On the definition of an average strain tensor for two-dimensional granular material assemblies

The description of deformation of granular assemblies is one of the basic ingredients, in view of developing constitutive relations following a micromechanical line. Ignoring the deformation of particles, the macroscopic strain of a granular specimen results from the relative motions of particles, i...

Full description

Saved in:
Bibliographic Details
Published in:International journal of solids and structures 2012-04, Vol.49 (7-8), p.947-958
Main Authors: Bonelli, S., Millet, O., Nicot, F., Rahmoun, J., De Saxcé, G.
Format: Article
Language:English
Subjects:
Assemblies
Deformation
Engineering Sciences
Grain rotation
Grains
Granular materials
Granular medium
Mathematical analysis
Mean strain tensor
Rotational
Strain
Two dimensional
Citations: Items that this one cites
Items that cite this one
Online Access:Get full text
Tags: Add Tag
No Tags, Be the first to tag this record!
cited_by cdi_FETCH-LOGICAL-c427t-864fcfbf27247826cf0188288b8d600e6794b73a07b5f2c95ea941bf9cdbeb8b3
cites cdi_FETCH-LOGICAL-c427t-864fcfbf27247826cf0188288b8d600e6794b73a07b5f2c95ea941bf9cdbeb8b3
container_end_page 958
container_issue 7-8
container_start_page 947
container_title International journal of solids and structures
container_volume 49
creator Bonelli, S.
Millet, O.
Nicot, F.
Rahmoun, J.
De Saxcé, G.
description The description of deformation of granular assemblies is one of the basic ingredients, in view of developing constitutive relations following a micromechanical line. Ignoring the deformation of particles, the macroscopic strain of a granular specimen results from the relative motions of particles, including both translational and rotational kinematics. This paper investigates to which extend the rotation of grains should be accounted for in the description of macroscopic strains, depending on the size of (that is, the number of particles in) the granular specimen. Some examples of simple two-dimensional granular assemblies of circular grains are considered and discussed to illustrate the general results derived from a micromechanical approach.
doi_str_mv 10.1016/j.ijsolstr.2011.11.005
format article
fullrecord <record><control><sourceid>proquest_hal_p</sourceid><recordid>TN_cdi_hal_primary_oai_HAL_hal_02944925v1</recordid><sourceformat>XML</sourceformat><sourcesystem>PC</sourcesystem><els_id>S0020768311003787</els_id><sourcerecordid>1671311735</sourcerecordid><originalsourceid>FETCH-LOGICAL-c427t-864fcfbf27247826cf0188288b8d600e6794b73a07b5f2c95ea941bf9cdbeb8b3</originalsourceid><addsrcrecordid>eNqFkEFr3DAQhUVpoNskf6Ho2B68HcmyJN8SQtMEFvbSXiMkeZRosa1E8m7Jv4-WbXMtzDDw-N6DeYR8YbBmwOT33TruShrLktccGFvXAeg-kBXTqm84E_IjWQFwaJTU7SfyuZQdAIi2hxV52M50eUI6YIhzXGKaaQrUztQeMNtHpDXWxsrgXFKmoe7yJzVDnKpQaTvSx2zn_WgzneyCOVbFloKTGyOWC3IW7Fjw8u89J79vf_y6uWs225_3N9ebxguulkZLEXxwgSsulObSB2Bac62dHiQAStULp1oLynWB-75D2wvmQu8Hh0679px8O-U-2dE85zjZ_GqSjebuemOOGvBeiJ53B1bZryf2OaeXPZbFTLF4HEc7Y9oXw6RiLWOq7SoqT6jPqZSM4T2bgTmWb3bmX_nmWL6pU8uvxquTEevTh4jZFB9x9jjEjH4xQ4r_i3gDhruSCA</addsrcrecordid><sourcetype>Open Access Repository</sourcetype><iscdi>true</iscdi><recordtype>article</recordtype><pqid>1671311735</pqid></control><display><type>article</type><title>On the definition of an average strain tensor for two-dimensional granular material assemblies</title><source>ScienceDirect Journals</source><creator>Bonelli, S. ; Millet, O. ; Nicot, F. ; Rahmoun, J. ; De Saxcé, G.