Effect of Porosity on the Thermal Buckling Analysis of Power and Sigmoid Law Functionally Graded Material Sandwich Plates Based on Sinusoidal Shear Deformation Theory

Abstract

This work examines the effect of porosity distributions on thermal buckling analysis of functionally graded material (FGM) sandwich plates. To consider the porosity effect, five different types of distribution models, even, uneven, logarithmic uneven, linear uneven, and sinusoidal uneven are considered. It is assumed that the FGM faces of the sandwich plate are porous while the ceramic core is nonporous. To investigate the thermal buckling behavior of porous FGM sandwich plates, four different types of thermal loads, such as uniform, linear, nonlinear, and sinusoidal temperature rise along the thickness direction are considered. Effective material properties and thermal expansion coefficients of FGM sandwich plates are evaluated based on Voigt’s micromechanical model considering power law FGM (P-FGM) and sigmoid function FGM (S-FGM). The analytical solution is carried out using Hamilton’s variational principle considering the von Karman nonlinearity. The equilibrium and stability equations are derived based on sinusoidal shear deformation theory (SSDT). Numerical results are obtained to observe the influence of different porosity distributions, porosity coefficients, thermal loadings, and geometrical parameters over critical thermal buckling temperature.

Effect of bi-directional material gradation on thermo-mechanical bending response of metal-ceramic FGM sandwich plates using inverse trigonometric shear deformation theory

“…However, literature on BDFGM sandwich plates and shells is limited. Sah and Ghosh (2021b, 2022) presented the buckling response of perfect and imperfect UDFGM sandwich plates under different thermal loadings. Free vibration and buckling behaviour of FG circular plates and nano-beams have investigated by Ebrahimi and Salari (2017, 2018), Ashoori et al .…”

Transient Thermoelastic Analysis of Rectangular Plates with Time-Dependent Convection and Radiation Boundaries

“…Since the CPT neglects shear deformation effects, it cannot give an accurate analysis for thick plates. To account for the shear deformation effects, researchers have developed diverse shear deformation theories, such as the first-order theory [28][29][30][31][32], third-order theory [33][34][35][36][37], sinusoidal theory [38][39][40][41], and hyperbolic theory [42][43][44]. These shear deformation theories can give better predictions on the thermoelastic behaviors of plates in comparison with the CPT.…”