Assessment of porosity influence on thermo-mechanical stability characteristics of skew functionally graded plates using higher order shear deformation theory

Abstract

The current article presents the modeling and investigation of thermo-mechanical buckling behavior for the porous functionally graded (FG) plates of rectangular and skew geometry. In this article, the modified rule of mixture and power law distribution is incorporated in the Third order Shear Deformation Theory (TSDT) to establish the governing equations using principle of minimum potential energy (PMPE). Finite element meshing is introduced using four node rectangular elements to discretize the FG plate for stability analysis. The constituents of the FG plate are continuous and vary over the thickness in accordance with modified power-law. Porosity is associated as locally distributed density and estimated using modified power law. To ascertain the effective boundary restraints skewness to the FG plate is imposed via transformation matrix. The computation of the critical non-dimensional buckling load for the structures subjected to uni-axial compressive and different thermal loads is executed via Gauss numerical integration. The assessment of the present formulation is performed against the buckling parameter available in the reference literature. Stability characteristics is evaluated under three different temperature distributions. The impact of material compositions, different thermal load, porosity distributions and various other parameters on the stability characteristics of porous FG structures are thoroughly investigated.

Keywords:

• Buckling
• thermal buckling
• porosity
• finite element method (FEM)
• skew plate