Integration of geometric design and mechanical analysis using B-spline functions on surface
B‐spline finite element method which integrates geometric design and mechanical analysis of shell structures is presented. To link geometric design and analysis modules completely, the non‐periodic cubic B‐spline functions are used for the description of geometry and for the displacement interpolati...
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| Veröffentlicht in: | International journal for numerical methods in engineering 2005-04, Vol.62 (14), p.1927-1949 |
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| container_end_page | 1949 |
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| container_issue | 14 |
| container_start_page | 1927 |
| container_title | International journal for numerical methods in engineering |
| container_volume | 62 |
| creator | Roh, Hee Yuel Cho, Maenghyo |
| description | B‐spline finite element method which integrates geometric design and mechanical analysis of shell structures is presented. To link geometric design and analysis modules completely, the non‐periodic cubic B‐spline functions are used for the description of geometry and for the displacement interpolation function in the formulation of an isoparametric B‐spline finite element. Non‐periodic B‐spline functions satisfy Kronecker delta properties at the boundaries of domain intervals and allow the handling of the boundary conditions in a conventional finite element formulation. In addition, in this interpolation, interior supports such as nodes can be introduced in a conventional finite element formulation. In the formulation of the mechanical analysis of shells, a general tensor‐based shell element with geometrically exact surface representation is employed. In addition, assumed natural strain fields are proposed to alleviate the locking problems. Various numerical examples are provided to assess the performance of the present B‐spline finite element. Copyright © 2005 John Wiley & Sons, Ltd. |
| doi_str_mv | 10.1002/nme.1254 |
| format | Article |
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To link geometric design and analysis modules completely, the non‐periodic cubic B‐spline functions are used for the description of geometry and for the displacement interpolation function in the formulation of an isoparametric B‐spline finite element. Non‐periodic B‐spline functions satisfy Kronecker delta properties at the boundaries of domain intervals and allow the handling of the boundary conditions in a conventional finite element formulation. In addition, in this interpolation, interior supports such as nodes can be introduced in a conventional finite element formulation. In the formulation of the mechanical analysis of shells, a general tensor‐based shell element with geometrically exact surface representation is employed. In addition, assumed natural strain fields are proposed to alleviate the locking problems. Various numerical examples are provided to assess the performance of the present B‐spline finite element. Copyright © 2005 John Wiley & Sons, Ltd.</description><identifier>ISSN: 0029-5981</identifier><identifier>EISSN: 1097-0207</identifier><identifier>DOI: 10.1002/nme.1254</identifier><identifier>CODEN: IJNMBH</identifier><language>eng</language><publisher>Chichester, UK: John Wiley & Sons, Ltd</publisher><subject>assumed natural strain ; B-spline function ; Design engineering ; Exact sciences and technology ; Finite element method ; Fundamental areas of phenomenology (including applications) ; geometric design ; Interpolation ; Materials handling ; Mathematical analysis ; Mathematical models ; Mechanical analysis ; Physics ; shell finite element ; Shells ; Solid mechanics ; Static elasticity (thermoelasticity...) ; Structural and continuum mechanics</subject><ispartof>International journal for numerical methods in engineering, 2005-04, Vol.62 (14), p.1927-1949</ispartof><rights>Copyright © 2005 John Wiley & Sons, Ltd.