Abstract
The performance of selected equivalent single-layer (ESL) models is evaluated within several classical benchmark tests for linear static analysis of multilayered plates. The authors developed their own finite element software based on the first-order shear deformation theory (FOSD) with some modifications incorporated including a correction of the transverse shear stiffness and an application of zigzag-type functions. Seven different ESL models were considered in the study; beside the classical FOSD model, there were three FOSD models with various transverse shear corrections and three ESL models enhanced by the application of zigzag functions. In addition, particular attention was paid to investigation of differences related to the “soft” and “hard” variants of the simple support.
Highlights
A typical multilayered plate as considered in this paper can take the form of a sandwich panel or a thin composite laminate [1]
In search of the answer to this question, the authors of the present research examined the performance of the selected seven different equivalent single-layer (ESL) models within several standard benchmark tests of a linear static analysis of multilayered plates: Beside the classical first-order shear deformation theory (FOSD) model, three FOSD models with various transverse shear corrections were included in the study together with three ESL models enhanced by the application of zigzag functions
The performance of various ESL models in a linear static finite element analysis of multilayered plates has been investigated in the paper
Summary
A typical multilayered plate as considered in this paper can take the form of a sandwich panel or a thin composite laminate [1]. The majority of computational models of multilayered panels is constructed within the macro-mechanical approach with the plate considered as a two-dimensional (2D) object (refer [3,4] for a comprehensive survey of computational models) Such models are usually prepared according to an appropriate lamination theory where the essential postulations describing the assumed arrangement and interaction of all components are undertaken. The most comprehensive 3D modeling requires an even larger number of unknowns; an application of such an approach is practically limited to those selected regions of the structure, where a necessity of such detailed modeling is forced by some substantial irregularities, i.e., connections with other objects It has been shown in many examples described in the literature (see e.g., [6,7]) that ESL models can be very effective in the investigation of a global response of multilayered panels of moderate thickness, despite substantial simplification assumptions made in that approach. The results of the finite element analysis performed with the examined models were confronted with the 3D elasticity theory solutions
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