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Post-buckling analysis of shell-like structures using an implicit dynamic time integration scheme

Djamel Boutagouga, Said Mamouri

Multidiscipline Modeling in Materials and Structures

ISSN: 1573-6105

Article publication date: 28 November 2022

Issue publication date: 2 January 2023

104

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

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