Homogenization of corrugated core sandwich panels

Abstract

The present work is devoted to the computation of the effective properties of corrugated core sandwich panels. Due to their periodic structure, the homogenization theory is used, based on the asymptotic expansion method. At the leading order, an equivalent Kirchhoff Love homogeneous plate is derived, with an overall behavior obtained from basic cell problems posed on the three dimensional period of the panel. The finite element computation of these effective properties is presented in this paper. The accuracy of the homogenization method is proved, since the real panel and equivalent plate responses are very close for membrane and pure bending loadings. However, a discrepancy appears for simple bending loading, underlining that transverse shear effects cannot be neglected. Therefore, a specific study is developed in order to derive the transverse shear stiffness, thus enabling to de termine an equivalent Reissner Mindlin homogeneous plate.

Sandwich Structure Based On Corrugated-Core: A Review

“…For example, Buannic et al, [28] studies the homogenization of corrugated sandwich panels. In this studies several shapes of corrugated-cores were selected including triangular shaped.…”

Multiscale computational homogenization of heterogeneous shells at small strains with extensions to finite displacements and buckling

“…In a series of works, Cartraud et al, focused on computational homogenization of slender periodic structures based on asymptotic expansion methods, where beams with sinusoidal microstructures (Cartraud and Messager [11]) and plates with corrugated cores (Buannic, Cartraud, and Quesnel [12]) have been studied in the context of Kirchhoff-Love and Reinssler-Mindlin plate models. Extending previous works on computational homogenization for bulk materials (e.g., [13][14][15][16][17][18] ), Coenen et al proposed a homogenization framework for nonlinear thin structures [19], involving a concurrent computational methodology where nonlinear computations are required at all integration points of the macroscopic shell model.…”

Bending and dynamic analyses of sandwich panels considering the size effect of sandwich core

“…Firstly, various kinds of methods involved in the homogenization method, the analytical method and the experimental method are pursued to obtain the effective properties of sandwich panels with the different cores. Buannic et al [8] computed the effective properties of sandwich panel with the corrugated core with the homogenization method and derived the equivalent Kirchhoff-Love and Reissner-Mindlin homogeneous plate. Meraghni et al [9] developed three approaches of finite element analysis, analytical study and experimental tests to determine the mechanical properties of the honeycomb and tubular cores for sandwich panels.…”