Strain gradient elastic homogenization of bidimensional cellular media
The present paper aims at introducing an homogenization scheme for the determination of strain gradient elastic coefficients. This scheme is based on a quadratic extension of homogeneous boundary condition (HBC). It allows computing strain elastic effective tensors. This easy-to-handle computational...
Gespeichert in:
| Veröffentlicht in: | International journal of solids and structures 2010-06, Vol.47 (13), p.1698-1710 |
|---|---|
| Hauptverfasser: | , , |
| Format: | Artikel |
| Sprache: | eng |
| Schlagworte: | |
| Online-Zugang: | Volltext |
| Tags: |
Tag hinzufügen
Keine Tags, Fügen Sie den ersten Tag hinzu!
|
| container_end_page | 1710 |
|---|---|
| container_issue | 13 |
| container_start_page | 1698 |
| container_title | International journal of solids and structures |
| container_volume | 47 |
| creator | Auffray, N. Bouchet, R. Bréchet, Y. |
| description | The present paper aims at introducing an homogenization scheme for the determination of strain gradient elastic coefficients. This scheme is based on a quadratic extension of homogeneous boundary condition (HBC). It allows computing strain elastic effective tensors. This easy-to-handle computational procedure will then be used to construct overall behaviors and to verify some theoretical predictions on strain gradient elasticity. |
| doi_str_mv | 10.1016/j.ijsolstr.2010.03.011 |
| format | Article |
| fullrecord | <record><control><sourceid>proquest_hal_p</sourceid><recordid>TN_cdi_hal_primary_oai_HAL_hal_00486674v1</recordid><sourceformat>XML</sourceformat><sourcesystem>PC</sourcesystem><els_id>S0020768310000922</els_id><sourcerecordid>753752476</sourcerecordid><originalsourceid>FETCH-LOGICAL-c456t-c3f37d6195c426a65c9a213370609ab2e7bf277f11c8a9e84f96504dcaa656773</originalsourceid><addsrcrecordid>eNqFkEtLAzEQgIMoWB9_QfYi4mHr5LHJ7k0Rq0LBg3oO02y2TcluNNkK-utNqXr1NMzwzesj5IzClAKVV-upW6fg0xinDHIR-BQo3SMTWqumZFTIfTIBYFAqWfNDcpTSGgAEb2BCZs9jRDcUy4its8NYWI9pdKZYhT4s7eC-cHRhKEJXLFzrejuknKIvjPV-4zEWvW0dnpCDDn2ypz_xmLzO7l5uH8r50_3j7c28NKKSY2l4x1UraVMZwSTKyjTIKOcKJDS4YFYtOqZUR6mpsbG16BpZgWgNZlYqxY_J5W7uCr1-i67H-KkDOv1wM9fbWv6rllKJD5rZix37FsP7xqZR9y5tz8bBhk3SquKqYkLJTModaWJIKdrubzQFvXWs1_rXsd461sB1dpwbz39WYDLou4iDcemvmzElsmaWuesdZ7ObD2ejTibbNlldtGbUbXD_rfoGxf-VHA</addsrcrecordid><sourcetype>Open Access Repository</sourcetype><iscdi>true</iscdi><recordtype>article</recordtype><pqid>753752476</pqid></control><display><type>article</type><title>Strain gradient elastic homogenization of bidimensional cellular media</title><source>Elsevier ScienceDirect Journals</source><source>EZB-FREE-00999 freely available EZB journals</source><creator>Auffray, N. ; Bouchet, R. ; Bréchet, Y.</creator><creatorcontrib>Auffray, N. ; Bouchet, R. ; Bréchet, Y.</creatorcontrib><description>The present paper aims at introducing an homogenization scheme for the determination of strain gradient elastic coefficients. This scheme is based on a quadratic extension of homogeneous boundary condition (HBC). It allows computing strain elastic effective tensors. This easy-to-handle computational procedure will then be used to construct overall behaviors and to verify some theoretical predictions on strain gradient elasticity.</description><identifier>ISSN: 0020-7683</identifier><identifier>EISSN: 1879-2146</identifier><identifier>DOI: 10.1016/j.ijsolstr.2010.03.011</identifier><identifier>CODEN: IJSOAD</identifier><language>eng</language><publisher>Kidlington: Elsevier Ltd</publisher><subject>Anisotropy ; Boundary conditions ; Cellular ; Computation ; Engineering Sciences ; Exact sciences and technology ; Fundamental areas of phenomenology (including applications) ; Homogenization ; Homogenizing ; Mathematical analysis ; Mechanics ; Physics ; Solid mechanics ; Static elasticity (thermoelasticity...) ; Strain ; Strain gradient elasticity ; Structural and continuum mechanics ; Symmetry classes ; Tensors</subject><ispartof>International journal of solids and structures, 2010-06, Vol.47 (13), p.1698-1710</ispartof><rights>2010 Elsevier Ltd</rights><rights>2015 INIST-CNRS</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-c456t-c3f37d6195c426a65c9a213370609ab2e7bf277f11c8a9e84f96504dcaa656773</citedby><cites>FETCH-LOGICAL-c456t-c3f37d6195c426a65c9a213370609ab2e7bf277f11c8a9e84f96504dcaa656773</cites><orcidid>0000-0002-8839-0634</orcidid></display><links><openurl>$$Topenurl_article</openurl><openurlfulltext>$$Topenurlfull_article</openurlfulltext><thumbnail>$$Tsyndetics_thumb_exl</thumbnail><linktohtml>$$Uhttps://www.sciencedirect.com/science/article/pii/S0020768310000922$$EHTML$$P50$$Gelsevier$$Hfree_for_read</linktohtml><link.rule.ids>230,314,776,780,881,3537,27901,27902,65306</link.rule.ids><backlink>$$Uhttp://pascal-francis.inist.fr/vibad/index.php?action=getRecordDetail&idt=22744392$$DView record in Pascal Francis$$Hfree_for_read</backlink><backlink>$$Uhttps://hal.science/hal-00486674$$DView record in HAL$$Hfree_for_read</backlink></links><search><creatorcontrib>Auffray, N.</creatorcontrib><creatorcontrib>Bouchet, R.</creatorcontrib><creatorcontrib>Bréchet, Y.</creatorcontrib><title>Strain gradient elastic homogenization of bidimensional cellular media</title><title>International journal of solids and structures</title><description>The present paper aims at introducing an homogenization scheme for the determination of strain gradient elastic coefficients. This scheme is based on a quadratic extension of homogeneous boundary condition (HBC). It allows computing strain elastic effective tensors. This easy-to-handle computational procedure will then be used to construct overall behaviors and to verify some theoretical predictions on strain gradient elasticity.</description><subject>Anisotropy</subject><subject>Boundary conditions</subject><subject>Cellular</subject><subject>Computation</subject><subject>Engineering Sciences</subject><subject>Exact sciences and technology</subject><subject>Fundamental areas of phenomenology (including applications)</subject><subject>Homogenization</subject><subject>Homogenizing</subject><subject>Mathematical analysis</subject><subject>Mechanics</subject><subject>Physics</subject><subject>Solid mechanics</subject><subject>Static elasticity (thermoelasticity...)</subject><subject>Strain</subject><subject>Strain gradient elasticity</subject><subject>Structural and continuum mechanics</subject><subject>Symmetry classes</subject><subject>Tensors</subject><issn>0020-7683</issn><issn>1879-2146</issn><fulltext>true</fulltext><rsrctype>article</rsrctype><creationdate>2010</creationdate><recordtype>article</recordtype><recordid>eNqFkEtLAzEQgIMoWB9_QfYi4mHr5LHJ7k0Rq0LBg3oO02y2TcluNNkK-utNqXr1NMzwzesj5IzClAKVV-upW6fg0xinDHIR-BQo3SMTWqumZFTIfTIBYFAqWfNDcpTSGgAEb2BCZs9jRDcUy4its8NYWI9pdKZYhT4s7eC-cHRhKEJXLFzrejuknKIvjPV-4zEWvW0dnpCDDn2ypz_xmLzO7l5uH8r50_3j7c28NKKSY2l4x1UraVMZwSTKyjTIKOcKJDS4YFYtOqZUR6mpsbG16BpZgWgNZlYqxY_J5W7uCr1-i67H-KkDOv1wM9fbWv6rllKJD5rZix37FsP7xqZR9y5tz8bBhk3SquKqYkLJTModaWJIKdrubzQFvXWs1_rXsd461sB1dpwbz39WYDLou4iDcemvmzElsmaWuesdZ7ObD2ejTibbNlldtGbUbXD_rfoGxf-VHA</recordid><startdate>20100615</startdate><enddate>20100615</enddate><creator>Auffray, N.</creator><creator>Bouchet, R.</creator><creator>Bréchet, Y.</creator><general>Elsevier Ltd</general><general>Elsevier</general><scope>6I.</scope><scope>AAFTH</scope><scope>IQODW</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><scope>VOOES</scope><orcidid>https://orcid.org/0000-0002-8839-0634</orcidid></search><sort><creationdate>20100615</creationdate><title>Strain gradient elastic homogenization of bidimensional cellular media</title><author>Auffray, N. ; Bouchet, R. ; Bréchet, Y.</author></sort><facets><frbrtype>5</frbrtype><frbrgroupid>cdi_FETCH-LOGICAL-c456t-c3f37d6195c426a65c9a213370609ab2e7bf277f11c8a9e84f96504dcaa656773</frbrgroupid><rsrctype>articles</rsrctype><prefilter>articles</prefilter><language>eng</language><creationdate>2010</creationdate><topic>Anisotropy</topic><topic>Boundary conditions</topic><topic>Cellular</topic><topic>Computation</topic><topic>Engineering Sciences</topic><topic>Exact sciences and technology</topic><topic>Fundamental areas of phenomenology (including applications)</topic><topic>Homogenization</topic><topic>Homogenizing</topic><topic>Mathematical analysis</topic><topic>Mechanics</topic><topic>Physics</topic><topic>Solid mechanics</topic><topic>Static elasticity (thermoelasticity...)