High-order mortar-based contact element using NURBS for the mapping of contact curved surfaces
In this paper, we present a high-order mortar-based contact element for the solution of two and three-dimensional frictional contact problems, considering small and large deformations. The Neo-Hookean isotropic compressible hyperelastic material model is considered. The mapping of curved surfaces of...
Gespeichert in:
| Veröffentlicht in: | Computational mechanics 2019-07, Vol.64 (1), p.85-112 |
|---|---|
| Hauptverfasser: | , , |
| Format: | Artikel |
| Sprache: | eng |
| Schlagworte: | |
| Online-Zugang: | Volltext |
| Tags: |
Tag hinzufügen
Keine Tags, Fügen Sie den ersten Tag hinzu!
|
| container_end_page | 112 |
|---|---|
| container_issue | 1 |
| container_start_page | 85 |
| container_title | Computational mechanics |
| container_volume | 64 |
| creator | Dias, A. P. C. Proenca, S. P. B. Bittencourt, M. L. |
| description | In this paper, we present a high-order mortar-based contact element for the solution of two and three-dimensional frictional contact problems, considering small and large deformations. The Neo-Hookean isotropic compressible hyperelastic material model is considered. The mapping of curved surfaces of elements is performed with Non-Uniform Rational B-Splines. The behavior of the element in small and large deformations is verified by comparing it with solutions available in the literature, presenting studies of accuracy and processing time exhibited by the contact elements considering the
h
- and
p
-refinements. The comparative results show that the high-order interpolation is a strategy which has a better performance for the contact problems analysed, while improving solution accuracy of the contact stresses and forces with a lower processing time. |
| doi_str_mv | 10.1007/s00466-018-1658-6 |
| format | Article |
| fullrecord | <record><control><sourceid>gale_proqu</sourceid><recordid>TN_cdi_proquest_journals_2241511172</recordid><sourceformat>XML</sourceformat><sourcesystem>PC</sourcesystem><galeid>A589557888</galeid><sourcerecordid>A589557888</sourcerecordid><originalsourceid>FETCH-LOGICAL-c389t-e4daf081fd7f2451ec33788202eb9a0e36cd456f44ef0166b37e1bb7d72af0793</originalsourceid><addsrcrecordid>eNp1kU9rFjEQh4Mo-Fr9AN4WPHlIm8nm3x5rUVsoCq29GrLZyXbLu5vXJCv67c3LSqUHmUNgeJ6ZDD9C3gI7Bcb0WWZMKEUZGApKGqqekR2IllPWcfGc7BhoQ7XS8iV5lfMDYyBNK3fk--U03tOYBkzNHFNxifYu49D4uBTnS4N7nHEpzZqnZWy-3N18uG1CTE25x2Z2h8OxG8Mj7tf0s9p5TcF5zK_Ji-D2Gd_8fU_I3aeP3y4u6fXXz1cX59fUt6YrFMXgAjMQBh24kIC-bbUxnHHsO8ewVX4QUgUhMDBQqm81Qt_rQfPq6a49Ie-2uYcUf6yYi32Ia1rqSsu5AAkAmlfqdKNGt0c7LSGW5HytAeepXoBhqv1zaTop63pThfdPhOOV-KuMbs3ZXt3ePGVhY32KOScM9pCm2aXfFpg9ZmS3jGzNyB4zsqo6fHNyZZcR079v_1_6AxxCkw0</addsrcrecordid><sourcetype>Aggregation Database</sourcetype><iscdi>true</iscdi><recordtype>article</recordtype><pqid>2241511172</pqid></control><display><type>article</type><title>High-order mortar-based contact element using NURBS for the mapping of contact curved surfaces</title><source>SpringerLink Journals - AutoHoldings</source><creator>Dias, A. P. C. ; Proenca, S. P. B. ; Bittencourt, M. L.</creator><creatorcontrib>Dias, A. P. C. ; Proenca, S. P. B. ; Bittencourt, M. L.</creatorcontrib><description>In this paper, we present a high-order mortar-based contact element for the solution of two and three-dimensional frictional contact problems, considering small and large deformations. The Neo-Hookean isotropic compressible hyperelastic material model is considered. The mapping of curved surfaces of elements is performed with Non-Uniform Rational B-Splines. The behavior of the element in small and large deformations is verified by comparing it with solutions available in the literature, presenting studies of accuracy and processing time exhibited by the contact elements considering the
h
- and
p
