The generalized Kelvin chain-based model for an orthotropic viscoelastic material

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dc.contributor.authorTrcala, Miroslavcs
dc.contributor.authorSuchomelová, Pavlínacs
dc.contributor.authorBošanský, Michalcs
dc.contributor.authorHokeš, Filipcs
dc.contributor.authorNěmec, Ivancs
dc.coverage.issue3cs
dc.coverage.volume28cs
dc.date.accessioned2025-06-19T07:58:58Z
dc.date.available2025-06-19T07:58:58Z
dc.date.issued2024-03-01cs
dc.description.abstractWe propose a constitutive material model to describe the rheological (viscoelastic) mechanical response of timber. The viscoelastic model is based on the generalized Kelvin chain applied to the orthotropic material and is compared to the simple approach given by standards. The contribution of this study consists of the algorithmization of the viscoelastic material model of the material applied to the orthotropic constitutive law and implementation into the FEM solver. In the next step, the fitting of the input parameters of the Kelvin chain is described, and at least a material model benchmark and comparison to the approach given by standards were done. The standardized approach is based on the reduction of the material rigidity at the end of the loading period using a creep coefficient, whereas the loading history state variables are not considered when establishing the result for a specific time step. The paper presents the benefits of the rheological model. It also demonstrates the fitting algorithm based on particle swarm optimization and the least squares method, which are essential for the use of the generalized Kelvin chain model. The material model based on the orthotropic generalized Kelvin chain was implemented into the FEM solver for the shell elements. This material model was validated on the presented benchmark tasks, and the influence of the time step size on the accuracy of model results was analyzed.en
dc.formattextcs
dc.format.extent1639-1659cs
dc.format.mimetypeapplication/pdfcs
dc.identifier.citationMECHANICS OF TIME-DEPENDENT MATERIALS. 2024, vol. 28, issue 3, p. 1639-1659.en
dc.identifier.doi10.1007/s11043-024-09678-4cs
dc.identifier.issn1573-2738cs
dc.identifier.orcid0000-0002-8959-7397cs
dc.identifier.orcid0000-0001-6854-0562cs
dc.identifier.orcid0000-0002-8358-5002cs
dc.identifier.other189794cs
dc.identifier.researcheridE-3687-2014cs
dc.identifier.researcheridAAD-6172-2019cs
dc.identifier.scopus55209951500cs
dc.identifier.scopus56352285500cs
dc.identifier.urihttps://hdl.handle.net/11012/254259
dc.language.isoencs
dc.publisherSPRINGERcs
dc.relation.ispartofMECHANICS OF TIME-DEPENDENT MATERIALScs
dc.relation.urihttps://link.springer.com/article/10.1007/s11043-024-09678-4cs
dc.rightsCreative Commons Attribution 4.0 Internationalcs
dc.rights.accessopenAccesscs
dc.rights.sherpahttp://www.sherpa.ac.uk/romeo/issn/1573-2738/cs
dc.rights.urihttp://creativecommons.org/licenses/by/4.0/cs
dc.subjectWood time-dependent behavioren
dc.subjectViscoelasticityen
dc.subjectNumerical simulationen
dc.subjectWood rheologyen
dc.titleThe generalized Kelvin chain-based model for an orthotropic viscoelastic materialen
dc.type.driverarticleen
dc.type.statusPeer-revieweden
dc.type.versionpublishedVersionen
sync.item.dbidVAV-189794en
sync.item.dbtypeVAVen
sync.item.insts2025.06.19 09:58:58en
sync.item.modts2025.06.19 09:33:49en
thesis.grantorVysoké učení technické v Brně. Fakulta stavební. Ústav matematiky a deskriptivní geometriecs
thesis.grantorVysoké učení technické v Brně. Fakulta stavební. Ústav stavební mechanikycs
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