Static Analysis of FG Beams via Complementary Functions Method

Year 2020, Volume: 4 Issue: 1, 1 - 6, 20.03.2020

Ahmad Reshad Noorı Timuçin Alp Aslan Beytullah Temel

https://doi.org/10.26701/ems.590864

Cited By: 12

Abstract

Static analysis of Functionally Graded (FG) beams is
studied by the Complementary Functions Method (CFM). The material properties,
Young’s modulus, of the straight beams, are graded in the thickness direction
based on a power law distribution while the Poisson’s ratio is supposed to be
constant. Governing equations of the considered problem are obtained with the
aid of minimum total potential energy principle based on Timoshenko’s beam
theory (FSDT). The main purpose of this paper is the infusion of the CFM to the
static analysis of FG straight beams. The effectiveness and accuracy of the
proposed method are confirmed by comparing its numerical results with those
available in the literature. Application of this efficient method provides
accurate results of static response for FGM beams with different variations of
material properties in the thickness of the beam.

Keywords

Functionally graded beams, Complementary Functions Method (CFM), Static Analysis, Shear Deformation

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