Berlin Heidelberg, 2000.

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Thomas, Schwager, ed. Computational granular dynamics: Models and algorithms. Berlin: Springer-Verlag, 2005.

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Pöschel, Thorsten. Computational granular dynamics: Models and algorithms. Berlin: Springer-Verlag, 2004.

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Halsey, Thomas. Challenges in granular physics. Singapore: World Scientific, 2003.

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Pudasaini, Shiva P. Avalanche Dynamics: Dynamics of Rapid Flows of Dense Granular Avalanches. Berlin, New York: Springer, 2006.

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Kolumban, Hutter, ed. Avalanche dynamics: Dynamics of rapid flows of dense granular avalanches. Berlin: Springer, 2007.

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Zamankhan, Parsa. Complex flow dynamics in dense granular flows. Lappeenranta: Lappeenranta University of Technology, 2004.

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Sharma, Ishan. Shapes and Dynamics of Granular Minor Planets. Cham: Springer International Publishing, 2017. http://dx.doi.org/10.1007/978-3-319-40490-5.

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Yezhi, Sun, ed. Granular dynamic theory and its applications. Beijing: Metallurgical Industry Press, 2008.

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Book chapters on the topic "Granular Dynamics"

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McNamara, Sean, and Eric Falcon. "Vibrated Granular Media as Experimentally Realizable Granular Gases." In Granular Gas Dynamics, 347–66. Berlin, Heidelberg: Springer Berlin Heidelberg, 2003. http://dx.doi.org/10.1007/978-3-540-39843-1_15.

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Luding, Stefan, Raffaele Cafiero, and Hans J. Herrmann. "Driven Granular Gases." In Granular Gas Dynamics, 293–316. Berlin, Heidelberg: Springer Berlin Heidelberg, 2003. http://dx.doi.org/10.1007/978-3-540-39843-1_12.

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Ernst, Matthieu H., and Ricardo Brito. "Asymptotic Solutions of the Nonlinear Boltzmann Equation for Dissipative Systems." In Granular Gas Dynamics, 3–36. Berlin, Heidelberg: Springer Berlin Heidelberg, 2003. http://dx.doi.org/10.1007/978-3-540-39843-1_1.

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Bromberg, Yaron, Eli Livne, and Baruch Meerson. "Development of a Density Inversion in Driven Granular Gases." In Granular Gas Dynamics, 251–66. Berlin, Heidelberg: Springer Berlin Heidelberg, 2003. http://dx.doi.org/10.1007/978-3-540-39843-1_10.

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Lun, Cliff K. K., and Stuart B. Savage. "Kinetic Theory for Inertia Flows of Dilute Turbulent Gas-Solids Mixtures." In Granular Gas Dynamics, 267–89. Berlin, Heidelberg: Springer Berlin Heidelberg, 2003. http://dx.doi.org/10.1007/978-3-540-39843-1_11.

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Soto, Rodrigo, Médéric Argentina, and Marcel G. Clerc. "Van der Waals-Like Transition in Fluidized Granular Matter." In Granular Gas Dynamics, 317–33. Berlin, Heidelberg: Springer Berlin Heidelberg, 2003. http://dx.doi.org/10.1007/978-3-540-39843-1_13.

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van der Weele, Ko, Devaraj van der Meer, and Detlef Lohse. "Birth and Sudden Death of a Granular Cluster." In Granular Gas Dynamics, 335–46. Berlin, Heidelberg: Springer Berlin Heidelberg, 2003. http://dx.doi.org/10.1007/978-3-540-39843-1_14.

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Goldhirsch, Isaac, S. Henri Noskowicz, and Oded Bar-Lev. "The Homogeneous Cooling State Revisited." In Granular Gas Dynamics, 37–63. Berlin, Heidelberg: Springer Berlin Heidelberg, 2003. http://dx.doi.org/10.1007/978-3-540-39843-1_2.

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Ben-Naim, Eli, and Paul L. Krapivsky. "The Inelastic Maxwell Model." In Granular Gas Dynamics, 65–94. Berlin, Heidelberg: Springer Berlin Heidelberg, 2003. http://dx.doi.org/10.1007/978-3-540-39843-1_3.

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Baldassarri, Andrea, Umberto Marini Bettolo Marconi, and Andrea Puglisi. "Velocity Fluctuations in Cooling Granular Gases." In Granular Gas Dynamics, 95–117. Berlin, Heidelberg: Springer Berlin Heidelberg, 2003. http://dx.doi.org/10.1007/978-3-540-39843-1_4.

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Conference papers on the topic "Granular Dynamics"

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Kishino, Y. "Granular Flow Simulation by Granular Element Method." In SLOW DYNAMICS IN COMPLEX SYSTEMS: 3rd International Symposium on Slow Dynamics in Complex Systems. AIP, 2004. http://dx.doi.org/10.1063/1.1764210.

