A novel quasi-3D refined HSDT for static bending analysis of porous functionally graded Plates

Document Type : Research Paper


1 University of Tamanghasset, Faculty of Sciences & Technology, Sciences & Technology Department, BP 10034, Sersouf Tamanghasset 11000, Algeria

2 Materials and Hydrology Laboratory, University of Sidi Bel Abbes, Faculty of Technology, Civil Engineering Department, BP 89, Sidi Bel Abbes 22000, Algeria

3 University of Khenchela, Faculty of Sciences and Technology, Civil Engineering Department, BP 1252 Road of Batna Khenchela, Khenchela 40000, Algeria

4 Civil Engineering Department, College of Engineering, Jazan University, Saudi Arabia


In this paper a quasi-three-dimensional (3D) refined using a novel higher-order shear deformation theory is developed to examine the static bending with two different type porosity distribution of porous for advanced composite plates such as functionally graded plates. In this present theory, the number of unknowns and governing equations is reduced, takes into account the thickness stretching effect into transverse displacement, bending and shear, using a new shape function. The used plate theory approach satisfies the zero traction boundary conditions on the surfaces of the plate without using shear correction factor and the transverse shear strain and shear stress have a parabolic distribution across the thickness of the plates. The virtual work principle is used to obtain the equilibrium equations. An analytical approach based on the Navier solution is employed to obtain the solution for static bending of simply supported FGM plates. The proposed theory shows a good agreement for static bending of FGM plates with other literature results has been instituted of advanced composite plates. Numerical results are presented to show the effect of the material distribution, the power-law FG plates, the geometrical parameters and the porosity on the deflections and stresses of FG plates.


Main Subjects

Articles in Press, Accepted Manuscript
Available Online from 04 March 2024
  • Receive Date: 10 February 2024
  • Revise Date: 29 February 2024
  • Accept Date: 04 March 2024