A comparison of dislocation induced back stress formulations in strain gradient crystal plasticity

Strain gradient crystal plasticity attempts to predict material size effects by taking into account geometrically necessary dislocations that are required to accommodate gradients of crystallographic slip. Since these dislocations have a non-zero net Burgers vector within the material, dislocation i...

Ausführliche Beschreibung

Gespeichert in:
Bibliographische Detailangaben
Veröffentlicht in:International journal of solids and structures 2006-11, Vol.43 (24), p.7268-7286
Hauptverfasser: Bayley, C.J., Brekelmans, W.A.M., Geers, M.G.D.
Format: Artikel
Sprache:eng
Schlagworte:
Online-Zugang:Volltext
Tags: Tag hinzufügen
Keine Tags, Fügen Sie den ersten Tag hinzu!
container_end_page 7286
container_issue 24
container_start_page 7268
container_title International journal of solids and structures
container_volume 43
creator Bayley, C.J.
Brekelmans, W.A.M.
Geers, M.G.D.
description Strain gradient crystal plasticity attempts to predict material size effects by taking into account geometrically necessary dislocations that are required to accommodate gradients of crystallographic slip. Since these dislocations have a non-zero net Burgers vector within the material, dislocation induced long range stresses result in a back stress that influences the effective driving force for crystallographic slip. A dislocation induced back stress formulation is proposed in which the full tensorial nature of the dislocation stress state is included in the continuum description. The significance of this proposed back stress formulation is that it intrinsically includes latent kinematic hardening from dislocations lying on all slip systems. Using simple shearing of a semi-infinite cube oriented single crystal with either double-planar or octahedral slip system configurations, the proposed back stress formulation is examined in detail.
doi_str_mv 10.1016/j.ijsolstr.2006.05.011
format Article
fullrecord <record><control><sourceid>proquest_cross</sourceid><recordid>TN_cdi_proquest_miscellaneous_29222344</recordid><sourceformat>XML</sourceformat><sourcesystem>PC</sourcesystem><els_id>S0020768306001697</els_id><sourcerecordid>29222344</sourcerecordid><originalsourceid>FETCH-LOGICAL-c409t-b514a2c4708751b797ed3f58d4f25092fae9a8d82e04b5678f5bb8cbf510f8713</originalsourceid><addsrcrecordid>eNqFkM1OwzAQhC0EEqXwCignbglrx06cG1XFn1SJC5wtx7GRS1oHr4vUt8elcOa02t2ZkeYj5JpCRYE2t-vKrzGMmGLFAJoKRAWUnpAZlW1XMsqbUzIDYFC2jazPyQXiGgB43cGM9IvChM2ko8ewLYIrBo9jMDr5vPrtsDN2KHptPoqcbxELF-JmN_78MQsOZ53He9SDt9tUmLjHpMdiGjUmb3zaX5Izp0e0V79zTt4e7l-XT-Xq5fF5uViVhkOXyl5QrpnhLchW0L7tWjvUTsiBOyagY07bTstBMgu8F00rneh7aXonKDjZ0npObo65UwyfO4tJbTwaO456a8MOFesYYzXnWdgchSYGxGidmqLf6LhXFNQBqVqrP6TqgFSBUBlpNt4djTbX-PI2KjS5dEbkozVJDcH_F_EN96mFvg</addsrcrecordid><sourcetype>Aggregation Database</sourcetype><iscdi>true</iscdi><recordtype>article</recordtype><pqid>29222344</pqid></control><display><type>article</type><title>A comparison of dislocation induced back stress formulations in strain gradient crystal plasticity</title><source>Elsevier ScienceDirect Journals Complete</source><source>EZB-FREE-00999 freely available EZB journals</source><creator>Bayley, C.J. ; Brekelmans, W.A.M. ; Geers, M.G.D.</creator><creatorcontrib>Bayley, C.J. ; Brekelmans, W.A.M. ; Geers, M.G.D.</creatorcontrib><description>Strain gradient crystal plasticity attempts to predict material size effects by taking into account geometrically necessary dislocations that are required to accommodate gradients of crystallographic slip. Since these dislocations have a non-zero net Burgers vector within the material, dislocation induced long range stresses result in a back stress that influences the effective driving force for crystallographic slip. A dislocation induced back stress formulation is proposed in which the full tensorial nature of the dislocation stress state is included in the continuum description. The significance of this proposed back stress formulation is that it intrinsically includes latent kinematic hardening from dislocations lying on all slip systems. Using simple shearing of a semi-infinite cube oriented single crystal with either double-planar or octahedral slip system configurations, the proposed back stress formulation is examined in detail.