Takizawa, KenjiTezduyar, Tayfun E.Sasaki, Takafumi2018-11-092018-11-092018Takizawa, 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.https://hdl.handle.net/1911/103302We 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.engThis 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.Journal articleKirchhoff–Love shell theoryIsogeometric discretizationHyperelastic materialOut-of-plane deformation mappingNeo-Hookean material modelFung’s material modelArteryTakizawa2018https://doi.org/10.1007/s00466-018-1616-3