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Please use this identifier to cite or link to this item: https://doi.org/10.1016/j.enganabound.2014.02.003
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dc.titleSolution bound and nearly exact solution to nonlinear solid mechanics problems based on the smoothed FEM concept
dc.contributor.authorZhang, Z.-Q.
dc.contributor.authorLiu, G.R.
dc.date.accessioned2014-12-02T08:39:14Z
dc.date.available2014-12-02T08:39:14Z
dc.date.issued2014
dc.identifier.citationZhang, Z.-Q., Liu, G.R. (2014). Solution bound and nearly exact solution to nonlinear solid mechanics problems based on the smoothed FEM concept. Engineering Analysis with Boundary Elements 42 : 99-114. ScholarBank@NUS Repository. https://doi.org/10.1016/j.enganabound.2014.02.003
dc.identifier.issn09557997
dc.identifier.urihttp://scholarbank.nus.edu.sg/handle/10635/114651
dc.description.abstractNode-based and edge-based smoothed FEM (NS-FEM and ES-FEM), and α-FEM are extended to solve nonlinear problems. The nonlinear strain field is smoothed using the gradient smoothing. The continuous scalar scaling factor α enables the α-FEM continuously transforming from overestimated model to underestimated model. Numerical examples reveal that ES-FEM is a robust and stable method with high accuracy and computational efficiency for nonlinear problems. The exact solution in strain energy of force driven problems can be bounded by NS-FEM and FEM. The α-FEM can also be "tuned" to find nearly exact solution to nonlinear mechanics problems of solids of complicated geometry. © 2014 Elsevier Ltd. All rights reserved.
dc.description.urihttp://libproxy1.nus.edu.sg/login?url=http://dx.doi.org/10.1016/j.enganabound.2014.02.003
dc.sourceScopus
dc.subjectExact solution
dc.subjectNonlinearity
dc.subjectSmoothed finite element method (SFEM)
dc.subjectSolution bound
dc.subjectStrain smoothing
dc.typeArticle
dc.contributor.departmentSINGAPORE-MIT ALLIANCE
dc.description.doi10.1016/j.enganabound.2014.02.003
dc.description.sourcetitleEngineering Analysis with Boundary Elements
dc.description.volume42
dc.description.page99-114
dc.description.codenEABAE
dc.identifier.isiut000336477600014
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