Directed network topologies of smart grain sensors

[1]  David M. Walker,et al.  Analysis of Grain-Scale Measurements of Sand using kinematical Complex Networks , 2012, Int. J. Bifurc. Chaos.

[2]  Xiaojing Zheng,et al.  Multiscale mechanical behaviors in discrete materials: A review , 2010 .

[3]  A. Mees,et al.  On selecting models for nonlinear time series , 1995 .

[4]  I Vardoulakis,et al.  Effect of rolling on dissipation in fault gouges. , 2006, Physical review. E, Statistical, nonlinear, and soft matter physics.

[5]  Antoinette Tordesillas,et al.  Multiscale characterisation of diffuse granular failure , 2012 .

[6]  Zhongke Gao,et al.  Complex network from time series based on phase space reconstruction. , 2009, Chaos.

[7]  Bernhard Peters,et al.  An approach to simulate the motion of spherical and non-spherical fuel particles in combustion chambers , 2001 .

[8]  Antoinette Tordesillas,et al.  Taxonomy of granular rheology from grain property networks. , 2012, Physical review. E, Statistical, nonlinear, and soft matter physics.

[9]  Antoinette Tordesillas,et al.  A thermomicromechanical approach to multiscale continuum modeling of dense granular materials , 2008 .

[10]  R. Borst,et al.  Localisation in a Cosserat continuum under static and dynamic loading conditions , 1991 .

[11]  Amy L. Rechenmacher,et al.  Grain-scale processes governing shear band initiation and evolution in sands , 2006 .

[12]  Amy L. Rechenmacher,et al.  Evolution of force chains in shear bands in sands , 2010 .

[13]  Gioacchino Viggiani,et al.  Discrete and continuum analysis of localised deformation in sand using X-ray mu CT and volumetric digital image correlation , 2010 .

[14]  Kevin Judd,et al.  Embedding as a modeling problem , 1998 .

[15]  Antoinette Tordesillas,et al.  Force cycles and force chains. , 2010, Physical review. E, Statistical, nonlinear, and soft matter physics.

[16]  David M. Walker,et al.  Topological evolution in dense granular materials: A complex networks perspective , 2010 .

[17]  J. Peters,et al.  Isostaticity in Cosserat continuum , 2012 .

[18]  Yong-Ming Guo,et al.  Influence of normal stress and grain shape on granular friction: Results of discrete element simulations , 2004 .

[19]  K. Maeda,et al.  Stress-chain based micromechanics of sand with grain shape effect , 2010 .

[20]  Antoinette Tordesillas,et al.  Force chain buckling, unjamming transitions and shear banding in dense granular assemblies , 2007 .

[21]  P. Guo Critical length of force chains and shear band thickness in dense granular materials , 2012 .

[22]  M. Oda,et al.  Microstructure of shear bands and its relation to the mechanisms of dilatancy and failure of dense granular soils , 1998 .

[23]  M. Small,et al.  Detecting periodicity in experimental data using linear modeling techniques , 1998, physics/9810021.

[24]  Ernest S. Berney,et al.  Percolation Threshold of Sand-Clay Binary Mixtures , 2010 .

[25]  Lucas Lacasa,et al.  From time series to complex networks: The visibility graph , 2008, Proceedings of the National Academy of Sciences.

[26]  Xiaoxing Liu,et al.  Numerical study of structural evolution in shear band , 2012 .

[27]  Jukka Tuhkuri,et al.  Pressure distributions and force chains during simulated ice rubbling against sloped structures , 2013 .

[28]  Alsidqi Hasan,et al.  Experimental assessment of 3D particle-to-particle interaction within sheared sand using synchrotron microtomography , 2010 .

[29]  David M. Walker,et al.  Evolution of functional connectivity in contact and force chain networks: Feature vectors, k -cores and minimal cycles , 2010 .

[30]  Antoinette Tordesillas,et al.  Mesoscale Measures of Nonaffine Deformation in Dense Granular Assemblies , 2008 .

[31]  E. Flekkøy,et al.  Patterns and flow in frictional fluid dynamics , 2011, Nature communications.

[32]  F. Radjai,et al.  Multiscale force networks in highly polydisperse granular media. , 2009, Physical review letters.

[33]  S. Hall,et al.  Grain-scale experimental investigation of localised deformation in sand: a discrete particle tracking approach , 2012 .

[34]  M Small,et al.  Complex network from pseudoperiodic time series: topology versus dynamics. , 2006, Physical review letters.

[35]  L. Vu-Quoc,et al.  A 3-D discrete-element method for dry granular flows of ellipsoidal particles , 2000 .

[36]  Antoinette Tordesillas,et al.  Force-chain buckling in granular media: a structural mechanics perspective , 2010, Philosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences.

[37]  Farhang Radjai,et al.  Rheology, force transmission, and shear instabilities in frictional granular media from biaxial numerical tests using the contact dynamics method , 2005 .

[38]  Toshihiro Tanizawa,et al.  Networks with time structure from time series , 2012, 1205.4811.

[39]  P. Smart Discussion: Microstructure in shear band observed by microfocus X-ray computed tomography , 2005 .

[40]  A. Tordesillas,et al.  Statistical properties of a 2D granular material subjected to cyclic shear , 2009, 0906.2416.

[41]  M. Rudman,et al.  Macroscopic dynamics of flocculated colloidal suspensions , 2010 .

[42]  S. Walsh,et al.  Development of micromechanical models for granular media , 2007 .

[43]  Denis Weaire,et al.  The rheology of foam , 2008 .

[44]  Antoinette Tordesillas,et al.  On the modeling of confined buckling of force chains , 2009 .

[45]  Antoinette Tordesillas,et al.  How do interparticle contact friction, packing density and degree of polydispersity affect force propagation in particulate assemblies? , 2006 .

[46]  Amy L. Rechenmacher,et al.  Characterization of mesoscale instabilities in localized granular shear using digital image correlation , 2011 .

[47]  P. Rognon,et al.  Soft Dynamics simulation. 2. Elastic spheres undergoing a T1 process in a viscous fluid , 2009, The European physical journal. E, Soft matter.

[48]  P. Cundall,et al.  A discrete numerical model for granular assemblies , 1979 .

[49]  Masanobu Oda,et al.  Study on couple stress and shear band development in granular media based on numerical simulation analyses , 2000 .

[50]  Milan Jirásek,et al.  Nonlocal integral formulations of plasticity and damage : Survey of progress , 2002 .

[51]  S. McNamara,et al.  What triggers failure in frictional granular assemblies? , 2009, Physical review. E, Statistical, nonlinear, and soft matter physics.

[52]  K. Daniels,et al.  Granular Controls on Periodicity of Stick-Slip Events: Kinematics and Force-Chains in an Experimental Fault , 2011 .

[53]  P. Coussot,et al.  Rheophysics of pastes: a review of microscopic modelling approaches. , 2007, Soft matter.

[54]  Michael Small,et al.  Superfamily phenomena and motifs of networks induced from time series , 2008, Proceedings of the National Academy of Sciences.

[55]  S. Stoyanov,et al.  Elastic Langmuir layers and membranes subjected to unidirectional compression: wrinkling and collapse. , 2010, Langmuir : the ACS journal of surfaces and colloids.

[56]  B. Hobbs,et al.  Fracture pattern formation in frictional, cohesive, granular material , 2010, Philosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences.