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Elastic Analysis of Three-Layer Concrete Slab Based on Numerical Homogenization with an Analytical Shear Correction Factor

cris.virtual.author-orcid#PLACEHOLDER_PARENT_METADATA_VALUE#
cris.virtual.author-orcid0000-0002-1187-9087
cris.virtual.author-orcid0000-0002-9588-2514
cris.virtualsource.author-orcid#PLACEHOLDER_PARENT_METADATA_VALUE#
cris.virtualsource.author-orcida1bcc28c-d0aa-4a91-b294-4977b1953641
cris.virtualsource.author-orcidae71bc22-fde2-40b2-878c-e07e0e5aad5a
dc.abstract.enSandwich structures are widely used in construction, as well as in the aviation, spaceship, and electronics industries. The interesting result, among others, is the fact that individual layers can be freely selected to meet the planned requirements. In the case of sandwich structures in construction, they must meet the requirements of load-bearing capacity, thermal, and acoustic insulation, and additionally, they must be resistant to biological and chemical corrosion. The paper presents calculation algorithms for Hoff’s three-layer panels. In the first case, the well-known and proven method of finite differences in variation terms was used, assuming actual geometrical and material parameters. In the second case, the numerical homogenization method of the layered panel was used, replacing the stiffnesses of individual layers with a homogeneous equivalent plate with substitute stiffness corrected in shearing by an analytically derived shear correction factor. A comparative analysis of the results of the calculations with the use of both approaches was carried out. A good agreement between the displacement values and the calculated cross-sectional forces was obtained. On this basis, it can be assumed that the static analysis of a slab by simplified methods using numerical homogenization with an analytical shear correction factor is appropriate and can be applied to layer structures.
dc.affiliationWydział Inżynierii Środowiska i Inżynierii Mechanicznej
dc.affiliation.instituteKatedra Inżynierii Biosystemów
dc.affiliation.instituteKatedra Budownictwa i Geoinżynierii
dc.contributor.authorStaszak, Natalia
dc.contributor.authorSzymczak-Graczyk, Anna Maria
dc.contributor.authorGarbowski, Tomasz
dc.date.access2026-01-26
dc.date.accessioned2026-02-06T09:51:15Z
dc.date.available2026-02-06T09:51:15Z
dc.date.copyright2022-10-01
dc.date.issued2022
dc.description.abstract<jats:p>Sandwich structures are widely used in construction, as well as in the aviation, spaceship, and electronics industries. The interesting result, among others, is the fact that individual layers can be freely selected to meet the planned requirements. In the case of sandwich structures in construction, they must meet the requirements of load-bearing capacity, thermal, and acoustic insulation, and additionally, they must be resistant to biological and chemical corrosion. The paper presents calculation algorithms for Hoff’s three-layer panels. In the first case, the well-known and proven method of finite differences in variation terms was used, assuming actual geometrical and material parameters. In the second case, the numerical homogenization method of the layered panel was used, replacing the stiffnesses of individual layers with a homogeneous equivalent plate with substitute stiffness corrected in shearing by an analytically derived shear correction factor. A comparative analysis of the results of the calculations with the use of both approaches was carried out. A good agreement between the displacement values and the calculated cross-sectional forces was obtained. On this basis, it can be assumed that the static analysis of a slab by simplified methods using numerical homogenization with an analytical shear correction factor is appropriate and can be applied to layer structures.</jats:p>
dc.description.accesstimeat_publication
dc.description.bibliographyil., bibliogr.
dc.description.financepublication_nocost
dc.description.financecost0,00
dc.description.if2,7
dc.description.number19
dc.description.points100
dc.description.versionfinal_published
dc.description.volume12
dc.identifier.doi10.3390/app12199918
dc.identifier.issn2076-3417
dc.identifier.urihttps://sciencerep.up.poznan.pl/handle/item/7193
dc.identifier.weblinkhttps://www.mdpi.com/2076-3417/12/19/9918
dc.languageen
dc.relation.ispartofApplied Sciences (Switzerland)
dc.relation.pagesart. 9918
dc.rightsCC-BY
dc.sciencecloudnosend
dc.share.typeOPEN_JOURNAL
dc.subject.ensandwich panel
dc.subject.enfinite difference method
dc.subject.ennumerical homogenization
dc.subject.enfinite element analysis
dc.titleElastic Analysis of Three-Layer Concrete Slab Based on Numerical Homogenization with an Analytical Shear Correction Factor
dc.title.volumeSpecial Issue Advances in Sustainable Construction Materials and Geotechnical Engineering
dc.typeJournalArticle
dspace.entity.typePublication
oaire.citation.issue19
oaire.citation.volume12