A family of virtual element methods for plane elasticity problems based on the Hellinger-Reissner principle

被引：36
作者：
Artioli, E. [1 ]
de Miranda, S. [2 ]
Lovadina, C. [3 ,4 ]
Patruno, L. [2 ]
机构：
[1] Univ Roma Tor Vergata, Dept Civil Engn & Comp Sci, Via Politecn 1, I-00133 Rome, Italy
[2] Univ Bologna, DICAM, Viale Risorgimento 2, I-40136 Bologna, Italy
[3] Univ Milan, Dipartimento Matemat, Via Saldini 50, I-20133 Milan, Italy
[4] CNR, IMATI, Via Ferrata 1, I-27100 Pavia, Italy
来源：
COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING | 2018年 / 340卷
关键词：
Virtual element method; Plane elasticity problem; Hellinger-Reissner formulation; Stability and convergence analysis; LINEAR ELASTICITY; FINITE DEFORMATIONS; MESHES; FORMULATIONS; POLYGONS;
D O I：
10.1016/j.cma.2018.06.020
中图分类号：
T [工业技术];
学科分类号：
08 ;
摘要：
In the framework of 2D elasticity problems, a family of Virtual Element schemes based on the Hellinger-Reissner variational principle is presented. A convergence and stability analysis is rigorously developed. Numerical tests confirming the theoretical predictions are performed. (C) 2018 Elsevier B.V. All rights reserved.
引用
收藏
页码：978 / 999
页数：22
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