A micromechanical prediction of localization in a granular material
We predict localization in a strained, random aggregate of identical elasto-frictional particles. As triaxial compression proceeds, pairs of particles deform subject to local equilibrium and anisotropy develops because of contact deletion and the dependence of contact stiffness on the average strain...
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| Published in | Journal of the mechanics and physics of solids Vol. 83; pp. 146 - 159 |
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| Main Authors | , , |
| Format | Journal Article |
| Language | English |
| Published |
Elsevier Ltd
01.10.2015
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| Online Access | Get full text |
| ISSN | 0022-5096 |
| DOI | 10.1016/j.jmps.2015.06.011 |
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| Abstract | We predict localization in a strained, random aggregate of identical elasto-frictional particles. As triaxial compression proceeds, pairs of particles deform subject to local equilibrium and anisotropy develops because of contact deletion and the dependence of contact stiffness on the average strain. The combination of the deviations of the particle displacements from the average strain and the induced anisotropy results in a relation between increments in average strain and average stress that does not possess the major symmetry. This leads to the possibility of a discontinuity in a component of the incremental strain at a predicted value of the shear strain and a predicted orientation relative to the axis of greatest compression. |
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| AbstractList | We predict localization in a strained, random aggregate of identical elasto-frictional particles. As triaxial compression proceeds, pairs of particles deform subject to local equilibrium and anisotropy develops because of contact deletion and the dependence of contact stiffness on the average strain. The combination of the deviations of the particle displacements from the average strain and the induced anisotropy results in a relation between increments in average strain and average stress that does not possess the major symmetry. This leads to the possibility of a discontinuity in a component of the incremental strain at a predicted value of the shear strain and a predicted orientation relative to the axis of greatest compression. |
| Author | Prantil, V.C. La Ragione, L. Jenkins, J.T. |
| Author_xml | – sequence: 1 givenname: L. surname: La Ragione fullname: La Ragione, L. email: luigi.laragione@poliba.it organization: Dipartimento di Scienze dell'Ingegneria Civile e dell'Architettura, Politecnico di Bari, 70125 Bari, Italy – sequence: 2 givenname: V.C. surname: Prantil fullname: Prantil, V.C. organization: Department of Mechanical Engineering, Milwaukee School of Engineering, 53202 Milwaukee, WI, USA – sequence: 3 givenname: J.T. surname: Jenkins fullname: Jenkins, J.T. organization: School of Civil and Environmental Engineering, Cornell University, 14853 Ithaca, NY, USA |
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| CitedBy_id | crossref_primary_10_1016_j_jmps_2016_05_031 crossref_primary_10_1051_epjconf_202124910005 crossref_primary_10_1007_s11440_018_0671_4 crossref_primary_10_1051_epjconf_201714010001 crossref_primary_10_1007_s10035_022_01258_y crossref_primary_10_1051_epjconf_201714010008 crossref_primary_10_1007_s10035_020_01052_8 crossref_primary_10_1007_s10035_024_01431_5 crossref_primary_10_1103_PhysRevE_94_062904 |
| Cites_doi | 10.1016/j.jmps.2010.06.003 10.1098/rspa.2015.0013 10.1007/s10665-004-4555-2 10.1080/14786430500197868 10.1103/PhysRevE.76.061302 10.1007/BF01174645 10.1016/0020-7683(93)90165-4 10.1016/0093-6413(76)90014-8 10.1016/j.ijsolstr.2005.07.008 10.1016/j.ijplas.2007.01.010 10.1016/0022-5096(92)90017-V 10.1016/j.jmps.2010.10.009 10.1098/rsta.1998.0296 10.1103/PhysRevLett.80.61 10.3208/sandf1972.30.35 10.1007/978-3-662-39449-6_5 10.1016/0022-5096(75)90001-0 10.1016/S0045-7825(96)01110-3 10.1016/0167-6636(93)90024-L 10.1002/nag.912 10.1016/j.ijplas.2007.06.001 10.1209/0295-5075/81/34006 10.1002/nag.338 10.1098/rspa.2006.1792 10.1016/j.jmps.2004.06.002 10.1016/0045-7825(95)00846-2 10.1016/0020-7683(80)90019-0 10.1098/rspa.2012.0606 10.1016/j.mechmat.2010.07.004 10.1002/nag.1610040202 10.1680/geot.1990.40.2.223 |
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| Snippet | We predict localization in a strained, random aggregate of identical elasto-frictional particles. As triaxial compression proceeds, pairs of particles deform... |
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| SubjectTerms | Anisotropy Compressing Contact Discontinuity Granular materials Localization Position (location) Strain |
| Title | A micromechanical prediction of localization in a granular material |
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