Moment-Membrane model of a plate as a continual model of graphene deformations and a finite element method for its calculation
In this work the moment-membrane theory of elastic thin shells from the point of view of a variation interpretation is presented; the variational principles of Hu-Washizu, Lagrange and Castigliano types are established. Further, the moment-membrane theory of elastic thin plates is presented: a model...
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| description | In this work the moment-membrane theory of elastic thin shells from the point of view of a variation interpretation is presented; the variational principles of Hu-Washizu, Lagrange and Castigliano types are established. Further, the moment-membrane theory of elastic thin plates is presented: a model of a plane stress state and a model of bending deformation, as deformation continuum models of graphene, respectively, for deformations in its plane and bending deformations from its plane. For numerical studies of these models, on the basis of the variational principle of Lagrange type, variants of the application of the finite element method are developed. |
| doi_str_mv | 10.1063/5.0073269 |
| format | Conference Proceeding |
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Further, the moment-membrane theory of elastic thin plates is presented: a model of a plane stress state and a model of bending deformation, as deformation continuum models of graphene, respectively, for deformations in its plane and bending deformations from its plane. For numerical studies of these models, on the basis of the variational principle of Lagrange type, variants of the application of the finite element method are developed.</description><identifier>ISSN: 0094-243X</identifier><identifier>EISSN: 1551-7616</identifier><identifier>DOI: 10.1063/5.0073269</identifier><identifier>CODEN: APCPCS</identifier><language>eng</language><publisher>Melville: American Institute of Physics</publisher><subject>Bending ; Castigliano variational theorem ; Continuum modeling ; Deformation ; Finite element analysis ; Finite element method ; Graphene ; Mathematical analysis ; Membranes ; Plane stress ; Structural analysis ; Thin plates ; Thin walled shells ; Variational principles</subject><ispartof>AIP conference proceedings, 2021, Vol.2448 (1)</ispartof><rights>Author(s)</rights><rights>2021 Author(s). 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Further, the moment-membrane theory of elastic thin plates is presented: a model of a plane stress state and a model of bending deformation, as deformation continuum models of graphene, respectively, for deformations in its plane and bending deformations from its plane. For numerical studies of these models, on the basis of the variational principle of Lagrange type, variants of the application of the finite element method are developed.</description><subject>Bending</subject><subject>Castigliano variational theorem</subject><subject>Continuum modeling</subject><subject>Deformation</subject><subject>Finite element analysis</subject><subject>Finite element method</subject><subject>Graphene</subject><subject>Mathematical analysis</subject><subject>Membranes</subject><subject>Plane stress</subject><subject>Structural analysis</subject><subject>Thin plates</subject><subject>Thin walled shells</subject><subject>Variational principles</subject><issn>0094-243X</issn><issn>1551-7616</issn><fulltext>true</fulltext><rsrctype>conference_proceeding</rsrctype><creationdate>2021</creationdate><recordtype>conference_proceeding</recordtype><recordid>eNpFkM1LxDAQxYMouK4e_A8C3oSuk4-m6VEWv2AXLwreSpJO3S5tUtvswYt_u1l3wdMMzO-9eTxCrhksGChxly8ACsFVeUJmLM9ZViimTskMoJQZl-LjnFxM0xaAl0WhZ-RnHXr0MVtjb0fjkfahxo6Ghho6dCYiNVNaXfCx9TvT_d8_RzNsMClqbMLYm9gGn1BfJ7xpfZuk2OHenPYYN6GmCaNtnKgzndt1f4JLctaYbsKr45yT98eHt-Vztnp9elner7KBKV1mJa9d3UitubQNKg4laGel4MIUmkNeaAlMyEYZrsG6WqBFqzEXTlhuTSnm5ObgO4zha4dTrLZhN_r0suIKCpDJIE_U7YGaXBv_8lXD2PZm_K4YVPt-q7w69it-Ae6ZbZE</recordid><startdate>20211206</startdate><enddate>20211206</enddate><creator>Sargsyan, Samvel H.</creator><general>American Institute of Physics</general><scope>8FD</scope><scope>H8D</scope><scope>L7M</scope></search><sort><creationdate>20211206</creationdate><title>Moment-Membrane model of a plate as a continual model of graphene deformations and a finite element method for its calculation</title><author>Sargsyan, Samvel H.</author></sort><facets><frbrtype>5</frbrtype><frbrgroupid>cdi_FETCH-LOGICAL-p1689-92dcdf48824bfe620908cb4323a782057840134f6a280bcd3ebeb8e53c3b2ba93</frbrgroupid><rsrctype>conference_proceedings</rsrctype><prefilter>conference_proceedings</prefilter><language>eng</language><creationdate>2021</creationdate><topic>Bending</topic><topic>Castigliano variational theorem</topic><topic>Continuum modeling</topic><topic>Deformation</topic><topic>Finite element analysis</topic><topic>Finite element method</topic><topic>Graphene</topic><topic>Mathematical analysis</topic><topic>Membranes</topic><topic>Plane stress</topic><topic>Structural analysis</topic><topic>Thin plates</topic><topic>Thin walled shells</topic><topic>Variational principles</topic><toplevel>peer_reviewed</toplevel><toplevel>online_resources</toplevel><creatorcontrib>Sargsyan, Samvel H.</creatorcontrib><collection>Technology Research Database</collection><collection>Aerospace Database</collection><collection>Advanced Technologies Database with Aerospace</collection></facets><delivery><delcategory>Remote Search Resource</delcategory><fulltext>fulltext</fulltext></delivery><addata><au>Sargsyan, Samvel H.</au><au>Fomin, Vasily</au><au>Buzyurkin, Andrey</au><format>book</format><genre>proceeding</genre><ristype>CONF</ristype><atitle>Moment-Membrane model of a plate as a continual model of graphene deformations and a finite element method for its calculation</atitle><btitle>AIP conference proceedings</btitle><date>2021-12-06</date><risdate>2021</risdate><volume>2448</volume><issue>1</issue><issn>0094-243X</issn><eissn>1551-7616</eissn><coden>APCPCS</coden><abstract>In this work the moment-membrane theory of elastic thin shells from the point of view of a variation interpretation is presented; the variational principles of Hu-Washizu, Lagrange and Castigliano types are established. Further, the moment-membrane theory of elastic thin plates is presented: a model of a plane stress state and a model of bending deformation, as deformation continuum models of graphene, respectively, for deformations in its plane and bending deformations from its plane. For numerical studies of these models, on the basis of the variational principle of Lagrange type, variants of the application of the finite element method are developed.</abstract><cop>Melville</cop><pub>American Institute of Physics</pub><doi>10.1063/5.0073269</doi><tpages>13</tpages><oa>free_for_read</oa></addata></record> |
| fulltext | fulltext |
| identifier | ISSN: 0094-243X |
| ispartof | AIP conference proceedings, 2021, Vol.2448 (1) |
| issn | 0094-243X 1551-7616 |
| language | eng |
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| source | AIP Journals Complete |
| subjects | Bending Castigliano variational theorem Continuum modeling Deformation Finite element analysis Finite element method Graphene Mathematical analysis Membranes Plane stress Structural analysis Thin plates Thin walled shells Variational principles |
| title | Moment-Membrane model of a plate as a continual model of graphene deformations and a finite element method for its calculation |
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