Abstract
The paper presents effective numerical modelling of multi-layered plates with orthotropic properties. The method called the FEM23 is employed to construct the numerical model. The approach enables a full 3D analysis to be performed while using a 2D finite element mesh. The numerical model for a multi-layered plate is constructed by an assembling procedure, where each layer with orthotropic properties is added to the global numerical model. The paper demonstrates that the FEM23 method is very flexible in defining the multilayered plate, where the thickness of each layer as well as its mechanical orthotropic properties can be defined independently. Several examples of three-layered or nine-layered plates are analyzed in this paper. The results obtained by the FEM23 method coincide with the ones taken from the published papers or calculated with the standard 3D FEM approach. The orthotropic version of the FEM23 can be quite easily applied for other kinds of problems including thermo-mechanics, free vibrations, buckling analysis, or delamination.
Highlights
Multi-layer plates and shells with orthotropic properties in the layers are types of structures widely used in modern aerospace, automotive, and construction industries, due to their lightness, elasticity, durability, and excellent mechanical properties in regard to their thickness and weight
The results obtained by the FEM23 method are compared with the ones taken from the papers by Vuksanović et al [30] and Carrera and Ciuffreda [29], where multilayer plate theories were applied, as well as with the results yielded with the standard
This paper has presented the FEM23 method adapted for a numerical analysis of orthotropic multi-layered plates
Summary
Multi-layer plates and shells with orthotropic properties in the layers are types of structures widely used in modern aerospace, automotive, and construction industries, due to their lightness, elasticity, durability, and excellent mechanical properties in regard to their thickness and weight. The FEM23 is a fully 3D method, similar to the Proper Generalized Decomposition applied in [3,4], which allows for solving a fully 3D model, but with 2D characteristic computational complexity This approach uses the spatial decomposition of a displacement field combining the in-plane 2D solution with the transverse 1D solution. Proposed a two-dimensional model to analyze deformations of multi-layered orthotropic plates, where a multi-layered plate was replaced by an equivalent plate composed of a monoclinic material with piecewise elastic modules, and an asymptotic expansion was applied to obtain the solution. The combined experimental and analytical study of multi-layered laminated glass subjected to low-velocity impacts was presented by Wang et al [20], while the experimental determination of material properties in an elliptical orthotropic plate was proposed by Marchetti et al [21].
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