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...
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Veröffentlicht in: | International journal of solids and structures 2006-11, Vol.43 (24), p.7268-7286 |
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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 |
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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 & 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. 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source | Elektronische Zeitschriftenbibliothek - Frei zugängliche E-Journals; Access via ScienceDirect (Elsevier) |
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 |
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