</description><identifier>ISSN: 0020-7683</identifier><identifier>EISSN: 1879-2146</identifier><identifier>DOI: 10.1016/j.ijsolstr.2006.05.011</identifier><language>eng</language><publisher>Elsevier Ltd</publisher><subject>Back stress ; Crystal plasticity ; Geometrically necessary dislocations ; Kinematic hardening ; Strain gradient</subject><ispartof>International journal of solids and structures, 2006-11, Vol.43 (24), p.7268-7286</ispartof><rights>2006 Elsevier Ltd</rights><lds50>peer_reviewed</lds50><oa>free_for_read</oa><woscitedreferencessubscribed>false</woscitedreferencessubscribed><citedby>FETCH-LOGICAL-c409t-b514a2c4708751b797ed3f58d4f25092fae9a8d82e04b5678f5bb8cbf510f8713</citedby><cites>FETCH-LOGICAL-c409t-b514a2c4708751b797ed3f58d4f25092fae9a8d82e04b5678f5bb8cbf510f8713</cites></display><links><openurl>$$Topenurl_article</openurl><openurlfulltext>$$Topenurlfull_article</openurlfulltext><thumbnail>$$Tsyndetics_thumb_exl</thumbnail><linktohtml>$$Uhttps://dx.doi.org/10.1016/j.ijsolstr.2006.05.011$$EHTML$$P50$$Gelsevier$$Hfree_for_read</linktohtml><link.rule.ids>315,782,786,3552,27931,27932,46002</link.rule.ids></links><search><creatorcontrib>Bayley, C.J.</creatorcontrib><creatorcontrib>Brekelmans, W.A.M.</creatorcontrib><creatorcontrib>Geers, M.G.D.</creatorcontrib><title>A comparison of dislocation induced back stress formulations in strain gradient crystal plasticity</title><title>International journal of solids and structures</title><description>Strain gradient crystal plasticity attempts to predict material size effects by taking into account geometrically necessary dislocations that are required to accommodate gradients of crystallographic slip. Since these dislocations have a non-zero net Burgers vector within the material, dislocation induced long range stresses result in a back stress that influences the effective driving force for crystallographic slip. A dislocation induced back stress formulation is proposed in which the full tensorial nature of the dislocation stress state is included in the continuum description. The significance of this proposed back stress formulation is that it intrinsically includes latent kinematic hardening from dislocations lying on all slip systems. Using simple shearing of a semi-infinite cube oriented single crystal with either double-planar or octahedral slip system configurations, the proposed back stress formulation is examined in detail.</description><subject>Back stress</subject><subject>Crystal plasticity</subject><subject>Geometrically necessary dislocations</subject><subject>Kinematic hardening</subject><subject>Strain gradient</subject><issn>0020-7683</issn><issn>1879-2146</issn><fulltext>true</fulltext><rsrctype>article</rsrctype><creationdate>2006</creationdate><recordtype>article</recordtype><recordid>eNqFkM1OwzAQhC0EEqXwCignbglrx06cG1XFn1SJC5wtx7GRS1oHr4vUt8elcOa02t2ZkeYj5JpCRYE2t-vKrzGMmGLFAJoKRAWUnpAZlW1XMsqbUzIDYFC2jazPyQXiGgB43cGM9IvChM2ko8ewLYIrBo9jMDr5vPrtsDN2KHptPoqcbxELF-JmN_78MQsOZ53He9SDt9tUmLjHpMdiGjUmb3zaX5Izp0e0V79zTt4e7l-XT-Xq5fF5uViVhkOXyl5QrpnhLchW0L7tWjvUTsiBOyagY07bTstBMgu8F00rneh7aXonKDjZ0npObo65UwyfO4tJbTwaO456a8MOFesYYzXnWdgchSYGxGidmqLf6LhXFNQBqVqrP6TqgFSBUBlpNt4djTbX-PI2KjS5dEbkozVJDcH_F_EN96mFvg</recordid><startdate>20061101</startdate><enddate>20061101</enddate><creator>Bayley, C.J.</creator><creator>Brekelmans, W.A.M.</creator><creator>Geers, M.G.D.</creator><general>Elsevier Ltd</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></search><sort><creationdate>20061101</creationdate><title>A comparison of dislocation induced back stress formulations in strain gradient crystal plasticity</title><author>Bayley, C.J. ; Brekelmans, W.A.M. ; Geers, M.G.D.