A quadrilateral hybrid stress element for Mindlin plates based on incompatible displacements
An hybrid stress element formulation based on internal, incompatible displacements is used to develop efficient Mindlin plate elements. The 4‐node quadrilateral Mindlin plate element is derived from a modified energy functional. Both displacements and stresses are defined in the natural co‐ordinate...
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| Veröffentlicht in: | International journal for numerical methods in engineering 1994-01, Vol.37 (2), p.279-296 |
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| container_end_page | 296 |
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| container_title | International journal for numerical methods in engineering |
| container_volume | 37 |
| creator | Dong, Y.-F. De Freitas, J. A. Teixeira |
| description | An hybrid stress element formulation based on internal, incompatible displacements is used to develop efficient Mindlin plate elements. The 4‐node quadrilateral Mindlin plate element is derived from a modified energy functional. Both displacements and stresses are defined in the natural co‐ordinate interpolation system. The assumed stress field is obtained by tensor transformation and so chosen as to ensure that the element is co‐ordinate invariant and stable. Shear locking is avoided through an appropriate identification of the internal, incompatible displacement field. The role played by incompatible displacements in the formulation of hybrid stress elements for thin and moderately thick plates is discussed. Numerical applications are presented to illustrate the accuracy and reliability of the suggested Mindlin plate element. |
| doi_str_mv | 10.1002/nme.1620370207 |
| format | Article |
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A. Teixeira</creator><creatorcontrib>Dong, Y.-F. ; De Freitas, J. A. Teixeira</creatorcontrib><description>An hybrid stress element formulation based on internal, incompatible displacements is used to develop efficient Mindlin plate elements. The 4‐node quadrilateral Mindlin plate element is derived from a modified energy functional. Both displacements and stresses are defined in the natural co‐ordinate interpolation system. The assumed stress field is obtained by tensor transformation and so chosen as to ensure that the element is co‐ordinate invariant and stable. Shear locking is avoided through an appropriate identification of the internal, incompatible displacement field. The role played by incompatible displacements in the formulation of hybrid stress elements for thin and moderately thick plates is discussed. Numerical applications are presented to illustrate the accuracy and reliability of the suggested Mindlin plate element.</description><identifier>ISSN: 0029-5981</identifier><identifier>EISSN: 1097-0207</identifier><identifier>DOI: 10.1002/nme.1620370207</identifier><identifier>CODEN: IJNMBH</identifier><language>eng</language><publisher>New York: John Wiley & Sons, Ltd</publisher><subject>Exact sciences and technology ; Fundamental areas of phenomenology (including applications) ; Physics ; Solid mechanics ; Static elasticity ; Static elasticity (thermoelasticity...) ; Structural and continuum mechanics</subject><ispartof>International journal for numerical methods in engineering, 1994-01, Vol.37 (2), p.279-296</ispartof><rights>Copyright © 1994 John Wiley & Sons, Ltd</rights><rights>1994 INIST-CNRS</rights><lds50>peer_reviewed</lds50><woscitedreferencessubscribed>false</woscitedreferencessubscribed><citedby>FETCH-LOGICAL-c3547-24c3d670edbbdc4f9c87ad8e741fb62428ecff39fcca73b673de27ec167eba83</citedby><cites>FETCH-LOGICAL-c3547-24c3d670edbbdc4f9c87ad8e741fb62428ecff39fcca73b673de27ec167eba83</cites></display><links><openurl>$$Topenurl_article</openurl><openurlfulltext>$$Topenurlfull_article</openurlfulltext><thumbnail>$$Tsyndetics_thumb_exl</thumbnail><linktopdf>$$Uhttps://onlinelibrary.wiley.com/doi/pdf/10.1002%2Fnme.1620370207$$EPDF$$P50$$Gwiley$$H</linktopdf><linktohtml>$$Uhttps://onlinelibrary.wiley.com/doi/full/10.1002%2Fnme.1620370207$$EHTML$$P50$$Gwiley$$H</linktohtml><link.rule.ids>314,778,782,1414,27907,27908,45557,45558</link.rule.ids><backlink>$$Uhttp://pascal-francis.inist.fr/vibad/index.php?action=getRecordDetail&idt=3873469$$DView record in Pascal Francis$$Hfree_for_read</backlink></links><search><creatorcontrib>Dong, Y.-F.</creatorcontrib><creatorcontrib>De Freitas, J. A. Teixeira</creatorcontrib><title>A quadrilateral hybrid stress element for Mindlin plates based on incompatible displacements</title><title>International journal for numerical methods in engineering</title><addtitle>Int. J. Numer. Meth. Engng</addtitle><description>An hybrid stress element formulation based on internal, incompatible displacements is used to develop efficient Mindlin plate elements. The 4‐node quadrilateral Mindlin plate element is derived from a modified energy functional. Both displacements and stresses are defined in the natural co‐ordinate interpolation system. The assumed stress field is obtained by tensor transformation and so chosen as to ensure that the element is co‐ordinate invariant and stable. Shear locking is avoided through an appropriate identification of the internal, incompatible displacement field. The role played by incompatible displacements in the formulation of hybrid stress elements for thin and moderately thick plates is discussed. Numerical applications are presented to illustrate the accuracy and reliability of the suggested Mindlin plate element.