Analysis of composite beams, plates, and shells using Jacobi polynomials and NDK models

Analysis of composite beams, plates, and shells using Jacobi polynomials and NDK models

Daniele Scano

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Abstract. In this work, hierarchical Jacobi-based expansions are explored for the static analysis of multilayered beams, plates, and shells as structural theories as well as shape functions. Jacobi polynomials, denoted as P_p^((γ,θ) ), belong to the family of classical orthogonal polynomials and depend on two scalars parameters and , with p being the polynomial order. Regarding the structural theories, layer wise and equivalent single-layer approaches can be used. It is demonstrated that the parameters and of the Jacobi polynomials are not influential for the calculations. These polynomials are employed in the framework of the Carrera Unified Formulation (CUF), which allows to generate of finite element stiffness matrices straightforwardly. Furthermore, Node-dependent Kinematics is used in the CUF framework to build global-local models to save computational costs and obtain reliable results simultaneously.

Finite Element Method, Beam Models, Plate Models, Shell Models, Jacobi Polynomials, Node-Dependent Kinematics, Carrera Unified Formulation

Published online 9/1/2023, 8 pages
Copyright © 2023 by the author(s)
Published under license by Materials Research Forum LLC., Millersville PA, USA

Citation: Daniele Scano, Analysis of composite beams, plates, and shells using Jacobi polynomials and NDK models, Materials Research Proceedings, Vol. 33, pp 148-155, 2023


The article was published as article 22 of the book Aerospace Science and Engineering

Content from this work may be used under the terms of the Creative Commons Attribution 3.0 license. Any further distribution of this work must maintain attribution to the author(s) and the title of the work, journal citation and DOI.

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