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Surovikin, Yury V., Vladimir A. Likholobov, and Anna V. Syrieva. "Properties of the granular nanocomposite pyrocarbon matrix." In 2016 Dynamics of Systems, Mechanisms and Machines (Dynamics). IEEE, 2016. http://dx.doi.org/10.1109/dynamics.2016.7819092.

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To, Kiwing. "Dynamics of Granular Chain." In SLOW DYNAMICS IN COMPLEX SYSTEMS: 3rd International Symposium on Slow Dynamics in Complex Systems. AIP, 2004. http://dx.doi.org/10.1063/1.1764127.

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Schulz, B. M. "The dynamics of granular matter." In SLOW DYNAMICS IN COMPLEX SYSTEMS: 3rd International Symposium on Slow Dynamics in Complex Systems. AIP, 2004. http://dx.doi.org/10.1063/1.1764086.

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Starosvetsky, Yuli, and Alexander F. Vakakis. "Nonlinear Dynamics of Granular Chains." In ASME 2010 International Design Engineering Technical Conferences and Computers and Information in Engineering Conference. ASMEDC, 2010. http://dx.doi.org/10.1115/detc2010-29208.

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We study strongly nonlinear traveling waves in one-dimensional granular chains with no pre-compression. We directly study the discrete, strongly nonlinear governing equations of motion of these media without resorting to continuum approximations or homogenization, which enables us to compute families of stable multi-hump traveling wave solutions with arbitrary wavelengths. We develop systematic semi–analytical approaches for computing different families of nonlinear traveling waves parametrized by spatial periodicity (wavenumber) and energy. Our findings indicate that homogeneous granular chains possess complex nonlinear dynamics, including the capacity for intrinsic nonlinear energy transfer.
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Santos, Andrés, and Takashi Abe. "Longitudinal Viscous Flow in Granular Gases." In RARIFIED GAS DYNAMICS: Proceedings of the 26th International Symposium on Rarified Gas Dynamics. AIP, 2008. http://dx.doi.org/10.1063/1.3076613.

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Kitsunezaki, So. "Initial Deformation Process in Granular Matter." In SLOW DYNAMICS IN COMPLEX SYSTEMS: 3rd International Symposium on Slow Dynamics in Complex Systems. AIP, 2004. http://dx.doi.org/10.1063/1.1764100.

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Lathouwers, Danny, and Josette Bellan. "Modeling of dense reactive granular flows." In 15th AIAA Computational Fluid Dynamics Conference. Reston, Virigina: American Institute of Aeronautics and Astronautics, 2001. http://dx.doi.org/10.2514/6.2001-3033.

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Ritvanen, J. "Experimental and Numerical Investigation of Annular Granular Shear Flows." In FLOW DYNAMICS: The Second International Conference on Flow Dynamics. AIP, 2006. http://dx.doi.org/10.1063/1.2204499.

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Otsuki, Michio, Hisao Hayakawa, and Takashi Abe. "Long-range Correlation in Sheared Granular Fluids." In RARIFIED GAS DYNAMICS: Proceedings of the 26th International Symposium on Rarified Gas Dynamics. AIP, 2008. http://dx.doi.org/10.1063/1.3076543.

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Reports on the topic "Granular Dynamics"

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Swinney, Harry L. Dynamics of Granular Materials and Particle-Laden Flows. Office of Scientific and Technical Information (OSTI), April 2007. http://dx.doi.org/10.2172/902188.

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Swinney, Harry L. Dynamics of Granular Materials and Particle-Laden Flows. Office of Scientific and Technical Information (OSTI), July 2007. http://dx.doi.org/10.2172/909616.

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Lee, Jingeol. Measurements of granular flow dynamics with high speed digital images. Office of Scientific and Technical Information (OSTI), January 1994. http://dx.doi.org/10.2172/425294.

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Sen, Surajit. Dynamics and Control of Mechanical Energy Propagation in Granular Systems. Fort Belvoir, VA: Defense Technical Information Center, January 2012. http://dx.doi.org/10.21236/ada587076.

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Lieou, Charles Ka Cheong. Glassy dynamics in granular matter through flow heterogeneities: Shear-Transformation-Zone theory and applications in granular flow and nonlinear acoustics. Office of Scientific and Technical Information (OSTI), October 2018. http://dx.doi.org/10.2172/1477599.

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Zhou, Min. Time-Resolved Analysis of the Dynamic Behavior of Granular Materials. Fort Belvoir, VA: Defense Technical Information Center, December 1999. http://dx.doi.org/10.21236/ada373452.

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Kostoff, Ronald N., J. A. del Rio, Esther O. Garcia, Ana M. Ramirez, and James A. Humenik. Science and Technology Text Mining: Citation Mining of Dynamic Granular Systems. Fort Belvoir, VA: Defense Technical Information Center, January 2003. http://dx.doi.org/10.21236/ada418862.

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Shukla, Arun, and Martin H. Sadd. Studies of the Effect of Microstructure on the Dynamic Behavior of Granular and Particulate Media (First Year Report). Fort Belvoir, VA: Defense Technical Information Center, March 1994. http://dx.doi.org/10.21236/ada279012.

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