Influence of material gradation on the stress behavior of functionally graded beams: analysis and modeling

Benferhat Rabia , Tahar Hassaine Daouadji , Abdelaziz Hadj Henni

Abstract

This paper investigates the plane stress behavior of a cantilever beam made of functionally graded material (FGM) subjected to combined shear and bending loading. A new formulation of the elastic modulus of FGM materials is proposed, incorporating two graduation parameters: the first representing the material gradation and the second the ratio of the longitudinal elastic modulus. Three models of the mechanical property distribution through the beam thickness are considered: the classical variation, the new model-1, and the new model-2. The mathematical formulation, based on the static equilibrium equations, is developed to predict the distribution of stresses and displacements in the beam subjected to a tangential force applied at its free end. The influence of the graduation parameters k1, k2 and the length-to-thickness ratio L/h on the stress and displacement response is also analyzed.

Key Words

cantilever beam; material gradation; shear and bending loading; static analysis

Address

Benferhat Rabia — Department of Civil Engineering, Ibn Khaldoun University of Tiaret, Algeria; Laboratory of Geomatics and Sustainable Development LGéo2D, University of Tiaret, Algeria
Tahar Hassaine Daouadji — Department of Civil Engineering, Ibn Khaldoun University of Tiaret, Algeria; Laboratory of Geomatics and Sustainable Development LGéo2D, University of Tiaret, Algeria
Abdelaziz Hadj Henni — Department of Civil Engineering, Ibn Khaldoun University of Tiaret, Algeria

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