Nonlinear finite element analysis within strain gradient elasticity: Reissner-Mindlin plate theory versus three-dimensional theory

dc.contributorAalto-yliopistofi
dc.contributorAalto Universityen
dc.contributor.authorTorabi, Jalalen_US
dc.contributor.authorNiiranen, Jarkkoen_US
dc.contributor.authorAnsari, Rezaen_US
dc.contributor.departmentDepartment of Civil Engineeringen
dc.contributor.groupauthorMineral Based Materials and Mechanicsen
dc.contributor.organizationGuilan Universityen_US
dc.date.accessioned2021-01-25T10:08:38Z
dc.date.available2021-01-25T10:08:38Z
dc.date.issued2021-05-01en_US
dc.description.abstractNonlinear plate bending within Mindlin's strain gradient elasticity theory (SGT) is investigated by employing somewhat non-standard finite element methods. The main goal is to compare the bending results provided by the geometrically nonlinear three-dimensional (3D) theory and the geometrically nonlinear Reissner–Mindlin plate theory, i.e., the first-order shear deformation plate theory (FSDT), within the SGT. For the 3D theory, the nonlinear Green–Lagrange strain relations are adopted, while the von Kármán nonlinear strains are employed for the FSDT. The matrix-vector forms of the energy functionals are derived for both models. In order to perform the corresponding finite element discretizations, a quasi-C1-continuous 4-node tetrahedral solid element and a quasi-C1-continuous 6-node triangular plate element are employed for the 3D model and plate model, respectively. The first-order derivatives of the primal problem quantities are employed as additional nodal values to respond to the continuity requirements of class C1. A variety of computational results highlighting the differences between the 3D and FSDT models are given for two different plate geometries: a rectangular plate with a circular hole and an elliptical plate.en
dc.description.versionPeer revieweden
dc.format.mimetypeapplication/pdfen_US
dc.identifier.citationTorabi, J, Niiranen, J & Ansari, R 2021, ' Nonlinear finite element analysis within strain gradient elasticity: Reissner-Mindlin plate theory versus three-dimensional theory ', European Journal of Mechanics A: Solids, vol. 87, 104221 . https://doi.org/10.1016/j.euromechsol.2021.104221en
dc.identifier.doi10.1016/j.euromechsol.2021.104221en_US
dc.identifier.issn0997-7538
dc.identifier.otherPURE UUID: 206252d4-754d-4070-ab53-eb1d1517850een_US
dc.identifier.otherPURE ITEMURL: https://research.aalto.fi/en/publications/206252d4-754d-4070-ab53-eb1d1517850een_US
dc.identifier.otherPURE LINK: http://www.scopus.com/inward/record.url?scp=85100027280&partnerID=8YFLogxKen_US
dc.identifier.otherPURE FILEURL: https://research.aalto.fi/files/61943921/1_s2.0_S0997753821000176_main.pdfen_US
dc.identifier.urihttps://aaltodoc.aalto.fi/handle/123456789/102092
dc.identifier.urnURN:NBN:fi:aalto-202101251401
dc.language.isoenen
dc.publisherGAUTHIER-VILLARS/EDITIONS ELSEVIER
dc.relation.ispartofseriesEUROPEAN JOURNAL OF MECHANICS A: SOLIDSen
dc.relation.ispartofseriesarticlenumber 104221en
dc.rightsopenAccessen
dc.subject.keywordfinite element mehoden_US
dc.subject.keywordstrain gradient theoryen_US
dc.subject.keywordnonlinear bending analysisen_US
dc.subject.keywordplatesen_US
dc.subject.keyword3D elasticityen_US
dc.subject.keywordfinite-oeder shear deformation theoryen_US
dc.titleNonlinear finite element analysis within strain gradient elasticity: Reissner-Mindlin plate theory versus three-dimensional theoryen
dc.typeA1 Alkuperäisartikkeli tieteellisessä aikakauslehdessäfi
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