Full 3D finite element Cosserat formulation with application in layered structures
In this paper, a full three-dimensional (3D) finite element Cosserat formulation is developed within the principles of continuum mechanics in the small deformation framework. The developed finite element formulation is general; however, the proposed constitutive laws incorporate the effect of the in...
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| Veröffentlicht in: | Applied mathematical modelling 2009-08, Vol.33 (8), p.3450-3464 |
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| creator | Riahi, Azadeh Curran, John H. |
| description | In this paper, a full three-dimensional (3D) finite element Cosserat formulation is developed within the principles of continuum mechanics in the small deformation framework. The developed finite element formulation is general; however, the proposed constitutive laws incorporate the effect of the internal length parameter of 3D layered continua. The extension of the existing two-dimensional (2D) Cosserat formulation to the 3D framework is novel and is consistent with plate theory which can be considered as the 3D version of beam theory. The results demonstrate a high level of consistency with the analytical solutions predicted by plate theory as well as predictions by alternative numerical techniques such as the discrete element method. |
| doi_str_mv | 10.1016/j.apm.2008.11.022 |
| format | Article |
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The results demonstrate a high level of consistency with the analytical solutions predicted by plate theory as well as predictions by alternative numerical techniques such as the discrete element method.</description><subject>Characteristic length</subject><subject>Cosserat theory</subject><subject>Discrete element method</subject><subject>Exact sciences and technology</subject><subject>Finite element</subject><subject>Fundamental areas of phenomenology (including applications)</subject><subject>Layered plate</subject><subject>Micropolar theory</subject><subject>Physics</subject><subject>Solid mechanics</subject><subject>Structural and continuum mechanics</subject><issn>0307-904X</issn><fulltext>true</fulltext><rsrctype>article</rsrctype><creationdate>2009</creationdate><recordtype>article</recordtype><recordid>eNp9kE9Lw0AQxXNQsFY_gLe96K1xZ7NNEzxJtSoUBFHwtoyTCW7Z_HF3o_Tbm9Li0dMww3tveL8kuQCZgoT8epNi36RKyiIFSKVSR8lEZnIxK6V-P0lOQ9hIKefjNkleVoNzIrsTtW1tZMGOG26jWHYhsMco6s43g8Nou1b82PgpsO-dpf3BtsLhlj1XIkQ_UBw8h7PkuEYX-Pwwp8nb6v51-ThbPz88LW_XM9IS4qwoswIWqHRVARUaieScC9SZKlEhlTLTpEkpTcyKmbO8mn9oljlAjUWusmlytc_tffc1cIimsYHYOWy5G4LJNJQLKPJRCHsh-bGV59r03jbotwak2REzGzMSMztiBsCMxEbP5SEcA6GrPbZkw59RgZ4XpV6Mupu9jsem35a9CWS5Ja6sZ4qm6uw_X34BE0mDrQ</recordid><startdate>20090801</startdate><enddate>20090801</enddate><creator>Riahi, Azadeh</creator><creator>Curran, John H.</creator><general>Elsevier Inc</general><general>Elsevier</general><scope>6I.</scope><scope>AAFTH</scope><scope>IQODW</scope><scope>AAYXX</scope><scope>CITATION</scope><scope>7SC</scope><scope>8FD</scope><scope>JQ2</scope><scope>L7M</scope><scope>L~C</scope><scope>L~D</scope></search><sort><creationdate>20090801</creationdate><title>Full 3D finite element Cosserat formulation with application in layered structures</title><author>Riahi, Azadeh ; Curran, John H.</author></sort><facets><frbrtype>5</frbrtype><frbrgroupid>cdi_FETCH-LOGICAL-c401t-893817a24dd1c84acc05e8a4329a2ac9034c4c224cee2eee36d5b4e0611fa8623</frbrgroupid><rsrctype>articles</rsrctype><prefilter>articles</prefilter><language>eng</language><creationdate>2009</creationdate><topic>Characteristic length</topic><topic>Cosserat theory</topic><topic>Discrete element method</topic><topic>Exact sciences and technology</topic><topic>Finite element</topic><topic>Fundamental areas of phenomenology (including applications)</topic><topic>Layered plate</topic><topic>Micropolar theory</topic><topic>Physics</topic><topic>Solid mechanics</topic><topic>Structural and continuum mechanics</topic><toplevel>peer_reviewed</toplevel><toplevel>online_resources</toplevel><creatorcontrib>Riahi, Azadeh</creatorcontrib><creatorcontrib>Curran, John H.</creatorcontrib><collection>ScienceDirect Open Access Titles</collection><collection>Elsevier:ScienceDirect:Open Access</collection><collection>Pascal-Francis</collection><collection>CrossRef</collection><collection>Computer and Information Systems Abstracts</collection><collection>Technology Research Database</collection><collection>ProQuest Computer Science Collection</collection><collection>Advanced Technologies Database with Aerospace</collection><collection>Computer and Information Systems Abstracts Academic</collection><collection>Computer and Information Systems Abstracts Professional</collection><jtitle>Applied mathematical modelling</jtitle></facets><delivery><delcategory>Remote Search Resource</delcategory><fulltext>fulltext</fulltext></delivery><addata><au>Riahi, Azadeh</au><au>Curran, John H.</au><format>journal</format><genre>article</genre><ristype>JOUR</ristype><atitle>Full 3D finite element Cosserat formulation with application in layered structures</atitle><jtitle>Applied mathematical modelling</jtitle><date>2009-08-01</date><risdate>2009</risdate><volume>33</volume><issue>8</issue><spage>3450</spage><epage>3464</epage><pages>3450-3464</pages><issn>0307-904X</issn><coden>AMMODL</coden><abstract>In this paper, a full three-dimensional (3D) finite element Cosserat formulation is developed within the principles of continuum mechanics in the small deformation framework. 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| ispartof | Applied mathematical modelling, 2009-08, Vol.33 (8), p.3450-3464 |
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| source | Elsevier ScienceDirect Journals; Elektronische Zeitschriftenbibliothek - Frei zugängliche E-Journals |
| subjects | Characteristic length Cosserat theory Discrete element method Exact sciences and technology Finite element Fundamental areas of phenomenology (including applications) Layered plate Micropolar theory Physics Solid mechanics Structural and continuum mechanics |
| title | Full 3D finite element Cosserat formulation with application in layered structures |
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