</rights><rights>2005 INIST-CNRS</rights><lds50>peer_reviewed</lds50><woscitedreferencessubscribed>false</woscitedreferencessubscribed><citedby>FETCH-LOGICAL-c4634-ebd35c973586c4efd5acdd61b6813ad022d348b69575a45daa31af24a91bf0113</citedby><cites>FETCH-LOGICAL-c4634-ebd35c973586c4efd5acdd61b6813ad022d348b69575a45daa31af24a91bf0113</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.1254$$EPDF$$P50$$Gwiley$$H</linktopdf><linktohtml>$$Uhttps://onlinelibrary.wiley.com/doi/full/10.1002%2Fnme.1254$$EHTML$$P50$$Gwiley$$H</linktohtml><link.rule.ids>314,780,784,1417,27924,27925,45574,45575</link.rule.ids><backlink>$$Uhttp://pascal-francis.inist.fr/vibad/index.php?action=getRecordDetail&idt=16650058$$DView record in Pascal Francis$$Hfree_for_read</backlink></links><search><creatorcontrib>Roh, Hee Yuel</creatorcontrib><creatorcontrib>Cho, Maenghyo</creatorcontrib><title>Integration of geometric design and mechanical analysis using B-spline functions on surface</title><title>International journal for numerical methods in engineering</title><addtitle>Int. J. Numer. Meth. Engng</addtitle><description>B‐spline finite element method which integrates geometric design and mechanical analysis of shell structures is presented. To link geometric design and analysis modules completely, the non‐periodic cubic B‐spline functions are used for the description of geometry and for the displacement interpolation function in the formulation of an isoparametric B‐spline finite element. Non‐periodic B‐spline functions satisfy Kronecker delta properties at the boundaries of domain intervals and allow the handling of the boundary conditions in a conventional finite element formulation. In addition, in this interpolation, interior supports such as nodes can be introduced in a conventional finite element formulation. In the formulation of the mechanical analysis of shells, a general tensor‐based shell element with geometrically exact surface representation is employed. In addition, assumed natural strain fields are proposed to alleviate the locking problems. Various numerical examples are provided to assess the performance of the present B‐spline finite element. Copyright © 2005 John Wiley & Sons, Ltd.</description><subject>assumed natural strain</subject><subject>B-spline function</subject><subject>Design engineering</subject><subject>Exact sciences and technology</subject><subject>Finite element method</subject><subject>Fundamental areas of phenomenology (including applications)</subject><subject>geometric design</subject><subject>Interpolation</subject><subject>Materials handling</subject><subject>Mathematical analysis</subject><subject>Mathematical models</subject><subject>Mechanical analysis</subject><subject>Physics</subject><subject>shell finite element</subject><subject>Shells</subject><subject>Solid mechanics</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>2005</creationdate><recordtype>article</recordtype><recordid>eNp9kMuKFDEUQIMo2I6Cn5CN4qbGPCqp1FKHcR60I4gyCxfhdh5ttCrV5lah_feTZhpnpatwyeFc7iHkJWennDHxNo_hlAvVPiIrzvquYYJ1j8mqfvWN6g1_Sp4h_mCMc8Xkiny7ynPYFpjTlOkU6TZMY5hLctQHTNtMIXs6BvcdcnIw1BGGPSakC6a8pe8b3A0pBxqX7A4OpNWDS4ngwnPyJMKA4cXxPSFfP5x_Obts1p8urs7erRvXatk2YeOlcn0nldGuDdErcN5rvtGGS_BMCC9bs9G96hS0ygNIDlG00PNNrHfIE_L63rsr068l4GzHhC4MA-QwLWhF30qjuangm_-CnBnBjTGCPaCuTIglRLsraYSyr5A9hLY1tD2EruiroxWwJooFskv4wGutGFOH7c099zsNYf9Pn735eH70HvmEc_jzl4fy0-pOdsre3lzYTl6u-8-315bJO6-SmyE</recordid><startdate>20050414</startdate><enddate>20050414</enddate><creator>Roh, Hee Yuel</creator><creator>Cho, Maenghyo</creator><general>John Wiley & Sons, Ltd</general><general>Wiley</general><scope>BSCLL</scope><scope>IQODW</scope><scope>AAYXX</scope><scope>CITATION</scope><scope>7SC</scope><scope>7TB</scope><scope>8FD</scope><scope>FR3</scope><scope>JQ2</scope><scope>KR7</scope><scope>L7M</scope><scope>L~C</scope><scope>L~D</scope></search><sort><creationdate>20050414</creationdate><title>Integration of geometric design and mechanical analysis using B-spline functions on surface</title><author>Roh, Hee Yuel ; Cho, Maenghyo</author></sort><facets><frbrtype>5</frbrtype><frbrgroupid>cdi_FETCH-LOGICAL-c4634-ebd35c973586c4efd5acdd61b6813ad022d348b69575a45daa31af24a91bf0113</frbrgroupid><rsrctype>articles</rsrctype><prefilter>articles</prefilter><language>eng</language><creationdate>2005</creationdate><topic>assumed natural strain</topic><topic>B-spline function</topic><topic>Design engineering</topic><topic>Exact sciences and technology</topic><topic>Finite element method</topic><topic>Fundamental areas of phenomenology (including applications)</topic><topic>geometric design</topic><topic>Interpolation</topic><topic>Materials handling</topic><topic>Mathematical analysis</topic><topic>Mathematical models</topic><topic>Mechanical analysis</topic><topic>Physics</topic><topic>shell finite element</topic><topic>Shells</topic><topic>Solid mechanics</topic><topic>Static elasticity (thermoelasticity...)