NURBS-based geometries: A mapping approach for virtual serendipity elements

被引：12
|
作者：
Wriggers, Peter [1 ]
Hudobivnik, Blaz [1 ]
Aldakheel, Fadi [1 ]
机构：
[1] Leibniz Univ Hannover, Inst Continuum Mech, Hannover, Germany
来源：
COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING | 2021年 / 378卷
关键词：
Virtual element method (VEM); Higher-order formulations; Serendipity elements; Bezier splines; Isoparametric maps; STABILIZATION TECHNIQUE; FINITE-ELEMENTS; FORMULATIONS; DEFORMATION; MESHES; VEM;
D O I：
10.1016/j.cma.2021.113732
中图分类号：
T [工业技术];
学科分类号：
08 ;
摘要：
A NURBS-based serendipity virtual element method for general (arbitrary) element shapes is outlined in this work. The low-order VEM ansatz function is now extended towards higher-order formulation. In comparison with the already existing serendipity VEM, a general mapping scheme is developed within this contribution allowing to deviate from the assumption of straight edges of virtual elements. A number of numerical examples illustrates the robustness and accuracy of the new mapping methodology. The results are very promising and underline the advantages of the formulations for dealing with arbitrary geometries. (C)& nbsp;2021 Elsevier B.V. All rights reserved. <comment>Superscript/Subscript Available</comment
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页数：23
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