Investigating the Influence of Material Composition on Bending Analysis of Functionally Graded Beams Using a 2D Refined Theory

Mourad, Chitour; Rebai, Billel; Mansouri, Khelifa; Khadraoui, Faicel; Berkia, Abdelak; Messas, Tidjani

doi:10.22059/jcamech.2024.368866.909

Investigating the Influence of Material Composition on Bending Analysis of Functionally Graded Beams Using a 2D Refined Theory

Document Type : Research Paper

Authors

Chitour Mourad ¹

Billel Rebai ²

Khelifa Mansouri ¹^{, 3}

Faicel Khadraoui ¹

Abdelak Berkia ¹

Tidjani Messas ²

¹ Faculty of Sciences & Technology, Mechanic Eng Department, University Abbes Laghrour, Khenchela 40000, Algeria

² Faculty of Sciences & Technology, Civil Eng Department, University Abbes Laghrour, Khenchela 40000, Algeria

³ Laboratory of Eng and Sciences of Advanced Materials (ISMA), Khenchela 40000, Algeria

10.22059/jcamech.2024.368866.909

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.

Keywords

Mechanical behavior

beams,

Property Gradient Materials

Principle of virtual work

Navier' s solution

Subjects

Composites

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