Exact elasticity-based finite element for circular plates

dc.contributorAalto-yliopistofi
dc.contributorAalto Universityen
dc.contributor.authorKarttunen, Anssien_US
dc.contributor.authorvon Hertzen, Raimoen_US
dc.contributor.authorReddy, Junthulaen_US
dc.contributor.authorRomanoff, Janien_US
dc.contributor.departmentDepartment of Mechanical Engineeringen
dc.contributor.groupauthorMarine Technologyen
dc.contributor.groupauthorSolid Mechanicsen
dc.date.accessioned2020-01-02T14:14:15Z
dc.date.available2020-01-02T14:14:15Z
dc.date.embargoinfo:eu-repo/date/embargoEnd/2019-12-31en_US
dc.date.issued2017en_US
dc.description.abstractIn this paper, a general elasticity solution for the axisymmetric bending of a linearly elastic annular plate is used to derive an exact finite element for such a plate. We start by formulating an interior plate problem by employing Saint Venant’s principle so that edge effects do not appear in the plate. Then the elasticity solution to the formulated interior problem is presented in terms of mid-surface variables so that it takes a form similar to conventional engineering plate theories. By using the mid-surface variables, the exact finite element is developed both by force- and energy-based approaches. The central, nonstandard feature of the interior solution, and the finite element based on it, is that the interior stresses of the plate act as surface tractions on the plate edges and contribute to the total potential energy of the plate. Finally, analytical and numerical examples are presented using the elasticity solution and the derived finite element.en
dc.description.versionPeer revieweden
dc.format.extent219-226
dc.format.mimetypeapplication/pdfen_US
dc.identifier.citationKarttunen, A, von Hertzen, R, Reddy, J & Romanoff, J 2017, ' Exact elasticity-based finite element for circular plates ', Computers and Structures, vol. 182, pp. 219-226 . https://doi.org/10.1016/j.compstruc.2016.11.013en
dc.identifier.doi10.1016/j.compstruc.2016.11.013en_US
dc.identifier.issn0045-7949
dc.identifier.otherPURE UUID: fc75e74a-7a30-498d-8c7c-7882000a563den_US
dc.identifier.otherPURE ITEMURL: https://research.aalto.fi/en/publications/fc75e74a-7a30-498d-8c7c-7882000a563den_US
dc.identifier.otherPURE FILEURL: https://research.aalto.fi/files/39749155/ENG_Karttunen_et_al_Exact_elasticity_based_Computers_and_Structures.pdfen_US
dc.identifier.urihttps://aaltodoc.aalto.fi/handle/123456789/42315
dc.identifier.urnURN:NBN:fi:aalto-202001021426
dc.language.isoenen
dc.publisherElsevier Limited
dc.relation.ispartofseriesComputers and Structuresen
dc.relation.ispartofseriesVolume 182en
dc.rightsopenAccessen
dc.titleExact elasticity-based finite element for circular platesen
dc.typeA1 Alkuperäisartikkeli tieteellisessä aikakauslehdessäfi
dc.type.versionacceptedVersion
Files