Investigating the Influence of Material Composition on Bending Analysis of Functionally Graded Beams Using a 2D Refined Theory
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Date
2024
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Abstract
This study attempts to shed light on the analysis of the static behavior of
simply supported FG type property gradient material beams according to an
original refined 2D shear deformation theory. Young's modulus is considered
to vary gradually and continuously according to a power-law distribution in
terms of volume fractions of the constituent materials. The equilibrium
equations are obtained by applying the principle of virtual work. The
governing equilibrium equations obtained are thus solved by using the
analytical model developed here and Navier's solution technique for the case
of a simply supported sandwich beam. Moreover, Using the numerical results
of the non-dimensional stresses and displacements are calculated and
compared with those obtained by other theories. Two studies are presented,
comparative and parametric, the objective of which is the first to show the
accuracy and efficiency of the theory used and the second to analyze the
mechanical behavior of the different types of beams under the effect of
different parameters. Namely boundary conditions, the material index , the
thickness ratio and the type of beam.