A finite element tensor approach to plate buckling and postbuckling
A practical finite element method is presented for geometrically non‐linear (von Kármán) plate problems. Symmetric strain energy tensors provide an efficient formulation and solution, and allow the effects of initial imperfections to be considered. An unbalanced force iteration is employed, with the...
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| Veröffentlicht in: | International journal for numerical methods in engineering 1973-01, Vol.5 (3), p.351-365 |
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| container_end_page | 365 |
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| container_issue | 3 |
| container_start_page | 351 |
| container_title | International journal for numerical methods in engineering |
| container_volume | 5 |
| creator | Vos, Robert G. Vann, William P. |
| description | A practical finite element method is presented for geometrically non‐linear (von Kármán) plate problems. Symmetric strain energy tensors provide an efficient formulation and solution, and allow the effects of initial imperfections to be considered. An unbalanced force iteration is employed, with the advantage that the time consuming Gauss decomposition needs to be performed only once. The convergence is controlled by an automatically computed relaxation factor, and this makes the method applicable in advanced stage of non‐linearity.
Several different triangular elements are used in explicitly the required tensors. Buckling and post‐buckling solutions are outlined and demonstrated by numerical examples. |
| doi_str_mv | 10.1002/nme.1620050306 |
| format | Article |
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Several different triangular elements are used in explicitly the required tensors. Buckling and post‐buckling solutions are outlined and demonstrated by numerical examples.</description><issn>0029-5981</issn><issn>1097-0207</issn><fulltext>true</fulltext><rsrctype>article</rsrctype><creationdate>1973</creationdate><recordtype>article</recordtype><recordid>eNqFkDtPwzAURi0EEqWwMntiS_GjTuKxqkoLtIUBBJvl2DcQmhexK-i_xyg8xMR0patzvnv1IXRKyYgSws7rCkY0ZoQIwkm8hwaUyCQijCT7aBAAGQmZ0kN05NwLIZQGbICmE5wXdeEBQwkV1B57qF3TYd22XaPNM_YNbksdgGxrNmVRP2FdW9w2zn8vjtFBrksHJ19ziO4vZnfTRbS8mV9OJ8vIcC7jyKbChrOGUU1zQxIwMh1zzfhYAMkyIRmHdGxFolkqaWYh41ZoIam1OqOa8yE663PDZ69bcF5VhTNQlrqGZusUoyEi5XEARz1ousa5DnLVdkWlu52iRH12pUJX6rerIMheeCtK2P1Dq_Vq9seNerdwHt5_XN1tVJzwRKiH9VzRx9X11SK-VYx_AAlufFs</recordid><startdate>197301</startdate><enddate>197301</enddate><creator>Vos, Robert G.</creator><creator>Vann, William P.</creator><general>John Wiley & Sons, Ltd</general><scope>BSCLL</scope><scope>AAYXX</scope><scope>CITATION</scope><scope>8FD</scope><scope>H8D</scope><scope>L7M</scope></search><sort><creationdate>197301</creationdate><title>A finite element tensor approach to plate buckling and postbuckling</title><author>Vos, Robert G. ; Vann, William P.</author></sort><facets><frbrtype>5</frbrtype><frbrgroupid>cdi_FETCH-LOGICAL-c3396-d85d011c21a1fc07ec9843a2345e0bb5923e84d57a2891bdeb3d5a591ddab1a33</frbrgroupid><rsrctype>articles</rsrctype><prefilter>articles</prefilter><language>eng</language><creationdate>1973</creationdate><toplevel>peer_reviewed</toplevel><toplevel>online_resources</toplevel><creatorcontrib>Vos, Robert G.</creatorcontrib><creatorcontrib>Vann, William P.</creatorcontrib><collection>Istex</collection><collection>CrossRef</collection><collection>Technology Research Database</collection><collection>Aerospace Database</collection><collection>Advanced Technologies Database with Aerospace</collection><jtitle>International journal for numerical methods in engineering</jtitle></facets><delivery><delcategory>Remote Search Resource</delcategory><fulltext>fulltext</fulltext></delivery><addata><au>Vos, Robert G.</au><au>Vann, William P.</au><format>journal</format><genre>article</genre><ristype>JOUR</ristype><atitle>A finite element tensor approach to plate buckling and postbuckling</atitle><jtitle>International journal for numerical methods in engineering</jtitle><addtitle>Int. J. Numer. Meth. Engng</addtitle><date>1973-01</date><risdate>1973</risdate><volume>5</volume><issue>3</issue><spage>351</spage><epage>365</epage><pages>351-365</pages><issn>0029-5981</issn><eissn>1097-0207</eissn><abstract>A practical finite element method is presented for geometrically non‐linear (von Kármán) plate problems. Symmetric strain energy tensors provide an efficient formulation and solution, and allow the effects of initial imperfections to be considered. An unbalanced force iteration is employed, with the advantage that the time consuming Gauss decomposition needs to be performed only once. The convergence is controlled by an automatically computed relaxation factor, and this makes the method applicable in advanced stage of non‐linearity.
Several different triangular elements are used in explicitly the required tensors. Buckling and post‐buckling solutions are outlined and demonstrated by numerical examples.</abstract><cop>New York</cop><pub>John Wiley & Sons, Ltd</pub><doi>10.1002/nme.1620050306</doi><tpages>15</tpages></addata></record> |
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| ispartof | International journal for numerical methods in engineering, 1973-01, Vol.5 (3), p.351-365 |
| issn | 0029-5981 1097-0207 |
| language | eng |
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| source | Wiley Online Library All Journals |
| title | A finite element tensor approach to plate buckling and postbuckling |
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