Ring-element analysis of layered orthotropic bodies
type: Item
instance of: scholarly article
title: Ring-element analysis of layered orthotropic bodies
zbMATH Open document ID: 0789.73072
DOI: 10.1016/0045-7825(93)90053-Z
author: Ole Jørgensen
published in: Computer Methods in Applied Mechanics and Engineering
publication date: 1993-06-29T00:00:00Z
review text: The main objective is to obtain a computationally efficient model for the elasticity analysis of laminated circular bodies. This goal is achieved by truncating the Fourier series of the displacement field, in the direction of the circumference, when cylindrical coordinates are considered. Thus the corresponding coefficients are functions of radius and axial coordinate; they are then considered to be in a convenient finite element space and solved for with standard integration techniques. Since scalar products of trigonometric functions have known values, an implicit dimension reduction is obtained; this results in a significant reduction in computational work in the exhibited examples.
Mathematics Subject Classification ID: 74S05
Mathematics Subject Classification ID: 74E30
zbMATH DE Number: 219616
zbMATH Keywords: Fourier series truncation
zbMATH Keywords: laminated circular bodies
zbMATH Keywords: dimension reduction
reviewed by: Juan Pedro Milaszewicz
MaRDI profile type: Publication
cites work: A generalization of two-dimensional theories of laminated composite plates
cites work: An accurate determination of stresses in thick laminates using a generalized plate theory
cites work: A plate bending element based on a generalized laminate plate theory
cites work: Triangular finite element for analysis of thick laminated plates
cites work: Q5810374
cites work: Q3026450
full work available at URL: 0045-7825(93)90053-z
OpenAlex ID: W1993349916
description: scientific article; zbMATH DE number 219616