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

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.
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Submitted on : Wednesday, July 5, 2017 - 1:12:29 PM
Last modification on : Thursday, January 9, 2020 - 3:50:13 PM
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Ismail Mechab, Noureddine El Meiche, Fabrice Bernard. Analytical study for the development of a new warping function for high order beam theory. Composites Part B: Engineering, Elsevier, 2017, 119, pp.18-31. ⟨10.1016/j.compositesb.2017.03.006⟩. ⟨hal-01508439⟩

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