The University of Southampton
University of Southampton Institutional Repository

Boundary element modelling of non-linear buckling for symmetrically laminated plates

Boundary element modelling of non-linear buckling for symmetrically laminated plates
Boundary element modelling of non-linear buckling for symmetrically laminated plates
The non-linear buckling of composite laminates, triggered by geometric imperfections, is here analysed adopting a boundary element methodology. The non-linear theory for thin anisotropic plates couples in-plane forces causing
buckling with the consequent bending deformation. The adopted formulation for in-plane forces in terms of the stress function is mathematically identical to that
for the bending problem, thus boundary integral equations and fundamental solutions of the same form are used.

Differential equations governing increments of the stress function and the deflection are obtained; the resulting integral equations include irreducible domain integrals depending on powers or products of the second derivatives of the stress function and the deflection. The latter are
calculated through complementary integral equations obtained from the original ones by differentiating the field variables in the domain. The solution process
accounts for the domain integrals through an iterative scheme; thus there is no need for modelling any field variables in the plate domain although domain meshing is necessary for performing numerical integrations. The boundary is meshed into quadratic discontinuous elements while the domain is divided into triangular cells with linear discontinuous variation of the relevant field variables for integration purposes.

The analysis is implemented through a suit of C codes and applied to a rectangular symmetrically laminated plate. Its predictions are compared with published results obtained by other methods. The accuracy and limitations of the formulation are discussed and alternative approaches for expanding its scope pointed out.
Syngellakis, S.
1279f4e2-97ec-44dc-b4c2-28f5ac9c2f88
Cherukunnath, N.
cfa76cd8-2d21-4f46-bd6d-99646a7f9da9
Syngellakis, S.
1279f4e2-97ec-44dc-b4c2-28f5ac9c2f88
Cherukunnath, N.
cfa76cd8-2d21-4f46-bd6d-99646a7f9da9

Syngellakis, S. and Cherukunnath, N. (2009) Boundary element modelling of non-linear buckling for symmetrically laminated plates. 31st International Conference on Boundary Elements and Other Mesh Reduction Methods (BEM/MRM), New Forest, United Kingdom. 02 - 04 Sep 2009. 12 pp .

Record type: Conference or Workshop Item (Paper)

Abstract

The non-linear buckling of composite laminates, triggered by geometric imperfections, is here analysed adopting a boundary element methodology. The non-linear theory for thin anisotropic plates couples in-plane forces causing
buckling with the consequent bending deformation. The adopted formulation for in-plane forces in terms of the stress function is mathematically identical to that
for the bending problem, thus boundary integral equations and fundamental solutions of the same form are used.

Differential equations governing increments of the stress function and the deflection are obtained; the resulting integral equations include irreducible domain integrals depending on powers or products of the second derivatives of the stress function and the deflection. The latter are
calculated through complementary integral equations obtained from the original ones by differentiating the field variables in the domain. The solution process
accounts for the domain integrals through an iterative scheme; thus there is no need for modelling any field variables in the plate domain although domain meshing is necessary for performing numerical integrations. The boundary is meshed into quadratic discontinuous elements while the domain is divided into triangular cells with linear discontinuous variation of the relevant field variables for integration purposes.

The analysis is implemented through a suit of C codes and applied to a rectangular symmetrically laminated plate. Its predictions are compared with published results obtained by other methods. The accuracy and limitations of the formulation are discussed and alternative approaches for expanding its scope pointed out.

Text
syng_09a.pdf - Other
Restricted to Repository staff only

More information

Published date: 2009
Venue - Dates: 31st International Conference on Boundary Elements and Other Mesh Reduction Methods (BEM/MRM), New Forest, United Kingdom, 2009-09-02 - 2009-09-04

Identifiers

Local EPrints ID: 146339
URI: http://eprints.soton.ac.uk/id/eprint/146339
PURE UUID: 5d1458f9-1ef2-4ce4-89e1-8c2e9c834d1a

Catalogue record

Date deposited: 21 Apr 2010 11:23
Last modified: 14 Mar 2024 00:54

Export record

Contributors

Author: S. Syngellakis
Author: N. Cherukunnath

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

Atom RSS 1.0 RSS 2.0

Contact ePrints Soton: eprints@soton.ac.uk

ePrints Soton supports OAI 2.0 with a base URL of http://eprints.soton.ac.uk/cgi/oai2

This repository has been built using EPrints software, developed at the University of Southampton, but available to everyone to use.

We use cookies to ensure that we give you the best experience on our website. If you continue without changing your settings, we will assume that you are happy to receive cookies on the University of Southampton website.

×