-refinements. The comparative results show that the high-order interpolation is a strategy which has a better performance for the contact problems analysed, while improving solution accuracy of the contact stresses and forces with a lower processing time.</description><identifier>ISSN: 0178-7675</identifier><identifier>EISSN: 1432-0924</identifier><identifier>DOI: 10.1007/s00466-018-1658-6</identifier><language>eng</language><publisher>Berlin/Heidelberg: Springer Berlin Heidelberg</publisher><subject>Classical and Continuum Physics ; Compressibility ; Computational Science and Engineering ; Contact stresses ; Deformation ; Engineering ; Interpolation ; Isotropic material ; Mapping ; Mortars (material) ; Original Paper ; Splines ; Theoretical and Applied Mechanics</subject><ispartof>Computational mechanics, 2019-07, Vol.64 (1), p.85-112</ispartof><rights>Springer-Verlag GmbH Germany, part of Springer Nature 2018</rights><rights>COPYRIGHT 2019 Springer</rights><rights>Copyright Springer Nature B.V. 2019</rights><lds50>peer_reviewed</lds50><woscitedreferencessubscribed>false</woscitedreferencessubscribed><citedby>FETCH-LOGICAL-c389t-e4daf081fd7f2451ec33788202eb9a0e36cd456f44ef0166b37e1bb7d72af0793</citedby><cites>FETCH-LOGICAL-c389t-e4daf081fd7f2451ec33788202eb9a0e36cd456f44ef0166b37e1bb7d72af0793</cites></display><links><openurl>$$Topenurl_article</openurl><openurlfulltext>$$Topenurlfull_article</openurlfulltext><thumbnail>$$Tsyndetics_thumb_exl</thumbnail><linktopdf>$$Uhttps://link.springer.com/content/pdf/10.1007/s00466-018-1658-6$$EPDF$$P50$$Gspringer$$H</linktopdf><linktohtml>$$Uhttps://link.springer.com/10.1007/s00466-018-1658-6$$EHTML$$P50$$Gspringer$$H</linktohtml><link.rule.ids>314,780,784,27924,27925,41488,42557,51319</link.rule.ids></links><search><creatorcontrib>Dias, A. P. C.</creatorcontrib><creatorcontrib>Proenca, S. P. B.</creatorcontrib><creatorcontrib>Bittencourt, M. L.</creatorcontrib><title>High-order mortar-based contact element using NURBS for the mapping of contact curved surfaces</title><title>Computational mechanics</title><addtitle>Comput Mech</addtitle><description>In this paper, we present a high-order mortar-based contact element for the solution of two and three-dimensional frictional contact problems, considering small and large deformations. The Neo-Hookean isotropic compressible hyperelastic material model is considered. The mapping of curved surfaces of elements is performed with Non-Uniform Rational B-Splines. The behavior of the element in small and large deformations is verified by comparing it with solutions available in the literature, presenting studies of accuracy and processing time exhibited by the contact elements considering the
h
- and
p
-refinements. The comparative results show that the high-order interpolation is a strategy which has a better performance for the contact problems analysed, while improving solution accuracy of the contact stresses and forces with a lower processing time.</description><subject>Classical and Continuum Physics</subject><subject>Compressibility</subject><subject>Computational Science and Engineering</subject><subject>Contact stresses</subject><subject>Deformation</subject><subject>Engineering</subject><subject>Interpolation</subject><subject>Isotropic material</subject><subject>Mapping</subject><subject>Mortars (material)</subject><subject>Original Paper</subject><subject>Splines</subject><subject>Theoretical and Applied Mechanics</subject><issn>0178-7675</issn><issn>1432-0924</issn><fulltext>true</fulltext><rsrctype>article</rsrctype><creationdate>2019</creationdate><recordtype>article</recordtype><recordid>eNp1kU9rFjEQh4Mo-Fr9AN4WPHlIm8nm3x5rUVsoCq29GrLZyXbLu5vXJCv67c3LSqUHmUNgeJ6ZDD9C3gI7Bcb0WWZMKEUZGApKGqqekR2IllPWcfGc7BhoQ7XS8iV5lfMDYyBNK3fk--U03tOYBkzNHFNxifYu49D4uBTnS4N7nHEpzZqnZWy-3N18uG1CTE25x2Z2h8OxG8Mj7tf0s9p5TcF5zK_Ji-D2Gd_8fU_I3aeP3y4u6fXXz1cX59fUt6YrFMXgAjMQBh24kIC-bbUxnHHsO8ewVX4QUgUhMDBQqm81Qt_rQfPq6a49Ie-2uYcUf6yYi32Ia1rqSsu5AAkAmlfqdKNGt0c7LSGW5HytAeepXoBhqv1zaTop63pThfdPhOOV-KuMbs3ZXt3ePGVhY32KOScM9pCm2aXfFpg9ZmS3jGzNyB4zsqo6fHNyZZcR079v_1_6AxxCkw0</recordid><startdate>20190701</startdate><enddate>20190701</enddate><creator>Dias, A. P. C.</creator><creator>Proenca, S. P. B.</creator><creator>Bittencourt, M. L.</creator><general>Springer Berlin Heidelberg</general><general>Springer</general><general>Springer Nature B.V</general><scope>AAYXX</scope><scope>CITATION</scope><scope>ISR</scope></search><sort><creationdate>20190701</creationdate><title>High-order mortar-based contact element using NURBS for the mapping of contact curved surfaces</title><author>Dias, A. P. C. ; Proenca, S. P. B. ; Bittencourt, M. L.