</creator><creatorcontrib>Bonelli, S. ; Millet, O. ; Nicot, F. ; Rahmoun, J. ; De Saxcé, G.</creatorcontrib><description>The description of deformation of granular assemblies is one of the basic ingredients, in view of developing constitutive relations following a micromechanical line. Ignoring the deformation of particles, the macroscopic strain of a granular specimen results from the relative motions of particles, including both translational and rotational kinematics. This paper investigates to which extend the rotation of grains should be accounted for in the description of macroscopic strains, depending on the size of (that is, the number of particles in) the granular specimen. Some examples of simple two-dimensional granular assemblies of circular grains are considered and discussed to illustrate the general results derived from a micromechanical approach.</description><identifier>ISSN: 0020-7683</identifier><identifier>EISSN: 1879-2146</identifier><identifier>DOI: 10.1016/j.ijsolstr.2011.11.005</identifier><language>eng</language><publisher>Elsevier Ltd</publisher><subject>Assemblies ; Deformation ; Engineering Sciences ; Grain rotation ; Grains ; Granular materials ; Granular medium ; Mathematical analysis ; Mean strain tensor ; Rotational ; Strain ; Two dimensional</subject><ispartof>International journal of solids and structures, 2012-04, Vol.49 (7-8), p.947-958</ispartof><rights>2011 Elsevier Ltd</rights><rights>Distributed under a Creative Commons Attribution 4.0 International License</rights><lds50>peer_reviewed</lds50><oa>free_for_read</oa><woscitedreferencessubscribed>false</woscitedreferencessubscribed><citedby>FETCH-LOGICAL-c427t-864fcfbf27247826cf0188288b8d600e6794b73a07b5f2c95ea941bf9cdbeb8b3</citedby><cites>FETCH-LOGICAL-c427t-864fcfbf27247826cf0188288b8d600e6794b73a07b5f2c95ea941bf9cdbeb8b3</cites><orcidid>0000-0002-0282-7824 ; 0000-0001-8104-4125</orcidid></display><links><openurl>$$Topenurl_article</openurl><openurlfulltext>$$Topenurlfull_article</openurlfulltext><thumbnail>$$Tsyndetics_thumb_exl</thumbnail><link.rule.ids>230,314,777,781,882,27905,27906</link.rule.ids><backlink>$$Uhttps://hal.inrae.fr/hal-02944925$$DView record in HAL$$Hfree_for_read</backlink></links><search><creatorcontrib>Bonelli, S.</creatorcontrib><creatorcontrib>Millet, O.</creatorcontrib><creatorcontrib>Nicot, F.</creatorcontrib><creatorcontrib>Rahmoun, J.</creatorcontrib><creatorcontrib>De Saxcé, G.</creatorcontrib><title>On the definition of an average strain tensor for two-dimensional granular material assemblies</title><title>International journal of solids and structures</title><description>The description of deformation of granular assemblies is one of the basic ingredients, in view of developing constitutive relations following a micromechanical line. Ignoring the deformation of particles, the macroscopic strain of a granular specimen results from the relative motions of particles, including both translational and rotational kinematics. This paper investigates to which extend the rotation of grains should be accounted for in the description of macroscopic strains, depending on the size of (that is, the number of particles in) the granular specimen. Some examples of simple two-dimensional granular assemblies of circular grains are considered and discussed to illustrate the general results derived from a micromechanical approach.