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Deformations and stresses of multilayered plates with embedded functionally graded material layers using a layerwise mixed model

dc.contributor.authorMoleiro, F.
dc.contributor.authorM. Franco Correia, V.
dc.contributor.authorAraújo, A.L.
dc.contributor.authorMota Soares, C.M.
dc.contributor.authorFerreira, A.J.M.
dc.contributor.authorReddy, J.N.
dc.date.accessioned2025-03-25T15:21:32Z
dc.date.available2025-03-25T15:21:32Z
dc.date.issued2019
dc.description.abstractThis work presents a new layerwise mixed model for the static analysis of multilayered plates with embedded functionally graded material (FGM) layers subjected to transverse mechanical loads. This model is capable to fully describe a two-constituent metal-ceramic FGM layer continuous variation of material properties in the thickness direction, using any given homogenization method to estimate its effective properties. The present model is based on a mixed least-squares formulation with a layerwise variable description for displacements, transverse stresses and in-plane strains, chosen as independent variables. This mixed formulation ensures that the interlaminar continuity requirements at the layers interfaces, where the material properties actually change, are fully fulfilled a priori for all independent variables. The order of the in-plane two-dimensional finite element approximations and the order of the z-expansion through each layer thickness, as well as the number of layers, whether FGM layers or not, are considered free parameters. The full description of the FGM effective properties is achieved by applying to the z-continuous elastic coefficients a z-expansion through the layer thickness of a given order, set as an added free parameter, in a similar approach to finite element approximations. The numerical results consider both single-layer and multilayered functionally graded plates with different side-to-thickness ratios, using either Mori-Tanaka or the rule of mixtures estimates for the FGM effective properties with different material gradation profiles. The present model results are assessed by comparison with three-dimensional (3D) exact solutions and closed form solutions, which demonstrate its capability to predict a highly accurate quasi-3D description of the displacements and stresses distributions altogether.pt_PT
dc.description.versioninfo:eu-repo/semantics/publishedVersionpt_PT
dc.identifier.citationMoleiro, F., Correia, V. F., Araújo, A. L., Soares, C. M., Ferreira, A. J. M., & Reddy, J. N. (2019). Deformations and stresses of multilayered plates with embedded functionally graded material layers using a layerwise mixed model. Composites part B: engineering, 156, 274-291
dc.identifier.doihttps://doi.org/10.1016/j.compositesb.2018.08.095pt_PT
dc.identifier.urihttp://hdl.handle.net/10400.26/57427
dc.language.isoengpt_PT
dc.peerreviewedyes
dc.publisherElsevierpt_PT
dc.rights.urihttp://creativecommons.org/licenses/by-nc-nd/4.0/
dc.subjectLayered structurespt_PT
dc.subjectElasticitypt_PT
dc.subjectMechanical propertiespt_PT
dc.subjectComputational modellingpt_PT
dc.subjectFunctionally graded materialspt_PT
dc.titleDeformations and stresses of multilayered plates with embedded functionally graded material layers using a layerwise mixed modelpt_PT
dc.typejournal article
dspace.entity.typePublication
oaire.citation.endPage291pt_PT
oaire.citation.startPage274pt_PT
oaire.citation.titleComposites Part Bpt_PT
oaire.citation.volume156pt_PT
oaire.versionhttp://purl.org/coar/version/c_970fb48d4fbd8a85
rcaap.rightsclosedAccesspt_PT
rcaap.typearticlept_PT

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