Details
| Original language | English |
|---|---|
| Title of host publication | 16th World Congress in Computational Mechanics (WCCM) |
| Editors | A. Korobenko, M. Laforest, S. Proudhomme, R. Vaziri |
| Publication status | Published - 21 Jul 2024 |
| Event | 16th World Congress on Computational Mechanics and 4th Pan American Congress on Computational Mechanics, WCCM-PANACM 2024 - Vancouver, Canada Duration: 21 Jul 2024 → 26 Jul 2024 |
Abstract
This work presents a self-stabilized triangular virtual element for linear Kirchhoff– Love shells. The domain decomposition by flat triangles directly approximates the shell geometry without resorting to a curvilinear coordinate system or an initial mapping approach. The problem is discretized by the lowest-order conventional virtual element method for the membrane, in which stabilization is needless, and by a stabilization-free virtual element procedure for the plate. Numerical examples of static problems show the potential of the formulation as a prelude for the evolution of self-stabilized Kirchhoff–Love shell virtual elements.
Keywords
- Kirchhoff–Love shells, Linearity, Stabilization-free, Virtual element method
ASJC Scopus subject areas
- Engineering(all)
- Mechanical Engineering
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16th World Congress in Computational Mechanics (WCCM). ed. / A. Korobenko; M. Laforest; S. Proudhomme; R. Vaziri. 2024.
Research output: Chapter in book/report/conference proceeding › Conference contribution › Research › peer review
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TY - GEN
T1 - A self-stabilized triangular virtual element for Kirchhoff-Love shells
AU - Wu, Tiago P.
AU - Pimenta, Paulo M.
AU - Wriggers, Peter
N1 - Publisher Copyright: © 2024, Scipedia S.L. All rights reserved.
PY - 2024/7/21
Y1 - 2024/7/21
N2 - This work presents a self-stabilized triangular virtual element for linear Kirchhoff– Love shells. The domain decomposition by flat triangles directly approximates the shell geometry without resorting to a curvilinear coordinate system or an initial mapping approach. The problem is discretized by the lowest-order conventional virtual element method for the membrane, in which stabilization is needless, and by a stabilization-free virtual element procedure for the plate. Numerical examples of static problems show the potential of the formulation as a prelude for the evolution of self-stabilized Kirchhoff–Love shell virtual elements.
AB - This work presents a self-stabilized triangular virtual element for linear Kirchhoff– Love shells. The domain decomposition by flat triangles directly approximates the shell geometry without resorting to a curvilinear coordinate system or an initial mapping approach. The problem is discretized by the lowest-order conventional virtual element method for the membrane, in which stabilization is needless, and by a stabilization-free virtual element procedure for the plate. Numerical examples of static problems show the potential of the formulation as a prelude for the evolution of self-stabilized Kirchhoff–Love shell virtual elements.
KW - Kirchhoff–Love shells
KW - Linearity
KW - Stabilization-free
KW - Virtual element method
UR - http://www.scopus.com/inward/record.url?scp=85216812189&partnerID=8YFLogxK
U2 - 10.23967/wccm.2024.024
DO - 10.23967/wccm.2024.024
M3 - Conference contribution
AN - SCOPUS:85216812189
BT - 16th World Congress in Computational Mechanics (WCCM)
A2 - Korobenko, A.
A2 - Laforest, M.
A2 - Proudhomme, S.
A2 - Vaziri, R.
T2 - 16th World Congress on Computational Mechanics and 4th Pan American Congress on Computational Mechanics, WCCM-PANACM 2024
Y2 - 21 July 2024 through 26 July 2024
ER -