</description><subject>Exact sciences and technology</subject><subject>Fundamental areas of phenomenology (including applications)</subject><subject>Physics</subject><subject>Solid mechanics</subject><subject>Static elasticity</subject><subject>Static elasticity (thermoelasticity...)</subject><subject>Structural and continuum mechanics</subject><issn>0029-5981</issn><issn>1097-0207</issn><fulltext>true</fulltext><rsrctype>article</rsrctype><creationdate>1994</creationdate><recordtype>article</recordtype><recordid>eNqFkE1LAzEQhoMoWKtXzzl43Zpsdje7x1KqVdqKUKwHIeRjgtH9qMmK9t-7daXiydMMzPPMDC9C55SMKCHxZV3BiGYxYZzEhB-gASUFj3b9IRp0QBGlRU6P0UkIL4RQmhI2QE9j_PYujXelbMHLEj9vlXcGh9ZDCBhKqKBusW08XrjalK7Gmx0asJIBDG5q7GrdVBvZOlUCNi50c_1thVN0ZGUZ4OynDtHqarqazKL53fXNZDyPNEsTHsWJZibjBIxSRie20DmXJgeeUKuyOIlz0NaywmotOVMZZwZiDppmHJTM2RCN-rXaNyF4sGLjXSX9VlAidtGILhrxG00nXPTCRgYtS-tlrV3YWyznLMmKDit67MOVsP1nqVgupn9ORL3rQgufe1f6V9H9z1OxXl4Lfr98fLidrUXCvgARNoaT</recordid><startdate>19940130</startdate><enddate>19940130</enddate><creator>Dong, Y.-F.</creator><creator>De Freitas, J. 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Teixeira</author></sort><facets><frbrtype>5</frbrtype><frbrgroupid>cdi_FETCH-LOGICAL-c3547-24c3d670edbbdc4f9c87ad8e741fb62428ecff39fcca73b673de27ec167eba83</frbrgroupid><rsrctype>articles</rsrctype><prefilter>articles</prefilter><language>eng</language><creationdate>1994</creationdate><topic>Exact sciences and technology</topic><topic>Fundamental areas of phenomenology (including applications)</topic><topic>Physics</topic><topic>Solid mechanics</topic><topic>Static elasticity</topic><topic>Static elasticity (thermoelasticity...)</topic><topic>Structural and continuum mechanics</topic><toplevel>peer_reviewed</toplevel><toplevel>online_resources</toplevel><creatorcontrib>Dong, Y.-F.</creatorcontrib><creatorcontrib>De Freitas, J. A. Teixeira</creatorcontrib><collection>Istex</collection><collection>Pascal-Francis</collection><collection>CrossRef</collection><jtitle>International journal for numerical methods in engineering</jtitle></facets><delivery><delcategory>Remote Search Resource</delcategory><fulltext>fulltext</fulltext></delivery><addata><au>Dong, Y.-F.</au><au>De Freitas, J. A. Teixeira</au><format>journal</format><genre>article</genre><ristype>JOUR</ristype><atitle>A quadrilateral hybrid stress element for Mindlin plates based on incompatible displacements</atitle><jtitle>International journal for numerical methods in engineering</jtitle><addtitle>Int. J. Numer. Meth. Engng</addtitle><date>1994-01-30</date><risdate>1994</risdate><volume>37</volume><issue>2</issue><spage>279</spage><epage>296</epage><pages>279-296</pages><issn>0029-5981</issn><eissn>1097-0207</eissn><coden>IJNMBH</coden><abstract>An hybrid stress element formulation based on internal, incompatible displacements is used to develop efficient Mindlin plate elements. The 4‐node quadrilateral Mindlin plate element is derived from a modified energy functional. Both displacements and stresses are defined in the natural co‐ordinate interpolation system. The assumed stress field is obtained by tensor transformation and so chosen as to ensure that the element is co‐ordinate invariant and stable. Shear locking is avoided through an appropriate identification of the internal, incompatible displacement field. The role played by incompatible displacements in the formulation of hybrid stress elements for thin and moderately thick plates is discussed. Numerical applications are presented to illustrate the accuracy and reliability of the suggested Mindlin plate element.</abstract><cop>New York</cop><pub>John Wiley & Sons, Ltd</pub><doi>10.1002/nme.1620370207</doi><tpages>18</tpages></addata></record> |
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| ispartof | International journal for numerical methods in engineering, 1994-01, Vol.37 (2), p.279-296 |
| issn | 0029-5981 1097-0207 |
| language | eng |
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| source | Wiley Online Library Journals Frontfile Complete |
| subjects | Exact sciences and technology Fundamental areas of phenomenology (including applications) Physics Solid mechanics Static elasticity Static elasticity (thermoelasticity...) Structural and continuum mechanics |
| title | A quadrilateral hybrid stress element for Mindlin plates based on incompatible displacements |
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