A combined scheme of edge-based and node-based smoothed finite element methods for Reissner-Mindlin flat shells

被引：39

作者：

Son Nguyen-Hoang ^{[1
]}

Phuc Phung-Van ^{[2
]}

Natarajan, Sundararajan ^{[3
]}

Kim, Hyun-Gyu ^{[1
]}

机构：

[1] Seoul Natl Univ Sci & Technol, Dept Mech & Automot Engn, 232 Gongneung Ro, Seoul 139743, South Korea

[2] Univ Ghent, Dept Mech Construct & Prod, Fac Engn & Architecture, Technol Pk Zwijnaarde 903, B-9052 Ghent, Belgium

[3] Indian Inst Technol, Dept Mech Engn, Madras 600036, Tamil Nadu, India

来源：

ENGINEERING WITH COMPUTERS | 2016年 / 32卷 / 02期

基金：

新加坡国家研究基金会;

关键词：

Reissner-Mindlin flat shell; Edge-based smoothed finite element method (ES-FEM); Node-based smoothed finite element method (NS-FEM); Strain smoothing technique; FREE-VIBRATION ANALYSES; GEOMETRICALLY NONLINEAR-ANALYSIS; SOLID MECHANICS PROBLEMS; MESHFREE THIN SHELL; TRIANGULAR ELEMENTS; PLATE ELEMENT; COMPOSITE PLATES; VISCOELASTIC FOUNDATION; DEFORMATION-THEORY; DYNAMIC-RESPONSE;

D O I：

10.1007/s00366-015-0416-z

中图分类号：

TP39 [计算机的应用];

学科分类号：

081203 ; 0835 ;

摘要：

In this paper, a combined scheme of edge-based smoothed finite element method (ES-FEM) and node-based smoothed finite element method (NS-FEM) for triangular Reissner-Mindlin flat shells is developed to improve the accuracy of numerical results. The present method, named edge/node-based S-FEM (ENS-FEM), uses a gradient smoothing technique over smoothing domains based on a combination of ES-FEM and NS-FEM. A discrete shear gap technique is incorporated into ENS-FEM to avoid shear-locking phenomenon in Reissner-Mindlin flat shell elements. For all practical purpose, we propose an average combination (aENS-FEM) of ES-FEM and NS-FEM for shell structural problems. We compare numerical results obtained using aENS-FEM with other existing methods in the literature to show the effectiveness of the present method.

引用

页码：267 / 284

页数：18

共 43 条

[1] Analysis of fracture in thin shells by overlapping paired elements [J].

Areias, Pedro M. A. ;

Song, J. H. ;

Belytschko, Ted .

COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING, 2006, 195 (41-43) :5343-5360

[2] A FORMULATION OF GENERAL SHELL ELEMENTS - THE USE OF MIXED INTERPOLATION OF TENSORIAL COMPONENTS [J].

BATHE, KJ ;

DVORKIN, EN .

INTERNATIONAL JOURNAL FOR NUMERICAL METHODS IN ENGINEERING, 1986, 22 (03) :697-722

[3] A DISCRETE SHEAR TRIANGULAR 9 DOF ELEMENT FOR THE ANALYSIS OF THICK TO VERY THIN PLATES [J].

BATOZ, JL ;

LARDEUR, P .

INTERNATIONAL JOURNAL FOR NUMERICAL METHODS IN ENGINEERING, 1989, 28 (03) :533-560

[4]

Bischoff M, 1997, INT J NUMER METH ENG, V40, P4427, DOI 10.1002/(SICI)1097-0207(19971215)40:23<4427::AID-NME268>3.0.CO

[5]

2-9

[6] A unified approach for shear-locking-free triangular and rectangular shell finite elements [J].

Bletzinger, KU ;

Bischoff, M ;

Ramm, E .

COMPUTERS & STRUCTURES, 2000, 75 (03) :321-334

[7] Analysis of plates and shells using an edge-based smoothed finite element method [J].

Cui, Xiangyang ;

Liu, Gui-Rong ;

Li, Guang-yao ;

Zhang, GuiYong ;

Zheng, Gang .

COMPUTATIONAL MECHANICS, 2010, 45 (2-3) :141-156

[8] A rotation-free thin shell quadrilateral [J].

Flores, Fernando G. ;

Estrada, Carlos F. .

COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING, 2007, 196 (25-28) :2631-2646

[9]

Fluge W, 1960, Stress in shells

[10] Design and development of a discontinuous Galerkin method for shells [J].

Guzey, S. ;

Stolarski, H. K. ;

Cockburn, B. ;

Tamma, K. K. .

COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING, 2006, 195 (25-28) :3528-3548

← 1 2 3 4 5 →