Bending and Deflection Analysis of Functionally Graded Porous Circular Plates with Radial Porosity Variation Based on the First-Order Shear Deformation Theory

Document Type : Research Article

Authors

Mechanical Engineering Department, Faculty of Technology and Engineering, Arak University, Arak, Iran

Abstract

Porous materials are increasingly used in mechanical, aerospace, civil, biomedical, and advanced engineering applications due to their low density, acceptable strength, high energy absorption, and tunable mechanical properties. One key challenge in designing such materials is the accurate analysis of bending and deflection behavior of porous thin structures, such as circular plates, which is essential for avoiding structural failures. This study presents the elastic bending and static deflection analysis of functionally graded porous circular plates with radially varying porosity distribution, subjected to uniform compressive loading under both simply supported and clamped boundary conditions. The governing equations are derived based on axisymmetric assumptions using the first-order shear deformation theory and solved via both analytical (series solution) and numerical (finite element) methods. The results show excellent agreement between the two approaches (mean error 0.04%) and with existing literature data (mean error 0.05%), confirming the accuracy of the model. Parametric studies reveal that simply supported plates exhibit approximately 2.5 times higher stress and 4 times larger deflection compared to clamped ones. Furthermore, increasing the porosity coefficient by 10% leads to an average increase of about 40% (for simply supported) and 36% (for clamped) in radial stress and central deflection. These findings offer valuable insights for designing lightweight, strong, and efficient structural components in sensitive and performance-driven environments.

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Amirkabir Journal of Mechanical Engineering
Volume 57, Issue 3
June 2025
Pages 333-360

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