Eventos Anais de eventos
COBEM 2021
26th International Congress of Mechanical Engineering
Non-linear Finite Element Method Analysis applied to Functionally Graded Timoshenko Beams
Submission Author:
Marcos Antonio Riquetto Ezequiel , SP
Co-Authors:
Marcos Antonio Riquetto Ezequiel, Carlos Daros
Presenter: Marcos Antonio Riquetto Ezequiel
doi://10.26678/ABCM.COBEM2021.COB2021-1329
Abstract
A non-linear finite element analysis is considered here for the static modelling of Functionally Graded Material (FGM) Timoshenko beams. FGMs play a key role in advanced tailored multifunctional materials. An example of FGMs are metal-ceramic composites used in the aerospace industry. We consider here a geometric nonlinearity for the beams in the form of small strains and moderate rotations. Non-homogeneity is considered along the beam’s height. As a result of the non-homogeneity, we have additionally to the axial and bending stiffnesses the presence of an axial-bending coupling stiffness. Different material law distributions along the beam’s height will be investigated as power-law and exponential- law distributions. The stresses will be equally assessed to optimize the beams’ performances for the different material law distributions and different boundary conditions. The axial bending coupling, which is partly inherent to the geometric non-linearity of the beam, modeled here via finite elements, may produce membrane locking effects. Reduced integration will be applied to circumvent such membrane locking effects.
Keywords
Non-Linear Finite Element Analysis, Functionally graded materials, Timoshenko beam, Membrane locking, Reduced Integration
