The geometrically nonlinear analysis of sandwich panels
The geometrically nonlinear analysis of sandwich panels
The main objective of this investigation is to determine the elastic static mechanical response of sandwich panels in the large deflection zone. Two distinct approaches wre adopted. The first approach established an analogy between a sandwich panel and a structural framework. The analogy replaces the solid three-dimensional sandwich by a space framework with suitable elastic properties. The resulting framework is then analysed and solutions are obtained for the original sandwich. It was necessary first of all to study the large deflection behaviour of unstretched, flat membranes which are subjected to transverse loading under various boundary conditions. Once a membrane analogy for the faces had been established, it was then possible to incorporate it in a simple truss model for sandwich plates with weak cores and very thin faces. In the second approach, a geometrically nonlinear finite element treatment of the problem was conducted. This treatment falls into two parts. In the first part, the sandwich plate is regarded as a two-dimensional problem, i.e. the plate is incompressible in the transverse direction. Two finite element formulations can be identified depending on the assumptions used in modelling the sandwich. The equivalent homogeneous formulation was investigated first, followed by the more general multilayer formulation. Geometric nonlinearity was incorporated in existing, modified and new elements. In the second part, the three-dimensional nature of sandwich panels is recognised by building the sandwich from a variety of area and volume elements. Several illustrative examples are solved to demonstrate the accuracy and versatility of the various formulations. A collection of design graphs is presented depicting the variation of the relevant solution coefficients with loading for square isotropic sandwich plates under uniform pressure. (D71896/87)
University of Southampton
1986
Al-Qarra, Husam Hamdan
(1986)
The geometrically nonlinear analysis of sandwich panels.
University of Southampton, Doctoral Thesis.
Record type:
Thesis
(Doctoral)
Abstract
The main objective of this investigation is to determine the elastic static mechanical response of sandwich panels in the large deflection zone. Two distinct approaches wre adopted. The first approach established an analogy between a sandwich panel and a structural framework. The analogy replaces the solid three-dimensional sandwich by a space framework with suitable elastic properties. The resulting framework is then analysed and solutions are obtained for the original sandwich. It was necessary first of all to study the large deflection behaviour of unstretched, flat membranes which are subjected to transverse loading under various boundary conditions. Once a membrane analogy for the faces had been established, it was then possible to incorporate it in a simple truss model for sandwich plates with weak cores and very thin faces. In the second approach, a geometrically nonlinear finite element treatment of the problem was conducted. This treatment falls into two parts. In the first part, the sandwich plate is regarded as a two-dimensional problem, i.e. the plate is incompressible in the transverse direction. Two finite element formulations can be identified depending on the assumptions used in modelling the sandwich. The equivalent homogeneous formulation was investigated first, followed by the more general multilayer formulation. Geometric nonlinearity was incorporated in existing, modified and new elements. In the second part, the three-dimensional nature of sandwich panels is recognised by building the sandwich from a variety of area and volume elements. Several illustrative examples are solved to demonstrate the accuracy and versatility of the various formulations. A collection of design graphs is presented depicting the variation of the relevant solution coefficients with loading for square isotropic sandwich plates under uniform pressure. (D71896/87)
This record has no associated files available for download.
More information
Published date: 1986
Identifiers
Local EPrints ID: 460740
URI: http://eprints.soton.ac.uk/id/eprint/460740
PURE UUID: 9a51688e-129f-487c-87ec-212dfb8b07e0
Catalogue record
Date deposited: 04 Jul 2022 18:28
Last modified: 04 Jul 2022 18:28
Export record
Contributors
Author:
Husam Hamdan Al-Qarra
Download statistics
Downloads from ePrints over the past year. Other digital versions may also be available to download e.g. from the publisher's website.
View more statistics