Isogeometric nonlinear transient analysis of porous FGM plates subjected to hygro-thermo-mechanical loads

To provide reference solutions and results for structural and material design, nonlinear transient responses of porous functionally graded plate (PFGM) in hygro-thermo-mechanical environments are studied. Two different porous distributions through the thickness are considered. The material properties such as Young's modulus, Poisson's ratio and thermal conductivity are computed by a modified power law. The hygm-thermal effects are considered as nonlinear through the thickness of the plate. The geometrically nonlinear transient behaviors are expressed by adopting the von Karman relations and solved by Newmark time integration scheme. Based on a combination between the third-order shear deformation theory (TSDT) and isogeometric analysis (IGA), discretize governing equations are approximated. These approaches achieve naturally any desired degree of continuity of basis functions, so that they are easy to fulfil the C-1-continuity requirement of the plate model. The formulations take into account the transverse shear deformation and account for the material properties at elevated moisture concentrations and temperature. The effects played by the moisture concentration, temperature rise, porous volume fraction, boundary conditions and thickness-to-length ratio are performed and results illustrate interesting dynamic phenomenon for PFGM in hygro-thermo-mechanical environments. With obtained results, the nonlinear characteristics of the proposed structure with porosities are based on physical parameters.