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A boundary element approach to buckling of laminated plates subjected to arbitrary in-plane loading

A boundary element approach to buckling of laminated plates subjected to arbitrary in-plane loading
A boundary element approach to buckling of laminated plates subjected to arbitrary in-plane loading
Laminated plate buckling is analyzed by the boundary element method (BEM). Ignoring bending stretching coupling, a solution is first sought for the membrane stresses due to arbitrary in plane loading. Using the stress function concept, it is shown that this problem is mathematically equivalent to the platebending problem.
Based on this similarity, a new boundary element formulation is developed for the prediction of the pre-buckling membrane state of stress in an anisotropic plate. The integral equations for the buckling mode are then derived from a variational principle using the fundamental solution of the platebending problem. An irreducible domain integral depending on plate deflection rather than curvatures is numerically accounted for by adopting deflection modeling over the plate in addition to boundary modeling. Linear discontinuous boundary elements as well as domain cells are used along with special schemes for the approximation of jump term at corners.
Analytical integration of singular integrals is performed over elements containing the source point. Thus a set of integral equations is transformed into an eigenvalue problem from which the critical load is evaluated. The reliability of the proposed analysis is established by comparing BEM predictions with solutions available from the literature or obtainable through a generalpurpose finite element program.
866-874
Cherukunnath, N.
cfa76cd8-2d21-4f46-bd6d-99646a7f9da9
Syngellakis, Stavros
1279f4e2-97ec-44dc-b4c2-28f5ac9c2f88
Cherukunnath, N.
cfa76cd8-2d21-4f46-bd6d-99646a7f9da9
Syngellakis, Stavros
1279f4e2-97ec-44dc-b4c2-28f5ac9c2f88

Cherukunnath, N. and Syngellakis, Stavros (2002) A boundary element approach to buckling of laminated plates subjected to arbitrary in-plane loading. 43rd AIAA/ASME/ASCE/AHS/ASC Structures, Structural Dynamics and Materials Conference, Denver, USA. 21 - 24 Apr 2002. pp. 866-874 .

Record type: Conference or Workshop Item (Paper)

Abstract

Laminated plate buckling is analyzed by the boundary element method (BEM). Ignoring bending stretching coupling, a solution is first sought for the membrane stresses due to arbitrary in plane loading. Using the stress function concept, it is shown that this problem is mathematically equivalent to the platebending problem.
Based on this similarity, a new boundary element formulation is developed for the prediction of the pre-buckling membrane state of stress in an anisotropic plate. The integral equations for the buckling mode are then derived from a variational principle using the fundamental solution of the platebending problem. An irreducible domain integral depending on plate deflection rather than curvatures is numerically accounted for by adopting deflection modeling over the plate in addition to boundary modeling. Linear discontinuous boundary elements as well as domain cells are used along with special schemes for the approximation of jump term at corners.
Analytical integration of singular integrals is performed over elements containing the source point. Thus a set of integral equations is transformed into an eigenvalue problem from which the critical load is evaluated. The reliability of the proposed analysis is established by comparing BEM predictions with solutions available from the literature or obtainable through a generalpurpose finite element program.

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Cherukunnath_Syngellakis_02_AIAA.pdf - Accepted Manuscript
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More information

Published date: 2002
Venue - Dates: 43rd AIAA/ASME/ASCE/AHS/ASC Structures, Structural Dynamics and Materials Conference, Denver, USA, 2002-04-21 - 2002-04-24

Identifiers

Local EPrints ID: 22070
URI: http://eprints.soton.ac.uk/id/eprint/22070
PURE UUID: c1b4f1eb-58f3-405a-ab0f-37baef43e24f

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Date deposited: 05 Jun 2006
Last modified: 06 Oct 2020 23:43

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Contributors

Author: N. Cherukunnath
Author: Stavros Syngellakis

University divisions

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