Abstract
In the structural analysis of thin elastic structures using standard FEMs within the poor approximation space, the numerical results may suffer from the quality deterioration called the locking phenomenon. This situation becomes more crucial for the structures with non-vanishing curvatures, such as arch- and shell-like bodies, owing to the additional membrane constraints. In addition, the choice of unsuitable shear correction factor (SCF), in dimen-sionally-reduced first-order analysis models, may become an additional source for the quality deterioration. In this context, we here propose a locking-free robust finite element approximation for the robust structural analysis of shell-like structures, by improving the degenerated 8-node shell element. In order to completely overcome the quality deterioration according to the thickness reduction, we combine the reduced integration (RI) and the modified shear correction factor.
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Acknowledgements
This work was supported by 2020 Hongik University Research Fund. This research was supported by Basic Science Research Program through the National Research Foundation of Korea (NRF) funded by the Ministry of Education (Grant No. NRF-2020R1A2C1100924).
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Jin-Rae Cho received his B.S. degree in Aeronautical Engineering from Seoul National University in 1983. He then received his M.S. and Ph.D. degrees from The University of Texas at Austin in 1993 and 1995, respectively. He is currently a Professor at the Department of Naval Architecture and Ocean Engineering in Hongik University. His major research field is the computational mechanics in solid/structural mechanics, ocean engineering and materials science.
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Lee, HW., Cho, JR. & Kim, DY. Locking-free robust finite element approximation of thin shell-like structures. J Mech Sci Technol 34, 3701–3708 (2020). https://doi.org/10.1007/s12206-020-0822-z
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DOI: https://doi.org/10.1007/s12206-020-0822-z