Analysis of Laminated Sandwich Plates Based on an Improved Higher Order Zigzag Theory

Abstract

A finite element model based on an improved higher order zigzag plate theory developed by the authors is refined in this study and applied to bending and vibration response of soft core sandwich plates. The theory satisfies interlayer transverse shear stress continuity including transverse shear stress free condition at the plate top and bottom surfaces and transverse normal compressibility of the core. The in-plane displacements vary cubically through the entire thickness, while transverse displacement is assumed to vary quadratically within the core. In order to have a better computational benefit, a C0 finite element formulation is adopted. This is refined through satisfaction of certain constrains variationally using a penalty function approach. The performance of the model is demonstrated by comparing the present results with 3D elasticity solutions and other available results.

Assessment of the Refined Zigzag Theory for bending, vibration, and buckling of sandwich plates: a comparative study of different theories

“…The RZT approximate solution is obtained by using the Rayleigh-Ritz's method as for the dynamic Problem 2, Section 4.2, and the same spatial approximation for the incremental kinematic variables as in Eq. (31). The FSDT, LZZ and CZZ solutions are computed in a similar manner.…”

“…Xiaohui and Wanji [30], by using a third-order zigzag model, developed an improved C 0 -continuous plate finite element and applied it to the natural frequencies problem of sandwich plates with soft cores. Pandit et al [31,32] formulated a higher-order ZZ model where the in-plane displacements are assumed to be cubic across the thickness and the transverse displacement is constant across the face thickness and varies according to a second order polynomial through the core thickness. Based on this kinematic assumption, a C 0 -continuous plate finite element model was developed and applied to the bending, vibration and buckling loads problem of soft core sandwich plates [31,32].…”

A Delamination Propagation Model for Fiber Reinforced Laminated Composite Materials

“…The specimen geometry and stacking sequence are given in Table 4, and Table 5 shows the mechanical properties for the material considered. These properties were calculated at the laboratory of the Group of Aeronautical Structures (GEA from Portuguese) of the University of São Paulo localized in São Carlos City, excepting the value for out-of-plane shear modulus at the 2-3 planes (G 23 ), which correspond to 20% of E 2 [19].…”

Contribuição para teoria de placas: análises estruturais de compósitos laminados e estruturas sanduíches via formulações unificadas

“…These properties can be found in Table 18. Details of this case can be found in Pandit, Sheikh and Singh (2010). According to the knowledge of the present author, the transversal Poisson's ratio for the core was assumed to be equal 0.1.…”