Isoparametric spline finite strip method for the bending of perforated plates
The isoparametric spline finite strip method was recently applied by the authors to the linear elastic in‐plane stress analysis of perforated thin‐walled structures. In this paper, the application of the method is extended to the bending of perforated plates. The paper describes the theory of the is...
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| Veröffentlicht in: | International journal for numerical methods in engineering 2008-05, Vol.74 (9), p.1448-1472 |
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| container_title | International journal for numerical methods in engineering |
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| creator | Eccher, G. Rasmussen, K. J. R. Zandonini, R. |
| description | The isoparametric spline finite strip method was recently applied by the authors to the linear elastic in‐plane stress analysis of perforated thin‐walled structures. In this paper, the application of the method is extended to the bending of perforated plates. The paper describes the theory of the isoparametric spline finite strip method in the context of Mindlin plate bending theory. It sets out the strain–displacement and stress–strain relationships and derives expressions for the local and global stiffness matrices. The reliability of the method is demonstrated by comparisons with finely meshed finite element analysis results. Square plates in bending containing openings of different shapes are analysed. Copyright © 2007 John Wiley & Sons, Ltd. |
| doi_str_mv | 10.1002/nme.2220 |
| format | Article |
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Copyright © 2007 John Wiley & Sons, Ltd.</description><identifier>ISSN: 0029-5981</identifier><identifier>EISSN: 1097-0207</identifier><identifier>DOI: 10.1002/nme.2220</identifier><identifier>CODEN: IJNMBH</identifier><language>eng</language><publisher>Chichester, UK: John Wiley & Sons, Ltd</publisher><subject>Computational techniques ; Exact sciences and technology ; Fundamental areas of phenomenology (including applications) ; isoparametric spline finite strip method ; Mathematical methods in physics ; perforations ; Physics ; plate bending analysis ; Solid mechanics ; Static elasticity (thermoelasticity...) ; Structural and continuum mechanics ; thin-walled structures</subject><ispartof>International journal for numerical methods in engineering, 2008-05, Vol.74 (9), p.1448-1472</ispartof><rights>Copyright © 2007 John Wiley & Sons, Ltd.</rights><rights>2008 INIST-CNRS</rights><lds50>peer_reviewed</lds50><woscitedreferencessubscribed>false</woscitedreferencessubscribed><citedby>FETCH-LOGICAL-c3640-72efe817f9745f95045b2d1e69cb43ad00c18b6c5ffd9692fab01bed765cf6ea3</citedby><cites>FETCH-LOGICAL-c3640-72efe817f9745f95045b2d1e69cb43ad00c18b6c5ffd9692fab01bed765cf6ea3</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.2220$$EPDF$$P50$$Gwiley$$H</linktopdf><linktohtml>$$Uhttps://onlinelibrary.wiley.com/doi/full/10.1002%2Fnme.2220$$EHTML$$P50$$Gwiley$$H</linktohtml><link.rule.ids>315,781,785,1418,27929,27930,45579,45580</link.rule.ids><backlink>$$Uhttp://pascal-francis.inist.fr/vibad/index.php?action=getRecordDetail&idt=20339018$$DView record in Pascal Francis$$Hfree_for_read</backlink></links><search><creatorcontrib>Eccher, G.</creatorcontrib><creatorcontrib>Rasmussen, K. 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Square plates in bending containing openings of different shapes are analysed. Copyright © 2007 John Wiley & Sons, Ltd.</description><subject>Computational techniques</subject><subject>Exact sciences and technology</subject><subject>Fundamental areas of phenomenology (including applications)</subject><subject>isoparametric spline finite strip method</subject><subject>Mathematical methods in physics</subject><subject>perforations</subject><subject>Physics</subject><subject>plate bending analysis</subject><subject>Solid mechanics</subject><subject>Static elasticity (thermoelasticity...)</subject><subject>Structural and continuum mechanics</subject><subject>thin-walled structures</subject><issn>0029-5981</issn><issn>1097-0207</issn><fulltext>true</fulltext><rsrctype>article</rsrctype><creationdate>2008</creationdate><recordtype>article</recordtype><recordid>eNp10DFPwzAQBWALgUQpSPwELyCWlLOdxPWIKihIFBiAjpbjnKkhTYIdBPx7jFqxMZ307tMbHiHHDCYMgJ-3a5xwzmGHjBgomQEHuUtG6aWyQk3ZPjmI8RWAsQLEiCxuYtebYNY4BG9p7BvfInW-9QPSmLKepteqq6nrAh1WSCtsa9--0M7RHkNKzYA17Zt04iHZc6aJeLS9Y_J0dfk4u85u7-c3s4vbzIoyh0xydDhl0imZF04VkBcVrxmWyla5MDWAZdOqtIVztSoVd6YCVmEty8K6Eo0Yk9NNbx-69w-Mg177aLFpTIvdR9RC5CqXiid4toE2dDEGdLoPfm3Ct2agf_fSaS_9u1eiJ9tOE61pXDCt9fHPJyEUsGly2cZ9-ga__-3Td4vLbe_W-zjg15834U2XUshCL-_mevHwfK2WbKYX4gf3eYjb</recordid><startdate>20080528</startdate><enddate>20080528</enddate><creator>Eccher, G.</creator><creator>Rasmussen, K. 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It sets out the strain–displacement and stress–strain relationships and derives expressions for the local and global stiffness matrices. The reliability of the method is demonstrated by comparisons with finely meshed finite element analysis results. Square plates in bending containing openings of different shapes are analysed. Copyright © 2007 John Wiley & Sons, Ltd.</abstract><cop>Chichester, UK</cop><pub>John Wiley & Sons, Ltd</pub><doi>10.1002/nme.2220</doi><tpages>25</tpages></addata></record> |
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| subjects | Computational techniques Exact sciences and technology Fundamental areas of phenomenology (including applications) isoparametric spline finite strip method Mathematical methods in physics perforations Physics plate bending analysis Solid mechanics Static elasticity (thermoelasticity...) Structural and continuum mechanics thin-walled structures |
| title | Isoparametric spline finite strip method for the bending of perforated plates |
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