Isogeometric hyperelastic shell analysis with out-of-plane deformation mapping

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dc.citation.journalTitleComputational Mechanicsen_US
dc.contributor.authorTakizawa, Kenjien_US
dc.contributor.authorTezduyar, Tayfun E.en_US
dc.contributor.authorSasaki, Takafumien_US
dc.date.accessioned2018-11-09T14:59:59Zen_US
dc.date.available2018-11-09T14:59:59Zen_US
dc.date.issued2018en_US
dc.description.abstractWe derive a hyperelastic shell formulation based on the Kirchhoff–Love shell theory and isogeometric discretization, where we take into account the out-of-plane deformation mapping. Accounting for that mapping affects the curvature term. It also affects the accuracy in calculating the deformed-configuration out-of-plane position, and consequently the nonlinear response of the material. In fluid–structure interaction analysis, when the fluid is inside a shell structure, the shell midsurface is what it would know. We also propose, as an alternative, shifting the “midsurface” location in the shell analysis to the inner surface, which is the surface that the fluid should really see. Furthermore, in performing the integrations over the undeformed configuration, we take into account the curvature effects, and consequently integration volume does not change as we shift the “midsurface” location. We present test computations with pressurized cylindrical and spherical shells, with Neo-Hookean and Fung’s models, for the compressible- and incompressible-material cases, and for two different locations of the “midsurface.” We also present test computation with a pressurized Y-shaped tube, intended to be a simplified artery model and serving as an example of cases with somewhat more complex geometry.en_US
dc.identifier.citationTakizawa, Kenji, Tezduyar, Tayfun E. and Sasaki, Takafumi. "Isogeometric hyperelastic shell analysis with out-of-plane deformation mapping." <i>Computational Mechanics,</i> (2018) Springer: https://doi.org/10.1007/s00466-018-1616-3.en_US
dc.identifier.digitalTakizawa2018en_US
dc.identifier.doihttps://doi.org/10.1007/s00466-018-1616-3en_US
dc.identifier.urihttps://hdl.handle.net/1911/103302en_US
dc.language.isoengen_US
dc.publisherSpringeren_US
dc.rightsThis article is distributed under the terms of the Creative Commons Attribution 4.0 International License (http://creativecommons.org/licenses/by/4.0/), which permits unrestricted use, distribution, and reproduction in any medium, provided you give appropriate credit to the original author(s) and the source, provide a link to the Creative Commons license, and indicate if changes were made.en_US
dc.rights.urihttp://creativecommons.org/licenses/by/4.0/en_US
dc.subject.keywordKirchhoff–Love shell theoryen_US
dc.subject.keywordIsogeometric discretizationen_US
dc.subject.keywordHyperelastic materialen_US
dc.subject.keywordOut-of-plane deformation mappingen_US
dc.subject.keywordNeo-Hookean material modelen_US
dc.subject.keywordFung’s material modelen_US
dc.subject.keywordArteryen_US
dc.titleIsogeometric hyperelastic shell analysis with out-of-plane deformation mappingen_US
dc.typeJournal articleen_US
dc.type.dcmiTexten_US
dc.type.publicationpublisher versionen_US
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