A comparison of displacement-based Timoshenko multi-fiber beams finite element formulations and elasto-plastic applications

被引:14
|
作者
Bitar, Ibrahim [1 ]
Grange, Stephane [2 ]
Kotronis, Panagiotis [1 ]
Benkemoun, Nathan [3 ]
机构
[1] Univ Nantes, Ecole Cent Nantes, CNRS, Inst Rech Genie Civil & Mecan GeM,UMR 6183, 1 Rue Noe,BP 92101, Nantes 3, France
[2] Univ Grenoble Alpes, CNRS, 3SR, Grenoble, France
[3] Univ Nantes, IUT St Nazaire, CNRS, Inst Rech Genie Civil & Mecan GeM,UMR 6183, 58 Rue Michel Ange, St Nazaire, France
关键词
Timoshenko; multi-fiber; displacement-based beam; shape functions; REINFORCED-CONCRETE FRAMES; ULTIMATE LOAD DESIGN; NONLINEAR-ANALYSIS; SHEAR LOCKING; MODELING STRATEGY; MEMBRANE LOCKING; FAILURE ANALYSIS; LOCALIZATION; WALLS; BEHAVIOR;
D O I
10.1080/19648189.2016.1210031
中图分类号
TU [建筑科学];
学科分类号
0813 ;
摘要
Various formulations of displacement-based Timoshenko multi-fiber beams are compared in this article. After a short literature review, the presentation of the shape functions leading to the stiffness matrices and the consistent nodal forces relative to each formulation are presented and their performances are studied using elastic or elastic perfectly plastic constitutive laws and simple to complex static loadings. The advantages and disadvantages of each formulation are highlighted and general conclusions are drawn on the use of displacement-based Timoshenko multi-fiber beams in engineering. An innovative solution is finally proposed to improve the performance for the case of axial-bending interactions.
引用
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页码:464 / 490
页数:27
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