A New C0 2D Fe Model Based on Improved Higher Order Zigzag Theory for the Analysis of Soft Core Sandwich Plate

Abstract

An efficient C 0 continuous finite element (FE) model is developed based on a combined theory (refine higher order shear deformation theory (RHSDT) and least square error (LSE) method) for the static analysis of a soft core sandwich plate. In this (RHSDT) theory, the in-plane displacement field for the face sheets and the core is obtained by superposing a global cubically varying displacement field on a zig-zag linearly varying displacement field with a different slope in each layer. The transverse displacement assumes to have a quadratic variation within the core and it remains constant in the faces beyond the core. The proposed model satisfies the condition of transverse shear stress continuity at the layer interfaces and the zero transverse shear stress condition at the top and bottom of the sandwich plate. The nodal field variables are chosen in an efficient manner to circumvent the problem of C 1 continuity requirement of the transverse displacements. In order to calculate the accurate through thickness transverse stresses variation, the Least Square Error (LSE) method has been used at the post processing stage. The proposed combined model (RHSDT and LSE) is implemented to analyze the laminated composites and sandwich plates. Many new results are also presented which should be useful for future research.

An Improved C0 FE Model for the Sandwich Lattice Composite Panel

“…In fact, the improved C0 FE model could receive accurate results efficiently [31][32][33][34]. Chalak et al [35][36][37][38][39] proposed an improved C0 finite element model for LSP analysis with Kirchhoff's classic laminate plate theory (CLT) [17] was the first comprehensive theory developed for plates but it did not take the transverse shear strains into consideration. The single-layer theory is also known as first-order shear deformation theory (FSDT) and the disadvantage is lack of a shear correction factor to predict the actual parabolic variation of shear stress and shear locking phenomenon for thin plates, which is still being investigated now [18,19].…”

“…In fact, the improved C 0 FE model could receive accurate results efficiently [ 31 , 32 , 33 , 34 ]. Chalak et al [ 35 , 36 , 37 , 38 , 39 ] proposed an improved C 0 finite element model for LSP analysis with a soft, compressible core using HOZT. In this model, the in-plane displacement fields as a combination of a linear zigzag function with different slopes at each layer and cubically varying function over the entire thickness are assumed.…”

On buckling and free vibration studies of sandwich plates and cylindrical shells: A review

“…132 An improved C 0 plate FE model has been developed for the static analysis of a laminated soft core sandwich plate based on the RHSDT with a least square error (LSE) method to accurately calculate the deflections as well as stresses for different problems of composite and sandwich laminates. 133 An eight-noded C 0 continuous element with adequate choice of nodal field variables is developed based on secant function-based shear deformation theory. The shear deformation is expressed in terms of a secant function of thickness coordinate and the theory satisfies the zero transverse shear conditions.…”