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dc.contributor.authorObrezkov, Leonid
dc.contributor.authorBozorgmehri, Babak
dc.contributor.authorFinni, Taija
dc.contributor.authorMatikainen, Marko K.
dc.date.accessioned2022-08-30T07:29:47Z
dc.date.available2022-08-30T07:29:47Z
dc.date.issued2022
dc.identifier.citationObrezkov, L., Bozorgmehri, B., Finni, T., & Matikainen, M. K. (2022). Approximation of pre-twisted Achilles sub-tendons with continuum-based beam elements. <i>Applied Mathematical Modelling</i>, <i>112</i>, 669-689. <a href="https://doi.org/10.1016/j.apm.2022.08.014" target="_blank">https://doi.org/10.1016/j.apm.2022.08.014</a>
dc.identifier.otherCONVID_151793735
dc.identifier.urihttps://jyx.jyu.fi/handle/123456789/82868
dc.description.abstractAchilles sub-tendons are materially and geometrically challenging structures that can nearly undergo around 15% elongation from their pre-twisted initial states during physical activities. Sub-tendons’ cross-sectional shapes are subject-specific, varying from simple to complicated. Therefore, the Achilles sub-tendons are often described by three-dimensional elements that lead to a remarkable number of degrees of freedom. On the other hand, the continuum-based beam elements in the framework of the absolute nodal coordinate formulation have already been shown to be a reliable and efficient replacement for the three-dimensional continuum elements in some special problems. So far, that element type has been applied only to structures with a simple cross-section geometry. To computationally efficiently describe a pre-twisted Achilles sub-tendon with a complicated cross-section shape, this study will develop a continuum-based beam element based on the absolute nodal coordinate formulation with an arbitrary cross-section description. To demonstrate the applicability of the developed beam element to the Achilles sub-tendons, 16 numerical examples are considered. During these numerical tests, the implemented cross-section descriptions agreed well with the reference solutions and led to faster convergence rates in comparison with the solutions provided by commercial finite element codes. Furthermore, it is demonstrated that in the cases of very complicated cross-sectional forms, the commercial software ANSYS provides inflated values for the elongation deformation in comparison with ABAQUS (about 6.2%) and ANCF (about 9.4%). Additionally, the numerical results reveal a possibility to model the whole sub-tendons via coarse discretization with high accuracy under uniaxial loading. This demonstrates the huge potential for use in biomechanics and also in multibody applications, where the arbitrary cross-section of beam-like structures needs to be taken into account.en
dc.format.mimetypeapplication/pdf
dc.language.isoeng
dc.publisherElsevier Inc.
dc.relation.ispartofseriesApplied Mathematical Modelling
dc.rightsCC BY 4.0
dc.subject.otherabsolute nodal coordinate
dc.subject.otherarbitrary cross-section
dc.subject.otherachilles tendon
dc.subject.otherlarge strains
dc.subject.othernonlinear elasticity
dc.titleApproximation of pre-twisted Achilles sub-tendons with continuum-based beam elements
dc.typearticle
dc.identifier.urnURN:NBN:fi:jyu-202208304406
dc.contributor.laitosLiikuntatieteellinen tiedekuntafi
dc.contributor.laitosFaculty of Sport and Health Sciencesen
dc.contributor.oppiaineBiomekaniikkafi
dc.contributor.oppiaineBiomechanicsen
dc.type.urihttp://purl.org/eprint/type/JournalArticle
dc.type.coarhttp://purl.org/coar/resource_type/c_2df8fbb1
dc.description.reviewstatuspeerReviewed
dc.format.pagerange669-689
dc.relation.issn0307-904X
dc.relation.volume112
dc.type.versionpublishedVersion
dc.rights.copyright© 2022 The Author(s). Published by Elsevier Inc.
dc.rights.accesslevelopenAccessfi
dc.relation.grantnumber323168
dc.subject.ysokantajänne
dc.subject.ysokimmoisuus
dc.subject.ysobiomekaniikka
dc.subject.ysoapproksimointi
dc.subject.ysomatemaattiset mallit
dc.subject.ysojänteet
dc.format.contentfulltext
jyx.subject.urihttp://www.yso.fi/onto/yso/p18959
jyx.subject.urihttp://www.yso.fi/onto/yso/p15864
jyx.subject.urihttp://www.yso.fi/onto/yso/p20292
jyx.subject.urihttp://www.yso.fi/onto/yso/p4982
jyx.subject.urihttp://www.yso.fi/onto/yso/p11401
jyx.subject.urihttp://www.yso.fi/onto/yso/p11499
dc.rights.urlhttps://creativecommons.org/licenses/by/4.0/
dc.relation.doi10.1016/j.apm.2022.08.014
dc.relation.funderResearch Council of Finlanden
dc.relation.funderSuomen Akatemiafi
jyx.fundingprogramAcademy Project, AoFen
jyx.fundingprogramAkatemiahanke, SAfi
jyx.fundinginformationWe would like to thank the Academy of Finland (Application no. 299033 for funding of Academy Research Fellow) for the generous grant that made this work possible.
dc.type.okmA1


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