</description><subject>Assemblies</subject><subject>Deformation</subject><subject>Engineering Sciences</subject><subject>Grain rotation</subject><subject>Grains</subject><subject>Granular materials</subject><subject>Granular medium</subject><subject>Mathematical analysis</subject><subject>Mean strain tensor</subject><subject>Rotational</subject><subject>Strain</subject><subject>Two dimensional</subject><issn>0020-7683</issn><issn>1879-2146</issn><fulltext>true</fulltext><rsrctype>article</rsrctype><creationdate>2012</creationdate><recordtype>article</recordtype><recordid>eNqFkEFr3DAQhUVpoNskf6Ho2B68HcmyJN8SQtMEFvbSXiMkeZRosa1E8m7Jv4-WbXMtzDDw-N6DeYR8YbBmwOT33TruShrLktccGFvXAeg-kBXTqm84E_IjWQFwaJTU7SfyuZQdAIi2hxV52M50eUI6YIhzXGKaaQrUztQeMNtHpDXWxsrgXFKmoe7yJzVDnKpQaTvSx2zn_WgzneyCOVbFloKTGyOWC3IW7Fjw8u89J79vf_y6uWs225_3N9ebxguulkZLEXxwgSsulObSB2Bac62dHiQAStULp1oLynWB-75D2wvmQu8Hh0679px8O-U-2dE85zjZ_GqSjebuemOOGvBeiJ53B1bZryf2OaeXPZbFTLF4HEc7Y9oXw6RiLWOq7SoqT6jPqZSM4T2bgTmWb3bmX_nmWL6pU8uvxquTEevTh4jZFB9x9jjEjH4xQ4r_i3gDhruSCA</recordid><startdate>201204</startdate><enddate>201204</enddate><creator>Bonelli, S.</creator><creator>Millet, O.</creator><creator>Nicot, F.</creator><creator>Rahmoun, J.</creator><creator>De Saxcé, G.</creator><general>Elsevier Ltd</general><general>Elsevier</general><scope>6I.</scope><scope>AAFTH</scope><scope>AAYXX</scope><scope>CITATION</scope><scope>7SR</scope><scope>7TB</scope><scope>8BQ</scope><scope>8FD</scope><scope>FR3</scope><scope>JG9</scope><scope>KR7</scope><scope>1XC</scope><orcidid>https://orcid.org/0000-0002-0282-7824</orcidid><orcidid>https://orcid.org/0000-0001-8104-4125</orcidid></search><sort><creationdate>201204</creationdate><title>On the definition of an average strain tensor for two-dimensional granular material assemblies</title><author>Bonelli, S. ; Millet, O. ; Nicot, F. ; Rahmoun, J. ; De Saxcé, G.</author></sort><facets><frbrtype>5</frbrtype><frbrgroupid>cdi_FETCH-LOGICAL-c427t-864fcfbf27247826cf0188288b8d600e6794b73a07b5f2c95ea941bf9cdbeb8b3</frbrgroupid><rsrctype>articles</rsrctype><prefilter>articles</prefilter><language>eng</language><creationdate>2012</creationdate><topic>Assemblies</topic><topic>Deformation</topic><topic>Engineering Sciences</topic><topic>Grain rotation</topic><topic>Grains</topic><topic>Granular materials</topic><topic>Granular medium</topic><topic>Mathematical analysis</topic><topic>Mean strain tensor</topic><topic>Rotational</topic><topic>Strain</topic><topic>Two dimensional</topic><toplevel>peer_reviewed</toplevel><toplevel>online_resources</toplevel><creatorcontrib>Bonelli, S.</creatorcontrib><creatorcontrib>Millet, O.</creatorcontrib><creatorcontrib>Nicot, F.</creatorcontrib><creatorcontrib>Rahmoun, J.</creatorcontrib><creatorcontrib>De Saxcé, G.</creatorcontrib><collection>ScienceDirect Open Access Titles</collection><collection>Elsevier:ScienceDirect:Open Access</collection><collection>CrossRef</collection><collection>Engineered Materials Abstracts</collection><collection>Mechanical &amp; Transportation Engineering Abstracts</collection><collection>METADEX</collection><collection>Technology Research Database</collection><collection>Engineering Research Database</collection><collection>Materials Research Database</collection><collection>Civil Engineering Abstracts</collection><collection>Hyper Article en Ligne (HAL)</collection><jtitle>International journal of solids and structures</jtitle></facets><delivery><delcategory>Remote Search Resource</delcategory><fulltext>fulltext</fulltext></delivery><addata><au>Bonelli, S.