Mixed finite element solutions to contact problems of nonlinear Gao beam on elastic foundation

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dc.contributor.authorGao, David
dc.contributor.authorMachalova, J
dc.contributor.authorNetuka, H
dc.date.accessioned2016-02-24T22:41:34Z
dc.date.issued2015
dc.date.updated2016-02-24T10:13:07Z
dc.description.abstractThis paper analyzes nonlinear contact problems of a large deformed beam on an elastic foundation. The beam model is governed by a nonlinear fourth-order differential equation developed by Gao (1996); while the elastic foundation model is assumed as Winkler’s type. Based on a decomposition method, the nonlinear variational inequality problem is able to be reformed as a min–max problem of a saddle Lagrangian. Therefore, by using mixed finite element method with independent discretization–interpolations for foundation and beam elements, the nonlinear contact problem in continuous space is eventually converted as a nonlinear mixed complementarity problem, which can be solved by combination of interior-point and Newton methods. Applications are illustrated by different boundary conditions. Results show that the nonlinear Gao beam is more stiffer than the Euler–Bernoulli beam.
dc.identifier.issn1468-1218
dc.identifier.urihttp://hdl.handle.net/1885/98736
dc.publisherElsevier BV
dc.sourceNonlinear Analysis: Real World Applications
dc.titleMixed finite element solutions to contact problems of nonlinear Gao beam on elastic foundation
dc.typeJournal article
local.bibliographicCitation.issue2015
local.bibliographicCitation.lastpage550
local.bibliographicCitation.startpage537
local.contributor.affiliationGao, David, College of Engineering and Computer Science, ANU
local.contributor.affiliationMachalova, J, Palacky University
local.contributor.affiliationNetuka, H, Palacky University
local.contributor.authoremailrepository.admin@anu.edu.au
local.contributor.authoruidGao, David, u5289994
local.description.embargo2037-12-31
local.description.notesImported from ARIES
local.identifier.absfor010200 - APPLIED MATHEMATICS
local.identifier.absfor080200 - COMPUTATION THEORY AND MATHEMATICS
local.identifier.absfor091300 - MECHANICAL ENGINEERING
local.identifier.ariespublicationU3488905xPUB7406
local.identifier.citationvolume22
local.identifier.doi10.1016/j.nonrwa.2014.09.012
local.identifier.scopusID2-s2.0-84918840410
local.identifier.uidSubmittedByU3488905
local.type.statusPublished Version

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