Post-buckling analysis of shell-like structures using an implicit dynamic time integration scheme
Multidiscipline Modeling in Materials and Structures
ISSN: 1573-6105
Article publication date: 28 November 2022
Issue publication date: 2 January 2023
Abstract
Purpose
This paper aims to investigate post-buckling responses of shell-like structures using an implicit conservative-decaying time integration dynamic scheme.
Design/methodology/approach
In this work, the authors have proposed the use of a four-node quadrilateral flat shell finite element with drilling rotational degree of freedom within the framework of an updated Lagrangian formulation mutually with an implicit conservative-dissipative time integration dynamic scheme.
Findings
Several numerical simulations were considered to evaluate the accuracy, robustness, stability and the capacity of the considered time integration scheme to dissipate numerical noise in the presence of high frequencies. The obtained results illustrate a very satisfying performance of the implicit conservative-dissipative direct time integration scheme conjointly with the quadrilateral flat shell finite element with drilling rotation.
Originality/value
The authors have investigated the potential of the implicit dynamic scheme to deal with unstable branches after limit points in the non-linear post-buckling response of shell structures with no need for structural damping. The capability of the studied algorithm to study buckling and post-buckling behaviour of thin shell structures is illustrated through several numerical examples.
Keywords
Citation
Boutagouga, D. and Mamouri, S. (2023), "Post-buckling analysis of shell-like structures using an implicit dynamic time integration scheme", Multidiscipline Modeling in Materials and Structures, Vol. 19 No. 1, pp. 38-53. https://doi.org/10.1108/MMMS-07-2022-0128
Publisher
:Emerald Publishing Limited
Copyright © 2022, Emerald Publishing Limited