</au><au>Millet, O.</au><au>Nicot, F.</au><au>Rahmoun, J.</au><au>De Saxcé, G.</au><format>journal</format><genre>article</genre><ristype>JOUR</ristype><atitle>On the definition of an average strain tensor for two-dimensional granular material assemblies</atitle><jtitle>International journal of solids and structures</jtitle><date>2012-04</date><risdate>2012</risdate><volume>49</volume><issue>7-8</issue><spage>947</spage><epage>958</epage><pages>947-958</pages><issn>0020-7683</issn><eissn>1879-2146</eissn><abstract>The description of deformation of granular assemblies is one of the basic ingredients, in view of developing constitutive relations following a micromechanical line. Ignoring the deformation of particles, the macroscopic strain of a granular specimen results from the relative motions of particles, including both translational and rotational kinematics. This paper investigates to which extend the rotation of grains should be accounted for in the description of macroscopic strains, depending on the size of (that is, the number of particles in) the granular specimen. Some examples of simple two-dimensional granular assemblies of circular grains are considered and discussed to illustrate the general results derived from a micromechanical approach.</abstract><pub>Elsevier Ltd</pub><doi>10.1016/j.ijsolstr.2011.11.005</doi><tpages>12</tpages><orcidid>https://orcid.org/0000-0002-0282-7824</orcidid><orcidid>https://orcid.org/0000-0001-8104-4125</orcidid><oa>free_for_read</oa></addata></record>
fulltext fulltext
identifier ISSN: 0020-7683
ispartof International journal of solids and structures, 2012-04, Vol.49 (7-8), p.947-958
issn 0020-7683
1879-2146
language eng
recordid cdi_hal_primary_oai_HAL_hal_02944925v1
source ScienceDirect Journals
subjects Assemblies
Deformation
Engineering Sciences
Grain rotation
Grains
Granular materials
Granular medium
Mathematical analysis
Mean strain tensor
Rotational
Strain
Two dimensional
title On the definition of an average strain tensor for two-dimensional granular material assemblies
url http://sfxeu10.hosted.exlibrisgroup.com/loughborough?ctx_ver=Z39.88-2004&ctx_enc=info:ofi/enc:UTF-8&ctx_tim=2025-01-19T20%3A00%3A44IST&url_ver=Z39.88-2004&url_ctx_fmt=infofi/fmt:kev:mtx:ctx&rfr_id=info:sid/primo.exlibrisgroup.com:primo3-Article-proquest_hal_p&rft_val_fmt=info:ofi/fmt:kev:mtx:journal&rft.genre=article&rft.atitle=On%20the%20definition%20of%20an%20average%20strain%20tensor%20for%20two-dimensional%20granular%20material%20assemblies&rft.jtitle=International%20journal%20of%20solids%20and%20structures&rft.au=Bonelli,%20S.&rft.date=2012-04&rft.volume=49&rft.issue=7-8&rft.spage=947&rft.epage=958&rft.pages=947-958&rft.issn=0020-7683&rft.eissn=1879-2146&rft_id=info:doi/10.1016/j.ijsolstr.2011.11.005&rft_dat=%3Cproquest_hal_p%3E1671311735%3C/proquest_hal_p%3E%3Cgrp_id%3Ecdi_FETCH-LOGICAL-c427t-864fcfbf27247826cf0188288b8d600e6794b73a07b5f2c95ea941bf9cdbeb8b3%3C/grp_id%3E%3Coa%3E%3C/oa%3E%3Curl%3E%3C/url%3E&rft_id=info:oai/&rft_pqid=1671311735&rft_id=info:pmid/&rfr_iscdi=true