</topic><topic>Structural and continuum mechanics</topic><toplevel>peer_reviewed</toplevel><toplevel>online_resources</toplevel><creatorcontrib>Roh, Hee Yuel</creatorcontrib><creatorcontrib>Cho, Maenghyo</creatorcontrib><collection>Istex</collection><collection>Pascal-Francis</collection><collection>CrossRef</collection><collection>Computer and Information Systems Abstracts</collection><collection>Mechanical & Transportation Engineering Abstracts</collection><collection>Technology Research Database</collection><collection>Engineering Research Database</collection><collection>ProQuest Computer Science Collection</collection><collection>Civil Engineering Abstracts</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>International journal for numerical methods in engineering</jtitle></facets><delivery><delcategory>Remote Search Resource</delcategory><fulltext>fulltext</fulltext></delivery><addata><au>Roh, Hee Yuel</au><au>Cho, Maenghyo</au><format>journal</format><genre>article</genre><ristype>JOUR</ristype><atitle>Integration of geometric design and mechanical analysis using B-spline functions on surface</atitle><jtitle>International journal for numerical methods in engineering</jtitle><addtitle>Int. J. Numer. Meth. Engng</addtitle><date>2005-04-14</date><risdate>2005</risdate><volume>62</volume><issue>14</issue><spage>1927</spage><epage>1949</epage><pages>1927-1949</pages><issn>0029-5981</issn><eissn>1097-0207</eissn><coden>IJNMBH</coden><abstract>B‐spline finite element method which integrates geometric design and mechanical analysis of shell structures is presented. To link geometric design and analysis modules completely, the non‐periodic cubic B‐spline functions are used for the description of geometry and for the displacement interpolation function in the formulation of an isoparametric B‐spline finite element. Non‐periodic B‐spline functions satisfy Kronecker delta properties at the boundaries of domain intervals and allow the handling of the boundary conditions in a conventional finite element formulation. In addition, in this interpolation, interior supports such as nodes can be introduced in a conventional finite element formulation. In the formulation of the mechanical analysis of shells, a general tensor‐based shell element with geometrically exact surface representation is employed. In addition, assumed natural strain fields are proposed to alleviate the locking problems. Various numerical examples are provided to assess the performance of the present B‐spline finite element. Copyright © 2005 John Wiley & Sons, Ltd.</abstract><cop>Chichester, UK</cop><pub>John Wiley & Sons, Ltd</pub><doi>10.1002/nme.1254</doi><tpages>23</tpages></addata></record> |
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| ispartof | International journal for numerical methods in engineering, 2005-04, Vol.62 (14), p.1927-1949 |
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| language | eng |
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| subjects | assumed natural strain B-spline function Design engineering Exact sciences and technology Finite element method Fundamental areas of phenomenology (including applications) geometric design Interpolation Materials handling Mathematical analysis Mathematical models Mechanical analysis Physics shell finite element Shells Solid mechanics Static elasticity (thermoelasticity...) Structural and continuum mechanics |
| title | Integration of geometric design and mechanical analysis using B-spline functions on surface |
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