A mixed edge-based smoothed finite element method (MES-FEM) for elasticity

被引：17

作者：

Leonetti, Leonardo ^{[1
]}

Garcea, Giovanni ^{[1
]}

Nguyen-Xuan, H. ^{[2
,3
]}

机构：

[1] Univ Calabria, Dipartimento Ingn Informat Modellist Elettron & S, I-87036 Cosenza, Italy

[2] Ruhr Univ Bochum, Lehrstuhl Mech Mat Theorie, Univ Str 150, D-44801 Bochum, Germany

[3] Ho Chi Minh Univ Technol HUTECH, Interdisciplinary Res Technol CIRTech, Ho Chi Minh City, Vietnam

来源：

COMPUTERS & STRUCTURES | 2016年 / 173卷

关键词：

Mixed finite element; ES-FEM; Plane structural problems; Elastic analysis; Drilling rotations; SOLID MECHANICS PROBLEMS; METHOD ES-FEM; INCLUDING VERTEX ROTATIONS; LIMIT ANALYSIS; DRILLING DEGREES; ELASTOPLASTIC ANALYSIS; TRIANGULAR ELEMENT; SHELL ELEMENT; FREEDOM; FORMULATION;

D O I：

10.1016/j.compstruc.2016.06.003

中图分类号：

TP39 [计算机的应用];

学科分类号：

081203 ; 0835 ;

摘要：

We propose a mixed smoothed finite element model for plane elasticity. Within each triangular element the displacement field is described by a revised Allman interpolation, while the stresses are assumed to be piece-wise constant on a background grid associated with the edges of the triangle. A straightforward implementation of the element, in order to make it easy to readily incorporate it in existing FE packages, is described. The numerical experiments show that the proposed model performs well and takes advantage of the enrichment of the displacement field. Moreover the drilling rotation parameters makes simple the extension to form shell elements. (C) 2016 Elsevier Ltd. All rights reserved.

引用

页码：123 / 138

页数：16

共 51 条

[1] A QUADRILATERAL FINITE-ELEMENT INCLUDING VERTEX ROTATIONS FOR PLANE ELASTICITY ANALYSIS [J].

ALLMAN, DJ .

INTERNATIONAL JOURNAL FOR NUMERICAL METHODS IN ENGINEERING, 1988, 26 (03) :717-730

[2] A COMPATIBLE TRIANGULAR ELEMENT INCLUDING VERTEX ROTATIONS FOR PLANE ELASTICITY ANALYSIS [J].

ALLMAN, DJ .

COMPUTERS & STRUCTURES, 1984, 19 (1-2) :1-8

[3] DIRECT FORMULATION OF A HYBRID 4-NODE SHELL ELEMENT WITH DRILLING DEGREES OF FREEDOM [J].

AMINPOUR, MA .

INTERNATIONAL JOURNAL FOR NUMERICAL METHODS IN ENGINEERING, 1992, 35 (05) :997-1013

[4] A high-performance element for the analysis of 2D elastoplastic continua [J].

Bilotta, A. ;

Casciaro, R. .

COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING, 2007, 196 (4-6) :818-828

[5] An algorithm for incremental elastoplastic analysis using equality constrained sequential quadratic programming [J].

Bilotta, Antonio ;

Leonetti, Leonardo ;

Garcea, Giovanni .

COMPUTERS & STRUCTURES, 2012, 102 :97-107

[6] Three field finite elements for the elastoplastic analysis of 2D continua [J].

Bilotta, Antonio ;

Leonetti, Leonardo ;

Garcea, Giovanni .

FINITE ELEMENTS IN ANALYSIS AND DESIGN, 2011, 47 (10) :1119-1130

[7] An Edge-based Imbricate Finite Element Method (EI-FEM) with full and reduced integration [J].

Cazes, Fabien ;

Meschke, Guenther .

COMPUTERS & STRUCTURES, 2012, 106 :154-175

[8] A 4-node hybrid stress-function (HS-F) plane element with drilling degrees of freedom less sensitive to severe mesh distortions [J].

Cen, Song ;

Zhou, Ming-Jue ;

Fu, Xiang-Rong .

COMPUTERS & STRUCTURES, 2011, 89 (5-6) :517-528

[9] Extended finite element method with edge-based strain smoothing (ESm-XFEM) for linear elastic crack growth [J].

Chen, L. ;

Rabczuk, T. ;

Bordas, S. P. A. ;

Liu, G. R. ;

Zeng, K. Y. ;

Kerfriden, P. .

COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING, 2012, 209 :250-265

[10] A singular edge-based smoothed finite element method (ES-FEM) for crack analyses in anisotropic media [J].

Chen, L. ;

Liu, G. R. ;

Jiang, Y. ;

Zeng, K. ;

Zhang, J. .

ENGINEERING FRACTURE MECHANICS, 2011, 78 (01) :85-109

← 1 2 3 4 5 6 →