Analytical study for the development of a new warping function for high order beam theory. (15th June 2017)

• Record Type: Journal Article
• Authors: Mechab, Ismail; El Meiche, Noureddine; Bernard, Fabrice
• Is Part Of: Composites. Number 119(2017)
• Page Start: 18
• Page End: 31
• Publication Date: 2017-06-15
• Subjects: Warping function -- Higher order theory -- Principle of virtual work -- Three-point bending -- Finite element method; Composite materials -- Periodicals; Materials science -- Periodicals; Composite materials; Periodicals; Electronic journals; 620.118
• DOI: 10.1016/j.compositesb.2017.03.006
• Languages: English
• ISSNs: 1359-8368

Abstract

Abstract: 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.