</author></sort><facets><frbrtype>5</frbrtype><frbrgroupid>cdi_FETCH-LOGICAL-c389t-e4daf081fd7f2451ec33788202eb9a0e36cd456f44ef0166b37e1bb7d72af0793</frbrgroupid><rsrctype>articles</rsrctype><prefilter>articles</prefilter><language>eng</language><creationdate>2019</creationdate><topic>Classical and Continuum Physics</topic><topic>Compressibility</topic><topic>Computational Science and Engineering</topic><topic>Contact stresses</topic><topic>Deformation</topic><topic>Engineering</topic><topic>Interpolation</topic><topic>Isotropic material</topic><topic>Mapping</topic><topic>Mortars (material)</topic><topic>Original Paper</topic><topic>Splines</topic><topic>Theoretical and Applied Mechanics</topic><toplevel>peer_reviewed</toplevel><toplevel>online_resources</toplevel><creatorcontrib>Dias, A. P. C.</creatorcontrib><creatorcontrib>Proenca, S. P. B.</creatorcontrib><creatorcontrib>Bittencourt, M. L.</creatorcontrib><collection>CrossRef</collection><collection>Gale In Context: Science</collection><jtitle>Computational mechanics</jtitle></facets><delivery><delcategory>Remote Search Resource</delcategory><fulltext>fulltext</fulltext></delivery><addata><au>Dias, A. P. C.</au><au>Proenca, S. P. B.</au><au>Bittencourt, M. L.</au><format>journal</format><genre>article</genre><ristype>JOUR</ristype><atitle>High-order mortar-based contact element using NURBS for the mapping of contact curved surfaces</atitle><jtitle>Computational mechanics</jtitle><stitle>Comput Mech</stitle><date>2019-07-01</date><risdate>2019</risdate><volume>64</volume><issue>1</issue><spage>85</spage><epage>112</epage><pages>85-112</pages><issn>0178-7675</issn><eissn>1432-0924</eissn><abstract>In this paper, we present a high-order mortar-based contact element for the solution of two and three-dimensional frictional contact problems, considering small and large deformations. The Neo-Hookean isotropic compressible hyperelastic material model is considered. The mapping of curved surfaces of elements is performed with Non-Uniform Rational B-Splines. The behavior of the element in small and large deformations is verified by comparing it with solutions available in the literature, presenting studies of accuracy and processing time exhibited by the contact elements considering the
h
- and
p
-refinements. The comparative results show that the high-order interpolation is a strategy which has a better performance for the contact problems analysed, while improving solution accuracy of the contact stresses and forces with a lower processing time.</abstract><cop>Berlin/Heidelberg</cop><pub>Springer Berlin Heidelberg</pub><doi>10.1007/s00466-018-1658-6</doi><tpages>28</tpages></addata></record> |
| fulltext | fulltext |
| identifier | ISSN: 0178-7675 |
| ispartof | Computational mechanics, 2019-07, Vol.64 (1), p.85-112 |
| issn | 0178-7675 1432-0924 |
| language | eng |
| recordid | cdi_proquest_journals_2241511172 |
| source | SpringerLink Journals - AutoHoldings |
| subjects | Classical and Continuum Physics Compressibility Computational Science and Engineering Contact stresses Deformation Engineering Interpolation Isotropic material Mapping Mortars (material) Original Paper Splines Theoretical and Applied Mechanics |
| title | High-order mortar-based contact element using NURBS for the mapping of contact curved surfaces |
| url | https://sfx.bib-bvb.de/sfx_tum?ctx_ver=Z39.88-2004&ctx_enc=info:ofi/enc:UTF-8&ctx_tim=2024-12-30T22%3A50%3A33IST&url_ver=Z39.88-2004&url_ctx_fmt=infofi/fmt:kev:mtx:ctx&rfr_id=info:sid/primo.exlibrisgroup.com:primo3-Article-gale_proqu&rft_val_fmt=info:ofi/fmt:kev:mtx:journal&rft.genre=article&rft.atitle=High-order%20mortar-based%20contact%20element%20using%20NURBS%20for%20the%20mapping%20of%20contact%20curved%20surfaces&rft.jtitle=Computational%20mechanics&rft.au=Dias,%20A.%20P.%20C.&rft.date=2019-07-01&rft.volume=64&rft.issue=1&rft.spage=85&rft.epage=112&rft.pages=85-112&rft.issn=0178-7675&rft.eissn=1432-0924&rft_id=info:doi/10.1007/s00466-018-1658-6&rft_dat=%3Cgale_proqu%3EA589557888%3C/gale_proqu%3E%3Curl%3E%3C/url%3E&disable_directlink=true&sfx.directlink=off&sfx.report_link=0&rft_id=info:oai/&rft_pqid=2241511172&rft_id=info:pmid/&rft_galeid=A589557888&rfr_iscdi=true |