</author></sort><facets><frbrtype>5</frbrtype><frbrgroupid>cdi_FETCH-LOGICAL-c409t-b514a2c4708751b797ed3f58d4f25092fae9a8d82e04b5678f5bb8cbf510f8713</frbrgroupid><rsrctype>articles</rsrctype><prefilter>articles</prefilter><language>eng</language><creationdate>2006</creationdate><topic>Back stress</topic><topic>Crystal plasticity</topic><topic>Geometrically necessary dislocations</topic><topic>Kinematic hardening</topic><topic>Strain gradient</topic><toplevel>peer_reviewed</toplevel><toplevel>online_resources</toplevel><creatorcontrib>Bayley, C.J.</creatorcontrib><creatorcontrib>Brekelmans, W.A.M.</creatorcontrib><creatorcontrib>Geers, M.G.D.</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><jtitle>International journal of solids and structures</jtitle></facets><delivery><delcategory>Remote Search Resource</delcategory><fulltext>fulltext</fulltext></delivery><addata><au>Bayley, C.J.</au><au>Brekelmans, W.A.M.</au><au>Geers, M.G.D.</au><format>journal</format><genre>article</genre><ristype>JOUR</ristype><atitle>A comparison of dislocation induced back stress formulations in strain gradient crystal plasticity</atitle><jtitle>International journal of solids and structures</jtitle><date>2006-11-01</date><risdate>2006</risdate><volume>43</volume><issue>24</issue><spage>7268</spage><epage>7286</epage><pages>7268-7286</pages><issn>0020-7683</issn><eissn>1879-2146</eissn><abstract>Strain gradient crystal plasticity attempts to predict material size effects by taking into account geometrically necessary dislocations that are required to accommodate gradients of crystallographic slip. Since these dislocations have a non-zero net Burgers vector within the material, dislocation induced long range stresses result in a back stress that influences the effective driving force for crystallographic slip. A dislocation induced back stress formulation is proposed in which the full tensorial nature of the dislocation stress state is included in the continuum description. The significance of this proposed back stress formulation is that it intrinsically includes latent kinematic hardening from dislocations lying on all slip systems. Using simple shearing of a semi-infinite cube oriented single crystal with either double-planar or octahedral slip system configurations, the proposed back stress formulation is examined in detail.</abstract><pub>Elsevier Ltd</pub><doi>10.1016/j.ijsolstr.2006.05.011</doi><tpages>19</tpages><oa>free_for_read</oa></addata></record>
fulltext fulltext
identifier ISSN: 0020-7683
ispartof International journal of solids and structures, 2006-11, Vol.43 (24), p.7268-7286
issn 0020-7683
1879-2146
language eng
recordid cdi_proquest_miscellaneous_29222344
source Elsevier ScienceDirect Journals Complete; EZB-FREE-00999 freely available EZB journals
subjects Back stress
Crystal plasticity
Geometrically necessary dislocations
Kinematic hardening
Strain gradient
title A comparison of dislocation induced back stress formulations in strain gradient crystal plasticity
url https://sfx.bib-bvb.de/sfx_tum?ctx_ver=Z39.88-2004&ctx_enc=info:ofi/enc:UTF-8&ctx_tim=2024-12-05T12%3A35%3A15IST&url_ver=Z39.88-2004&url_ctx_fmt=infofi/fmt:kev:mtx:ctx&rfr_id=info:sid/primo.exlibrisgroup.com:primo3-Article-proquest_cross&rft_val_fmt=info:ofi/fmt:kev:mtx:journal&rft.genre=article&rft.atitle=A%20comparison%20of%20dislocation%20induced%20back%20stress%20formulations%20in%20strain%20gradient%20crystal%20plasticity&rft.jtitle=International%20journal%20of%20solids%20and%20structures&rft.au=Bayley,%20C.J.&rft.date=2006-11-01&rft.volume=43&rft.issue=24&rft.spage=7268&rft.epage=7286&rft.pages=7268-7286&rft.issn=0020-7683&rft.eissn=1879-2146&rft_id=info:doi/10.1016/j.ijsolstr.2006.05.011&rft_dat=%3Cproquest_cross%3E29222344%3C/proquest_cross%3E%3Curl%3E%3C/url%3E&disable_directlink=true&sfx.directlink=off&sfx.report_link=0&rft_id=info:oai/&rft_pqid=29222344&rft_id=info:pmid/&rft_els_id=S0020768306001697&rfr_iscdi=true