Locking-free robust finite element approximation of thin shell-like structures
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DOI 10.1007/s12206-020-0822-z
Journal of Mechanical Science and Technology 34 (9) 2020 Original Article DOI 10.1007/s12206-020-0822-z Keywords: · Shell-like structures · Dimensionally reduced 1st-order models · Shear and membrane locking · Degenerated 8-node shell element · Reduced integration · Modification of shear correction factor
Correspondence to: Jin-Rae Cho [email protected]
Citation: Lee, H.-W., Cho, J.-R., Kim, D.-Y. (2020). Locking-free robust finite element approximation of thin shell-like structures. Journal of Mechanical Science and Technology 34 (9) (2020) 3701~3708. http://doi.org/10.1007/s12206-020-0822-z
Received March 1st, 2020 Revised
Locking-free robust finite element approximation of thin shell-like structures Hong-Woo Lee1, Jin-Rae Cho2 and Do-Young Kim2 1
2
POSCO Technical Research Laboratories, POSCO, Jeonnam 57807, Korea, Department of Naval Architecture and Ocean Engineering, Hongik University, Sejong 30016, Korea
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 dimensionally-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 8node 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.
July 6th, 2020
Accepted July 8th, 2020 † Recommended by Editor Seungjae Min
© The Korean Society of Mechanical Engineers and Springer-Verlag GmbH Germany, part of Springer Nature 2020
1. Introduction In general, shell-like structures are characterized by curved surfaces with the thickness that is remarkably smaller than the other two dimensions. They effectively support the external loads according to the combined action of membrane and bending. Thanks to this load bearing efficiency, together with the aesthetic excellence, they have become one of major structural members that are widely used for various applications in structural engineering. Shell-like structures were used for roofs, curved dams, cooling towers and storage tanks, and recently those are actively employed in the field of aerospace, nuclear and ocean plant. Thus, this situation naturally requires more accurate and reliable analysis method for shell-like structures. The framework of theoretical study on shell-like structures was laid down in 1888 by Love [1], and thereafter its improvement and refinement have been extensively accompanied [2]. In the early days, the analytic a
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