Non-Linear Bending Analysis in Porous FG Circular Rotating Plate with Thermo-Mechanical Loads

Document Type : Research Paper

Authors

1 Department of Mathematics, Faculty of Science, Damietta University, P.O. Box 34517, Egypt

2 Department of Mathematics, Faculty of Science, Kafrelsheikh University, Kafrelsheikh 33516, Egypt

3 Department of Mathematics, Faculty of Science, King Abdulaziz University, P.O. Box 80203, Jeddah 21589, Saudi Arabia

Abstract

The current study displays a geometric model of thermo-mechanical symmetric axial bending of a rotating circular porous plate with gradient characteristics and exponential porosity distribution. The thermal and mechanical characteristics of the plate are supposed to be gradient in thickness direction by an exponential porosity distribution law. Using Rissner Mindlin's theory known as first-order deformation theory for small deviation, the equilibrium equations for the bending components are derived. Novelty of the present study is to present the complete thermo-elastic solution of FG porous circular plate to study the resulting bending with distinct boundary conditions. Numerical results for three numerous statuses of boundary conditions are offered and examined to study the effect of the porosity parameter it was found that there is a significant change in the bending components with the variation in the porosity parameter. We conclude from this the importance of geometric models in modern engineering mechanical design.

Keywords

Main Subjects

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Volume 56, Issue 2
April 2025
Pages 296-306
  • Receive Date: 18 February 2025
  • Revise Date: 10 March 2025
  • Accept Date: 12 March 2025