Local formulation for elasto-plastic corotational thin-walled beams based on higher-order curvature terms

被引：14

作者：

Alsafadie, R. ^{[1
]}

Battini, J. -M. ^{[2
]}

Somja, H. ^{[1
]}

Hjiaj, M. ^{[1
]}

机构：

[1] Univ Europeenne Bretagne, INSA Rennes, Struct Engn Res Grp LGCGM, F-35043 Rennes, France

[2] Royal Inst Technol, KTH, Dept Civil & Architectural Engn, SE-10044 Stockholm, Sweden

来源：

FINITE ELEMENTS IN ANALYSIS AND DESIGN | 2011年 / 47卷 / 02期

关键词：

Geometrically nonlinear beam; Three-dimensional corotational formulation; Finite element analysis; Arbitrary cross-section; Bending curvatures; Elasto-plasticity; VECTORIAL ROTATIONAL VARIABLES; FINITE-ELEMENT ANALYSIS; INSTABILITY; SECTION; TORSION;

D O I：

10.1016/j.finel.2010.08.006

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

The paper deals with the derivation of a local elasto-plastic finite element formulation of three dimensional corotational beams with arbitrary cross- section. Based on Bernoulli beam kinematics, an improved displacement field is constructed by inclusion of second-order terms of cross-section local rotations. The formulation captures both the Saint-Venant and warping torsional effects of open cross sections. Numerical tests show that the inclusion of the second-order terms of the local bending curvatures gives more accurate and more efficient element that allows a significant reduction of the computational time. (C) 2010 Elsevier B.V. All rights reserved.

引用

页码：119 / 128

页数：10

共 34 条

[21]

Gruttmann F, 1999, INT J NUMER METH ENG, V45, P865, DOI 10.1002/(SICI)1097-0207(19990710)45:7<865::AID-NME609>3.0.CO

[22]

2-3

[23]

GUGGENBERGER W, 2000, EUR C COMP METH APPL

[24]

Jetteur P., 1984, THESIS U LIEGE BELGI

[25]

Jetteur P., 1986, ENG COMPUTATION, V3, P176

[26]

Krenk S., 2009, NONLINEAR MODELING A

[27] A co-rotational formulation for 3D beam element using vectorial rotational variables [J].

Li, Z. X. .

COMPUTATIONAL MECHANICS, 2007, 39 (03) :309-322

[28] A mixed co-rotational formulation of 2D beam element using vectorial rotational variables [J].

Li, Z. X. .

COMMUNICATIONS IN NUMERICAL METHODS IN ENGINEERING, 2007, 23 (01) :45-69

[29]

Nukala P.K., 1997, THESIS PURDUE U

[30] Effects of approximations in analyses of beams of open thin-walled cross-section - part I: Flexural-torsional stability [J].

Pi, YL ;

Bradford, MA .

INTERNATIONAL JOURNAL FOR NUMERICAL METHODS IN ENGINEERING, 2001, 51 (07) :757-772

← 1 2 3 4 →