Free Vibrations of Multilayered Plates Based on a Mixed Variational Approach in Conjunction With Global Piecewise-Smooth Functions

Three-Dimensional Free Vibration Analysis of Cross-Ply Laminated Rectangular Plates with Free Edges Through a Displacement-Based Approach

“…It has been shown that regardless of the material properties of the laminated plates all the classical boundary conditions can be tackled with only three canonical functional bases. This constitutes a further generalization of a recent theory [12,13] that concerned simply supported freely vibrating plates.…”

“…In particular, the functional base through the z-axis allows slope changes at the interfaces to be a set of global piecewise-smooth functions [12]. In this regard, no continuity condition at the interfaces has been explicitly introduced between transversal and normal stress components.…”

Refined Zigzag Theory for laminated composite and sandwich plates derived from Reissner’s Mixed Variational Theorem

“…To the best of the authors' knowledge, in the early '80s Murakami [31] was the first to adopt the RMVT in formulating a mixed-field model for multilayered composite and sandwich plates, wherein a layer-wise second-order polynomial approximation for the transverse shear stresses is assumed. Since then, a lot of efforts have been devoted to the development of mixed-field models [3,[32][33][34][35][36]. In the framework of RMVT-based models, abundantly appear in the open literature the works by Carrera and co-workers ( [37][38][39], only as main reference) wherein the transverse shear stress field components are assumed, following Murakami [31], to vary according to a piece-wise polynomial distribution.…”

On the performance of advanced three-dimensional models for cylindrically bent plates subjected to arbitrary boundary conditions

“…Of course, we could choose classical polynomials fulfilling the geometric boundary conditions; however, this latter would not generally be the most appropriate choice. Alternatively, we could choose GPSFs [4]; these latter could be used in both the x and/or z -domains due to the material ( z -domain) and loading ( x -domain) discontinuities. Of course, our choices should not invalidate the results of the model when the discontinuities are absent or are not influent.…”