Behaviour of granular matter under gravity-induced stress gradient: A two-dimensional numerical investigation
Tài liệu tham khảo
Stavrou, 2020, Investigation of powder flowability at low stresses: Influence of particle size and size distribution, Powder Technol, 364, 98, 10.1016/j.powtec.2020.01.068
Prashant, 2019, Stress-state dependency of small-strain shear modulus in silty sand and sandy silt of Ganga, Géotechnique, 69, 42, 10.1680/jgeot.17.P.100
Suhr, 2016, On the effect of stress dependent interparticle friction in direct shear tests, Powder Technol, 294, 211, 10.1016/j.powtec.2016.02.029
Kabwe, 2020, Confining stress effect on the elastoplastic ground reaction considering the Lode angle dependence, Int J Min Sci Technol, 30, 431, 10.1016/j.ijmst.2020.04.002
Berenbaum, 1959, Measurement of the tensile strength of brittle materials, Br J Appl Phys, 10, 281, 10.1088/0508-3443/10/6/307
Durelli, 1962, 931
Jaeger, 1966, Stresses and failure in rings of rock loaded in diametral tension or compression, Br J Appl Phys, 17, 685, 10.1088/0508-3443/17/5/316
Jaeger, 1979
Yi, 2013, Stress gradient within powder en masse during hydrostatic compression, Powder Technol, 239, 47, 10.1016/j.powtec.2013.01.050
Mindlin, 1965, Second gradient of strain and surface-tension in linear elasticity, Int J Solids Struct, 1, 417, 10.1016/0020-7683(65)90006-5
Eringen, 1966, Mechanics of micromorphic materials, 131
Chang, 2002, Higher-order strain/higher-order stress gradient models derived from a discrete microstructure, with application to fracture, Eng Fract Mech, 69, 1907, 10.1016/S0013-7944(02)00068-1
Chakravarthy, 2014, Stress gradient plasticity: concept and applications, Procedia IUTAM, 10, 453, 10.1016/j.piutam.2014.01.040
Forest, 2012, Stress gradient continuum theory, Mech Res Commun, 40, 16, 10.1016/j.mechrescom.2011.12.002
Polizzotto, 2014, Stress gradient versus strain gradient constitutive models within elasticity, Int J Solids Struct, 51, 1809, 10.1016/j.ijsolstr.2014.01.021
Sture, 1998, Mechanics of granular materials at low effective stresses, J Aerosp Eng, 11, 67, 10.1061/(ASCE)0893-1321(1998)11:3(67)
Alshibli, 2003, Strain localization in sand: plane strain versus triaxial compression, J Geotech Geoenviron Eng, 129, 483, 10.1061/(ASCE)1090-0241(2003)129:6(483)
Fumagalli, 1968, Model simulation of rock mechanics problem, 353
Tao, 2020, Physical model test study on shear strength characteristics of slope sliding surface in Nanfen open-pit mine, Int J Min Sci Technol, 30, 421, 10.1016/j.ijmst.2020.05.006
Fioravante, 2011, Load transfer from a raft to a pile with an interposed layer, Géotechnique, 61, 121, 10.1680/geot.7.00187
Ashtiani, 2016, Centrifuge modeling of shallow embedded foundations subjected to reverse fault rupture, Can Geotech J, 53, 505, 10.1139/cgj-2014-0444
Duan, 2017, Modified kinetic theory applied to the shear flows of granular materials, Phys Fluids, 29, 10.1063/1.4979632
Jiang, 2018, A thermodynamic model of grain-grain contact force, Acta Phys Sin, 67
Duan, 2019, A new kinetic theory model of granular flows that incorporates particle stiffness, Phys Fluids, 31, 10.1063/1.5051034
de Frias, 2019, A discrete element material model including particle degradation suitable for rockfill embankments, Comput Geotech, 115
Zhang, 2020, Governing equations for stress distribution in rhombic disk packings, Phys A: Stat Mech Appl, 558, 10.1016/j.physa.2020.124911
Huang, 2020, Continuum homogenisation of stochastic comminution with grainsize fabric, J Mech Phys Solids, 138, 10.1016/j.jmps.2020.103897
Aminpour, 2019, Multi-scale modelling of kaolinite triaxial behaviour, Géotech Lett, 9, 178, 10.1680/jgele.18.00194
DeGiuli, 2018, Edwards field theory for glasses and granular matter, Phys Rev E, 98, 10.1103/PhysRevE.98.033001
Risso, 2018, Effective two-dimensional model for granular matter with phase separation, Phys Rev E, 98, 10.1103/PhysRevE.98.022901
Rahaman, 2020, Kinetic theory for multi-particulate flow: Description of granular flow with rotary movement of particles, Powder Technol, 360, 780, 10.1016/j.powtec.2019.11.031
Forest, 2006, Nonlinear microstrain theories, Int J Solids Struct, 43, 7224, 10.1016/j.ijsolstr.2006.05.012
Alsaleh, 2006, Modelling strain localization in granular materials using micropolar theory: mathematical formulations, Int J Numer Anal Methods Geomech, 30, 1501, 10.1002/nag.533
Gupta, 2018, Higher-order moment theories for dilute granular gases of smooth hard spheres, J Fluid Mech, 836, 451, 10.1017/jfm.2017.806
Darlington, 2011, The effect of specimen size on strength and other properties in laboratory testing of rock and rock-like cementitious brittle materials, Rock Mech Rock Eng, 44, 513, 10.1007/s00603-011-0161-6
Hu, 2011, Effect of sample size on the behavior of granular materials, Geotech Test J, 34, 1
Omar, 2015, Specimen size effects on behavior of loose sand in triaxial compression tests, Can Geotech J, 52, 732, 10.1139/cgj-2014-0234
Kuhn, 1999, Structured deformation in granular materials, Mech Mater, 31, 407, 10.1016/S0167-6636(99)00010-1
Bagi, 1996, Stress and strain in granular assemblies, Mech Mater, 22, 165, 10.1016/0167-6636(95)00044-5
Kuhn, 1997, Deformation measures for granular materials, 91
Hill, 1963, Elastic properties of reinforced solids: Some theoretical principles, J Mech Phys Solids, 11, 357, 10.1016/0022-5096(63)90036-X
Mandel, 1964, Contribution théorique à l'étude de l'écrouissage et des lois de l’écoulement plastique, 502
Lin, 2020, Numerical simulation on borehole breakout and borehole size effect using discrete element method, Int J Min Sci Technol, 30, 623, 10.1016/j.ijmst.2020.05.019
Cundall, 1979, A discrete numerical model for granular assemblies, Géotechnique, 29, 47, 10.1680/geot.1979.29.1.47
Cundall, 1988, Computer simulations of dense sphere assemblies, 113
Zhou, 2011, Selection of damping parameters used in a particle flow code (PFC2D), J China Univ Min Technol, 40, 667
Chen, 2014, 31
Zhao, 2011, Numerical analysis of critical state behaviors of granular soils under different loading conditions, Granul Matter, 13, 751, 10.1007/s10035-011-0284-1