Thermal and hygrothermal buckling characteristics of porous magneto-electro-elastic skewed plates using third-order shear deformation theory

Abstract

The implementation of third order shear deformation theory using finite element method is presented in the current article to analyze the stability characteristics of porous magneto-electro-elastic (MEE) plates. This study aims to present the obscure behavior of FGMEE plate considering the loading to be hygrothermal in nature for buckling. Several temperature and porosity distribution are involved in this study in order to understand their influence on the buckling characteristics. The material properties of the porous MEE plate are assumed to vary continuously throughout its thickness according to rule of mixture. The porosity is considered as a locally distributed density estimated using the modified power law. The effect of temperature and moisture on buckling of MEE plates is of interest in this study. Skewness is incorporated through a transformation matrix to account for the angle. The stability characteristics of the porous FGMEE plate are examined under thermal, hygrothermal, electric, and magnetic loads to determine the critical buckling temperature. The influence of various variables, such as porosity, porosity distribution, and porosity volume, on the buckling behavior is extensively studied to realize that as porosity increases, the critical buckling temperature decreases in both load forms and noticed to be highest in Vo and Vx porosity distribution. Skew angle directly influenced the critical buckling temperature and was seen to be increasing with increase in skew angle between the plates. The study is also extended to assess the effect of geometrical parameters, such as aspect ratio, thickness ratio, and boundary conditions, on the stability characteristics that established an inverse relation between the parameters.