2020
DOI: 10.1098/rspa.2019.0609
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The role of symmetry in the post-buckling behaviour of structures

Abstract: Symmetry plays an integral role in the post-buckling analysis of elastic structures. We show that the post-buckling response of engineering systems with given symmetry properties can be described using a preselected set of buckling modes. Therefore, the main original contribution of this paper is to prove the existence of these influential buckling modes and reveal some insights about them. From an engineering point of view, this study leads to the possibility of reducing computational effort in the an… Show more

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Cited by 7 publications
(4 citation statements)
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“…In this case, point P6 experiences a shift in the value of the displacement, due to the buckling. This can be confirmed by monitoring the strains of the internal and external points considering a maximum Indeed, Figures 18-20 highlight the symmetrical out-of-plane displacement patterns resulting from the structural response of these symmetric systems (due to the adopted material formulation), as suggested in [37].…”
mentioning
confidence: 54%
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“…In this case, point P6 experiences a shift in the value of the displacement, due to the buckling. This can be confirmed by monitoring the strains of the internal and external points considering a maximum Indeed, Figures 18-20 highlight the symmetrical out-of-plane displacement patterns resulting from the structural response of these symmetric systems (due to the adopted material formulation), as suggested in [37].…”
mentioning
confidence: 54%
“…Out-of-plane displacement: 1.0 mm applied displacement. Indeed, Figures 18-20 highlight the symmetrical out-of-plane displacement patterns resulting from the structural response of these symmetric systems (due to the adopted material formulation), as suggested in [37].…”
mentioning
confidence: 92%
“…Both deformation patterns shown in Fig. 15 exhibit central symmetry, and this is due to the fact that the stiffness terms D 16 and D 26 are nonzero for both panels [45,46].…”
Section: B Panel Under Pure Compressionmentioning
confidence: 92%
“…Subsequently, computational efficiency can be drastically improved by using the dominating modes only. In another study by Zocco et al, 174 the importance of symmetry in post-buckling response analysis is discussed. Curie’s principle is used to exploit symmetric properties.…”
Section: General Studies On Variable Stiffness Composites With Optimi...mentioning
confidence: 99%