</topic><topic>Strain</topic><topic>Strain gradient elasticity</topic><topic>Structural and continuum mechanics</topic><topic>Symmetry classes</topic><topic>Tensors</topic><toplevel>peer_reviewed</toplevel><toplevel>online_resources</toplevel><creatorcontrib>Auffray, N.</creatorcontrib><creatorcontrib>Bouchet, R.</creatorcontrib><creatorcontrib>Bréchet, Y.</creatorcontrib><collection>ScienceDirect Open Access Titles</collection><collection>Elsevier:ScienceDirect:Open Access</collection><collection>Pascal-Francis</collection><collection>CrossRef</collection><collection>Engineered Materials Abstracts</collection><collection>Mechanical & 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><collection>Hyper Article en Ligne (HAL) (Open Access)</collection><jtitle>International journal of solids and structures</jtitle></facets><delivery><delcategory>Remote Search Resource</delcategory><fulltext>fulltext</fulltext></delivery><addata><au>Auffray, N.</au><au>Bouchet, R.</au><au>Bréchet, Y.</au><format>journal</format><genre>article</genre><ristype>JOUR</ristype><atitle>Strain gradient elastic homogenization of bidimensional cellular media</atitle><jtitle>International journal of solids and structures</jtitle><date>2010-06-15</date><risdate>2010</risdate><volume>47</volume><issue>13</issue><spage>1698</spage><epage>1710</epage><pages>1698-1710</pages><issn>0020-7683</issn><eissn>1879-2146</eissn><coden>IJSOAD</coden><abstract>The present paper aims at introducing an homogenization scheme for the determination of strain gradient elastic coefficients. This scheme is based on a quadratic extension of homogeneous boundary condition (HBC). It allows computing strain elastic effective tensors. This easy-to-handle computational procedure will then be used to construct overall behaviors and to verify some theoretical predictions on strain gradient elasticity.</abstract><cop>Kidlington</cop><pub>Elsevier Ltd</pub><doi>10.1016/j.ijsolstr.2010.03.011</doi><tpages>13</tpages><orcidid>https://orcid.org/0000-0002-8839-0634</orcidid><oa>free_for_read</oa></addata></record> |
| fulltext | fulltext |
| identifier | ISSN: 0020-7683 |
| ispartof | International journal of solids and structures, 2010-06, Vol.47 (13), p.1698-1710 |
| issn | 0020-7683 1879-2146 |
| language | eng |
| recordid | cdi_hal_primary_oai_HAL_hal_00486674v1 |
| source | Elsevier ScienceDirect Journals; EZB-FREE-00999 freely available EZB journals |
| subjects | Anisotropy Boundary conditions Cellular Computation Engineering Sciences Exact sciences and technology Fundamental areas of phenomenology (including applications) Homogenization Homogenizing Mathematical analysis Mechanics Physics Solid mechanics Static elasticity (thermoelasticity...) Strain Strain gradient elasticity Structural and continuum mechanics Symmetry classes Tensors |
| title | Strain gradient elastic homogenization of bidimensional cellular media |
| url | https://sfx.bib-bvb.de/sfx_tum?ctx_ver=Z39.88-2004&ctx_enc=info:ofi/enc:UTF-8&ctx_tim=2025-01-29T02%3A52%3A02IST&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=Strain%20gradient%20elastic%20homogenization%20of%20bidimensional%20cellular%20media&rft.jtitle=International%20journal%20of%20solids%20and%20structures&rft.au=Auffray,%20N.&rft.date=2010-06-15&rft.volume=47&rft.issue=13&rft.spage=1698&rft.epage=1710&rft.pages=1698-1710&rft.issn=0020-7683&rft.eissn=1879-2146&rft.coden=IJSOAD&rft_id=info:doi/10.1016/j.ijsolstr.2010.03.011&rft_dat=%3Cproquest_hal_p%3E753752476%3C/proquest_hal_p%3E%3Curl%3E%3C/url%3E&disable_directlink=true&sfx.directlink=off&sfx.report_link=0&rft_id=info:oai/&rft_pqid=753752476&rft_id=info:pmid/&rft_els_id=S0020768310000922&rfr_iscdi=true |