A super-convergent thin-walled 3D beam element for analysis of laminated composite structures with arbitrary cross-section
A super-convergent thin-walled 3D beam element for analysis of laminated composite structures with arbitrary cross-section
An efficient, fully coupled beam model is developed to analyse laminated composite thin-walled structures with arbitrary cross-sections. The Euler–Lagrangian equations are derived from the kinematic relationships for a One-Dimensional (1D) beam representing Three-Dimensional (3D) deformations that take into account the cross-sectional stiffness of the composite structure. The formulation of the cross-sectional stiffness includes all the deformation effects and related elastic couplings. To circumvent the problem of shear locking, exact solutions to the approximating Partial Differential Equations (PDEs) are obtained symbolically instead of by numerical integration. The developed locking-free composite beam element results in an exact stiffness matrix and has super-convergent characteristics. The beam model is tested for different types of layup, and the results are validated by comparison with experimental results from literature.
1792 - 1814
Talele, M.
e8c95158-1a73-4454-a916-25fff8c540ab
Van Tooren, M.
832d7065-2032-45e2-b24b-3fd984632d18
Elham, A.
676043c6-547a-4081-8521-1567885ad41a
Talele, M.
e8c95158-1a73-4454-a916-25fff8c540ab
Van Tooren, M.
832d7065-2032-45e2-b24b-3fd984632d18
Elham, A.
676043c6-547a-4081-8521-1567885ad41a
Talele, M., Van Tooren, M. and Elham, A.
(2021)
A super-convergent thin-walled 3D beam element for analysis of laminated composite structures with arbitrary cross-section.
Aeronautical Journal, 125 (1292), .
(doi:10.1017/aer.2021.44).
Abstract
An efficient, fully coupled beam model is developed to analyse laminated composite thin-walled structures with arbitrary cross-sections. The Euler–Lagrangian equations are derived from the kinematic relationships for a One-Dimensional (1D) beam representing Three-Dimensional (3D) deformations that take into account the cross-sectional stiffness of the composite structure. The formulation of the cross-sectional stiffness includes all the deformation effects and related elastic couplings. To circumvent the problem of shear locking, exact solutions to the approximating Partial Differential Equations (PDEs) are obtained symbolically instead of by numerical integration. The developed locking-free composite beam element results in an exact stiffness matrix and has super-convergent characteristics. The beam model is tested for different types of layup, and the results are validated by comparison with experimental results from literature.
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a-super-convergent-thin-walled-3d-beam-element-for-analysis-of-laminated-composite-structures-with-arbitrary-cross-section
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Accepted/In Press date: 28 April 2021
e-pub ahead of print date: 7 June 2021
Identifiers
Local EPrints ID: 468829
URI: http://eprints.soton.ac.uk/id/eprint/468829
ISSN: 0001-9240
PURE UUID: c70d7121-8639-4270-b24a-f519122de586
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Date deposited: 26 Aug 2022 16:52
Last modified: 16 Mar 2024 21:26
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Author:
M. Talele
Author:
M. Van Tooren
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