A modification of Holzapfel-Ogden hyperelastic model of myocardium better describing its passive mechanical behavior

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dc.contributor.authorVaverka, Jiřícs
dc.contributor.authorBurša, Jiřícs
dc.coverage.issueMAY-JUNcs
dc.coverage.volume111cs
dc.date.accessioned2025-02-28T13:53:58Z
dc.date.available2025-02-28T13:53:58Z
dc.date.issued2025-02-21cs
dc.description.abstractThe passive mechanical behavior of the myocardium is usually mathematically described within the framework of hyperelasticity. One of the most popular models of this kind is that proposed by Holzapfel and Ogden in 2009. It is an orthotropic model formulated in terms of a reasonably selected set of scalar invariants representing different components of the myocardium. Several modifications of the model have emerged over the years. In this paper, we present another one which is characterized by an innovative approach to the modeling of myocardial "sheets", i.e. lamellar collagenous structures that endow the myocardium with orthotropic mechanical properties. We describe their contribution by means of a less common scalar invariant which expresses the change of area of an oriented planar element (representing the plane of a sheet). To compare our formulation with the original model, we matched both of them to the biaxial tension and simple shear experimental data from the literature using a nonlinear least-squares optimization algorithm. The objective function for each model included both biaxial and simple shear data in order to obtain a single set of parameters for both deformation modes. The results show that our modified model can accurately describe both types of tests. The total residual is lowered by approximately 80% by our modification and R2 increases from 0.877 to 0.978 which demonstrates the significance of our modification on the quality of the fit.en
dc.formattextcs
dc.format.extent11cs
dc.format.mimetypeapplication/pdfcs
dc.identifier.citationEUROPEAN JOURNAL OF MECHANICS A-SOLIDS. 2025, vol. 111, issue MAY-JUN, 11 p.en
dc.identifier.doi10.1016/j.euromechsol.2025.105586cs
dc.identifier.issn0997-7538cs
dc.identifier.orcid0000-0001-7044-1774cs
dc.identifier.orcid0000-0002-2960-185Xcs
dc.identifier.other197165cs
dc.identifier.researcheridH-7463-2016cs
dc.identifier.scopus6602676789cs
dc.identifier.urihttps://hdl.handle.net/11012/250087
dc.language.isoencs
dc.publisherELSEVIERcs
dc.relation.ispartofEUROPEAN JOURNAL OF MECHANICS A-SOLIDScs
dc.relation.urihttps://www.sciencedirect.com/science/article/pii/S0997753825000208cs
dc.rightsCreative Commons Attribution 4.0 Internationalcs
dc.rights.accessopenAccesscs
dc.rights.sherpahttp://www.sherpa.ac.uk/romeo/issn/0997-7538/cs
dc.rights.urihttp://creativecommons.org/licenses/by/4.0/cs
dc.subjectCardiac mechanicsen
dc.subjectMyocardiumen
dc.subjectHyperelasticityen
dc.subjectConstitutive modelen
dc.subjectOrthotropyen
dc.titleA modification of Holzapfel-Ogden hyperelastic model of myocardium better describing its passive mechanical behavioren
dc.type.driverarticleen
dc.type.statusPeer-revieweden
dc.type.versionpublishedVersionen
sync.item.dbidVAV-197165en
sync.item.dbtypeVAVen
sync.item.insts2025.02.28 14:53:58en
sync.item.modts2025.02.28 10:32:11en
thesis.grantorVysoké učení technické v Brně. Fakulta strojního inženýrství. Ústav mechaniky těles, mechatroniky a biomechanikycs
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