Investigation of the Effect of Porosity on Thermo-Elastoplastic Bending of Functionally Graded Plates Using 3D Meshless Radial Basis Reproducing Kernel Particle Method

Document Type : Research Article

Author

Department of Mechanical Engineering, Fasa University, Fasa, Iran

Abstract

In this paper, the effect of porosity on the thermo-elastoplastic bending response of temperature-dependent functionally graded plates exposed to a combination of thermal and mechanical loads is studied using a three-dimensional meshless model based on the radial basis reproducing kernel particle method. To describe the plastic behavior of the plate, the von Mises yield criterion, isotropic strain hardening, and the Prandtl-Reuss flow rule are adopted. The material properties are continuously varying in the thickness direction according to a power-law function in terms of the ceramic and metal volume fractions. The modified rule of mixtures is employed to locally evaluate the effective thermomechanical parameters of the functionally graded material. A 3D meshless model based on the radial basis reproducing kernel particle method is developed and used in all analyses. To show the accuracy and efficiency of the present method, the obtained results are compared with the existing analytical and numerical results and very good agreements have been observed. Several numerical examples for temperature, deflection, and stress analysis of porous functionally graded plates are presented, and the effect of significant parameters such as porosity coefficient, material gradient index, thickness ratio, and boundary conditions on the bending response of plates has been investigated.

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References

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Amirkabir Journal of Mechanical Engineering
Volume 54, Issue 10
January 2023
Pages 2377-2398

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