Abstract
This chapter concerns a nine-node quadrilateral shell element MITC9i based on the Reissner-Mindlin kinematics and Green strain, which is developed from the potential energy functional extended to include drilling rotations Wisniewski and Turska (2018). We test an alternative treatment of the transverse shear strains in this element motivated by results of the Curved cantilever test of Wisniewski and Turska (2019). In the original MITC9i element, these strains are sampled using the 2×3 and 3×2-point schemes, with all sampling points in the element’s interior. In the tested MITC9i2 element, analogous schemes are used, but 8 of the sampling points are located at the element’s boundaries. Both elements use the same MITCi transformations. Several numerical examples are provided to characterize the performance of MITC9i2 compared with two other nine-node elements MITC9i and 9-EAS11.
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Wiśniewski, K., Turska, E. (2020). On Transverse Shear Strains Treatment in Nine-Node Shell Element MITC9i. In: Altenbach, H., Chinchaladze, N., Kienzler, R., Müller, W. (eds) Analysis of Shells, Plates, and Beams. Advanced Structured Materials, vol 134. Springer, Cham. https://doi.org/10.1007/978-3-030-47491-1_23
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