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

页码：155 / 174

页数：20

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