Bending Behavior of Functionally Graded Beam with Including Effect of Porosity on Elastic Foundation

Authors

  • Monchai Panyatong Department of Civil and Environmental Engineering, Faculty of Engineering, Rajamangala University of Technology Lanna
  • Saravoot Ruensee Department of Civil and Environmental Engineering, Faculty of Engineering, Rajamangala University of Technology Lanna
  • Rattapon Ketiyo Department of Civil and Environmental Engineering, Faculty of Engineering, Rajamangala University of Technology Lanna

Keywords:

Functionally Graded Materials, Functionally Graded Beam, Porous Materials, Bending Behavior, Elastic Foundation

Abstract

The objective of this paper is to propose the analytical model to study the bending behavior of functionally graded (FG) beam with including effect of porosity on elastic foundation. The distribution of modulus of elasticity of beam through the thickness is defined by using the power law distribution and also considering the influence of porosity. The Euler–Bernoulli beam theory is employed to describe the bending behavior of beam. The governing equation of the problem is established by applying the principle of virtual work. The solution of problem is obtained by using the analytical method. The validation of the solution is evaluated by comparing the obtained results with those from the Galerkin Finite Element Method solutions. The results reveal that: 1) an increase in the porous coefficient leads to a decrease of the modulus of elasticity; 2) an increase in the porous coefficient and the power index results the neutral axis move up and it reduces the bending stiffness which lead to an increase in the deflection; 3) the characteristic distributions of the stresses in  direction depend on the values of the porous coefficient and the power index; 4) the influences of the elastic foundation have more effect on the beam with higher porosity than those with lower porosity.

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Published

2022-09-29

How to Cite

[1]
M. . Panyatong, S. . Ruensee, and R. Ketiyo, “Bending Behavior of Functionally Graded Beam with Including Effect of Porosity on Elastic Foundation”, Eng. & Technol. Horiz., vol. 39, no. 3, pp. 131–146, Sep. 2022.

Issue

Vol. 39 No. 3 (2022): July-September

Section

Research Articles

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