Homogenization of thick periodic plates: Application of the Bending-Gradient plate theory to a folded core sandwich panel

Arthur Lebée 1 Karam Sab 1
1 MSA - Matériaux et Structures Architecturés
NAVIER UMR 8205 - Laboratoire Navier
Abstract : In a previous paper from the authors, the bounds from Kelsey et al. (1958) were applied to a sandwich panel including a folded core in order to estimate its shear forces stiffness (Lebée and Sab, 2010b). The main outcome was the large discrepancy of the bounds. Recently, Lebée and Sab (2011a) suggested a new plate theory for thick plates - the Bending-Gradient plate theory - which is the extension to heterogeneous plates of the well-known Reissner-Mindlin theory. In the present work, we provide the Bending-Gradient homogenization scheme and apply it to a sandwich panel including the chevron pattern. It turns out that the shear forces stiffness of the sandwich panel is strongly influenced by a skin distortion phenomenon which cannot be neglected in conventional design. Detailed analysis of this effect is provided.
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International Journal of Solids and Structures, Elsevier, 2012, 49 (19-20), pp.2778--2792. 〈10.1016/j.ijsolstr.2011.12.009〉
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Arthur Lebée, Karam Sab. Homogenization of thick periodic plates: Application of the Bending-Gradient plate theory to a folded core sandwich panel. International Journal of Solids and Structures, Elsevier, 2012, 49 (19-20), pp.2778--2792. 〈10.1016/j.ijsolstr.2011.12.009〉. 〈hal-00794194〉

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