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Exact microstructure-dependent Timoshenko beam element

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dc.contributor Aalto-yliopisto fi
dc.contributor Aalto University en
dc.contributor.author Karttunen, Anssi T.
dc.contributor.author Romanoff, Jani
dc.contributor.author Reddy, J. N.
dc.date.accessioned 2017-01-19T11:04:08Z
dc.date.issued 2016-06-01
dc.identifier.citation Karttunen , A T , Romanoff , J & Reddy , J N 2016 , ' Exact microstructure-dependent Timoshenko beam element ' , International Journal of Mechanical Sciences , vol. 111-112 , pp. 35-42 . https://doi.org/10.1016/j.ijmecsci.2016.03.023 en
dc.identifier.issn 0020-7403
dc.identifier.issn 1879-2162
dc.identifier.other PURE UUID: 54f46474-eb7a-4d7e-9ed3-5915b7be8cb4
dc.identifier.other PURE ITEMURL: https://research.aalto.fi/en/publications/54f46474-eb7a-4d7e-9ed3-5915b7be8cb4
dc.identifier.other PURE LINK: http://www.scopus.com/inward/record.url?scp=84964088658&partnerID=8YFLogxK
dc.identifier.other PURE FILEURL: https://research.aalto.fi/files/7205819/11_IJMS.pdf
dc.identifier.uri https://aaltodoc.aalto.fi/handle/123456789/24223
dc.description.abstract In this study, we develop an exact microstructure-dependent Timoshenko beam finite element. First, a Timoshenko beam model based on the modified couple-stress theory is reviewed briefly. The general closed-form solution to the equilibrium equations of the beam is derived. The two-dimensional in-plane stress distributions along the beam in terms of load resultants are obtained. In addition, the general solution can be used to model any distributed load which can be expressed as a Maclaurin series. Then, the solution is presented in terms of discrete finite element (FE) degrees of freedom. This representation yields the exact shape functions for the beam element. Finally, the exact beam finite element equations are obtained by writing the generalized forces at the beam ends using the FE degrees of freedom. Three calculation examples which have applications in micron systems and sandwich structures are presented. en
dc.format.extent 8
dc.format.extent 35-42
dc.format.mimetype application/pdf
dc.language.iso en en
dc.relation.ispartofseries Volume 111-112 en
dc.rights openAccess en
dc.title Exact microstructure-dependent Timoshenko beam element en
dc.type A1 Alkuperäisartikkeli tieteellisessä aikakauslehdessä fi
dc.description.version Peer reviewed en
dc.contributor.department Department of Mechanical Engineering
dc.subject.keyword Beam finite element
dc.subject.keyword Couple-stress
dc.subject.keyword General solution
dc.subject.keyword Microstructure
dc.subject.keyword Timoshenko beam
dc.identifier.urn URN:NBN:fi:aalto-201701191168
dc.identifier.doi 10.1016/j.ijmecsci.2016.03.023
dc.date.embargo info:eu-repo/date/embargoEnd/2018-07-01

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