A stress/displacement Virtual Element method for plane elasticity problems

被引：85
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 | 2017年 / 325卷
关键词：
Virtual element method; Hellinger-Reissner; Symmetric stress; Elasticity; Low order method; POLYGONAL FINITE-ELEMENTS; POLYHEDRAL MESHES; ELLIPTIC PROBLEMS; DIFFUSION-PROBLEMS; DIFFERENCE METHOD; ERROR; DISPLACEMENT;
D O I：
10.1016/j.cma.2017.06.036
中图分类号：
T [工业技术];
学科分类号：
08 ;
摘要：
The numerical approximation of 2D elasticity problems is considered, in the framework of the small strain theory and in connection with the mixed Hellinger-Reissner variational formulation. A low-order Virtual Element Method (VEM) with a priori symmetric stresses is proposed. Several numerical tests are provided, along with a rigorous stability and convergence analysis. (C) 2017 Elsevier B.V. All rights reserved.
引用
收藏
页码：155 / 174
页数：20
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