A variational principle for dynamic contact with large deformation
Dynamic contact between a deformable body with either large or small deformation and a rigid obstacle can be modeled with Signorini contact condition stated in terms of the normal component of the displacement – as long as the relative positions are clearly defined. The geometrical relation, however...
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| Veröffentlicht in: | Computer methods in applied mechanics and engineering 2009-05, Vol.198 (21), p.2009-2015 |
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| container_title | Computer methods in applied mechanics and engineering |
| container_volume | 198 |
| creator | Wu, Shen R. |
| description | Dynamic contact between a deformable body with either large or small deformation and a rigid obstacle can be modeled with Signorini contact condition stated in terms of the normal component of the displacement – as long as the relative positions are clearly defined. The geometrical relation, however, is unpredictable when large motion or large deformation and complex surface geometry are involved. The use of normal velocity is more suitable. A variational inequality is proposed for the dynamic contact problem. The penalty method is introduced and implemented in explicit finite element software. Numerical examples are presented to demonstrate the robustness of the algorithm. |
| doi_str_mv | 10.1016/j.cma.2008.12.013 |
| format | Article |
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The geometrical relation, however, is unpredictable when large motion or large deformation and complex surface geometry are involved. The use of normal velocity is more suitable. A variational inequality is proposed for the dynamic contact problem. The penalty method is introduced and implemented in explicit finite element software. Numerical examples are presented to demonstrate the robustness of the algorithm.</description><identifier>ISSN: 0045-7825</identifier><identifier>EISSN: 1879-2138</identifier><identifier>DOI: 10.1016/j.cma.2008.12.013</identifier><language>eng</language><publisher>Elsevier B.V</publisher><subject>Dynamic contact ; Explicit finite element ; Large deformation ; Penalty method ; Variational inequality</subject><ispartof>Computer methods in applied mechanics and engineering, 2009-05, Vol.198 (21), p.2009-2015</ispartof><rights>2009 Elsevier B.V.</rights><lds50>peer_reviewed</lds50><woscitedreferencessubscribed>false</woscitedreferencessubscribed><citedby>FETCH-LOGICAL-c391t-dcdc9a857f21b6b6c689132e5bb440974798c4442d89c9adf2b25da95f3aa80d3</citedby><cites>FETCH-LOGICAL-c391t-dcdc9a857f21b6b6c689132e5bb440974798c4442d89c9adf2b25da95f3aa80d3</cites></display><links><openurl>$$Topenurl_article</openurl><openurlfulltext>$$Topenurlfull_article</openurlfulltext><thumbnail>$$Tsyndetics_thumb_exl</thumbnail><linktohtml>$$Uhttps://dx.doi.org/10.1016/j.cma.2008.12.013$$EHTML$$P50$$Gelsevier$$H</linktohtml><link.rule.ids>314,780,784,3550,27924,27925,45995</link.rule.ids></links><search><creatorcontrib>Wu, Shen R.</creatorcontrib><title>A variational principle for dynamic contact with large deformation</title><title>Computer methods in applied mechanics and engineering</title><description>Dynamic contact between a deformable body with either large or small deformation and a rigid obstacle can be modeled with Signorini contact condition stated in terms of the normal component of the displacement – as long as the relative positions are clearly defined. 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The geometrical relation, however, is unpredictable when large motion or large deformation and complex surface geometry are involved. The use of normal velocity is more suitable. A variational inequality is proposed for the dynamic contact problem. The penalty method is introduced and implemented in explicit finite element software. Numerical examples are presented to demonstrate the robustness of the algorithm.</abstract><pub>Elsevier B.V</pub><doi>10.1016/j.cma.2008.12.013</doi><tpages>7</tpages></addata></record> |
| fulltext | fulltext |
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| ispartof | Computer methods in applied mechanics and engineering, 2009-05, Vol.198 (21), p.2009-2015 |
| issn | 0045-7825 1879-2138 |
| language | eng |
| recordid | cdi_proquest_miscellaneous_903650579 |
| source | ScienceDirect Journals (5 years ago - present) |
| subjects | Dynamic contact Explicit finite element Large deformation Penalty method Variational inequality |
| title | A variational principle for dynamic contact with large deformation |
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