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An efficient isostatic mixed shell element for coarse mesh solution
Date
2020
Abstract
A novel mixed shell finite element (FE) is presented. The element is obtained from the Hellingerâ Reissner variational principle and it is based on an elastic solution of the generalized stress field, which is ruled by the minimum number of variables. As such, the new FE is isostatic because the number of stress parameters is equal to the number of kinematical parameters minus the number of rigid body motions. We name this new FE MISSâ 8. MISSâ 8 has generalized displacements and rotations interpolated along its contour and drilling rotation is also considered as degree of freedom. The element is integrated exactly on its contour, it does not suffer from rank defectiveness and it is lockingâ free. Furthermore, it is efficient for recovering both stress and displacement fields when coarse meshes are used. The numerical investigation on its performance confirms the suitability, accuracy, and efficiency to recover elastic solutions of thickâ and thinâ walled beamâ like structures. Numerical results obtained with the proposed FE are also compared with those obtained with isogeometric highâ performance solutions. Finally, numerical results show a rate of convergence between h2 and h4.
Supervisor
Description
peer-reviewed
Publisher
John Wiley & Sons, Inc.
Citation
International Journal for Numerical Methods in Engineering; 122, pp. 82-121
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Files
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Zucco_2020_Efficient.pdf
Adobe PDF, 4.53 MB
Funding code
Funding Information
Sustainable Development Goals
External Link
Type
Article
Rights
https://creativecommons.org/licenses/by-nc-sa/1.0/