Analytical study for the development of a new warping function for high order beam theory

被引：15
|
作者：
Mechab, Ismail [1 ,2 ]
El Meiche, Noureddine [1 ,3 ]
Bernard, Fabrice [4 ]
机构：
[1] Univ Mascara, Mascara 29000, Algeria
[2] Univ Djillali Liabes Sidi Bel Abbes, LMPM, Dept Mech Engn, Sidi Bel Abbes 22000, Algeria
[3] Univ Djillali Liabes Sidi Bel Abbes, LGCE, Sidi Bel Abbes 22000, Algeria
[4] LGCGM, INSA Rennes, 20 Ave Buttes Coesmes, F-35708 Rennes 7, France
来源：
COMPOSITES PART B-ENGINEERING | 2017年 / 119卷
关键词：
Warping function; Higher order theory; Principle of virtual work; Three-point bending; Finite element method; SHEAR DEFORMATION-THEORY; FREE-VIBRATION ANALYSIS; WALLED COMPOSITE BEAMS; OPEN CROSS-SECTION; LAMINATED COMPOSITE; ELASTIC FOUNDATIONS; BOUNDARY-CONDITIONS; PLATES; BEHAVIOR;
D O I：
10.1016/j.compositesb.2017.03.006
中图分类号：
T [工业技术];
学科分类号：
08 ;
摘要：
This paper presents an analytically and numerical study of the Warping phenomenon in short beams, thick plates and anisotropic materials. A transverse shear higher order theory is considered. The equilibrium equations are inspired by the principle of virtual work that has permitted to establish the boundary conditions. The analytical development of a new warping function is inspired by others works found in the literature for three-point bending. The stabilization of this new iterative function under a uniformly distributed pure bending load is used for any type of structure. Analytical results are compared with other existing models in the literature and a simulation using the finite element method. (C) 2017 Elsevier Ltd. All rights reserved.
引用
收藏
页码：18 / 31
页数：14
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