A self-stabilized triangular virtual element for Kirchhoff-Love shells

authored by: Tiago P. Wu, Paulo M. Pimenta, Peter Wriggers
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.
Organisation(s): Institute of Continuum Mechanics
External Organisation(s): Universidade de Sao Paulo
Type: Conference contribution
Publication date: 21.07.2024
Publication status: Published
Peer reviewed: Yes
ASJC Scopus subject areas: Mechanical Engineering
Electronic version(s): https://doi.org/10.23967/wccm.2024.024 (Access: Open)
: Details in the research portal "Research@Leibniz University"

BibTeX

@inproceedings{3e476a6ca7cd48b5a3a7680477656ac3,
title = "A self-stabilized triangular virtual element for Kirchhoff-Love shells",
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",
author = "Wu, {Tiago P.} and Pimenta, {Paulo M.} and Peter Wriggers",
note = "Publisher Copyright: {\textcopyright} 2024, Scipedia S.L. All rights reserved.; 16th World Congress on Computational Mechanics and 4th Pan American Congress on Computational Mechanics, WCCM-PANACM 2024 ; Conference date: 21-07-2024 Through 26-07-2024",
year = "2024",
month = jul,
day = "21",
doi = "10.23967/wccm.2024.024",
language = "English",
editor = "A. Korobenko and M. Laforest and S. Proudhomme and R. Vaziri",
booktitle = "16th World Congress in Computational Mechanics (WCCM)",
publisher = "International Centre for Numerical Methods in Engineering, CIMNE",
}