A hyperelastic extended Kirchhoff–Love shell model with out-of-plane normal stress: I. Out-of-plane deformation

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dc.citation.journalTitleComputational Mechanicsen_US
dc.contributor.authorTaniguchi, Yasutoshien_US
dc.contributor.authorTakizawa, Kenjien_US
dc.contributor.authorOtoguro, Yutoen_US
dc.contributor.authorTezduyar, Tayfun E.en_US
dc.date.accessioned2022-05-25T17:37:43Zen_US
dc.date.available2022-05-25T17:37:43Zen_US
dc.date.issued2022en_US
dc.description.abstractThis is the first part of a two-part article on a hyperelastic extended Kirchhoff–Love shell model with out-of-plane normal stress. We present the derivation of the new model, with focus on the mechanics of the out-of-plane deformation. Accounting for the out-of-plane normal stress distribution in the out-of-plane direction affects the accuracy in calculating the deformed-configuration out-of-plane position, and consequently the nonlinear response of the shell. The improvement is beyond what we get from accounting for the out-of-plane deformation mapping. By accounting for the out-of-plane normal stress, the traction acting on the shell can be specified on the upper and lower surfaces separately. With that, the new model is free from the “midsurface” location in terms of specifying the traction. We also present derivations related to the variation of the kinetic energy and the form of specifying the traction and moment acting on the upper and lower surfaces and along the edges. We present test computations for unidirectional plate bending, plate saddle deformation, and pressurized cylindrical and spherical shells. We use the neo-Hookean and Fung’s material models, for the compressible- and incompressible-material cases, and with the out-of-plane normal stress and without, which is the plane-stress case.en_US
dc.identifier.citationTaniguchi, Yasutoshi, Takizawa, Kenji, Otoguro, Yuto, et al.. "A hyperelastic extended Kirchhoff–Love shell model with out-of-plane normal stress: I. Out-of-plane deformation." <i>Computational Mechanics,</i> (2022) Springer Nature: https://doi.org/10.1007/s00466-022-02166-x.en_US
dc.identifier.digitalTaniguchi2022_Article_AHyperelasticExtendedKirchhoffen_US
dc.identifier.doihttps://doi.org/10.1007/s00466-022-02166-xen_US
dc.identifier.urihttps://hdl.handle.net/1911/112416en_US
dc.language.isoengen_US
dc.publisherSpringer Natureen_US
dc.rightsThis article is licensed under a Creative Commons Attribution 4.0 International License, which permits use, sharing, adaptation, distribution and reproduction in any medium or format, as long as you give appropriate credit to the original author(s) and the source, provide a link to the Creative Commons licence, and indicate if changes were made. The images or other third party material in this article are included in the article’s Creative Commons licence, unless indicated otherwise in a credit line to the material. If material is not included in the article’s Creative Commons licence and your intended use is not permitted by statutory regulation or exceeds the permitted use, you will need to obtain permission directly from the copyright holder.en_US
dc.rights.urihttps://creativecommons.org/licenses/by/4.0/en_US
dc.titleA hyperelastic extended Kirchhoff–Love shell model with out-of-plane normal stress: I. Out-of-plane deformationen_US
dc.typeJournal articleen_US
dc.type.dcmiTexten_US
dc.type.publicationpublisher versionen_US
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