Nonlinear fully-coupled thermoelastic analysis of bidirectional porous functionally graded doubly-curved shell panels with optimum material distribution

This work focuses on the nonlinear fully-coupled thermoelastic solutions of bidirectional porous functionally graded doubly-curved panels under uniform-pressure and heat-flux. The material properties are assumed to vary in x-y directions and achieved using multivariable power-law based Voigt's scheme. Three types of porosity distribution (even, uneven, and cosine) are considered for the analysis. The nonlinear model is developed, considering cubic-polynomial based temperature-dependent material properties and higher-order Green-Lagrange kinematics. The fully-coupled model is developed using the extended potential-energy principle and 2D-isoparametric finite-element approximations via Picard's iterative scheme. Two-way coupling of deflection and temperature responses is adopted to estimate the thermomechanical behavior. Here, the effects of curvature ratio, power-law, and porosity indices on the longitudinal/transverse/out-of-plane deflections, and temperature-profile are demonstrated. Additionally, the optimum material-distributions are obtained using response surface method by minimizing the thermoelastic responses. Mixed hardening/softening nonlinearity behaviors of bidirectional FGM curved panels is observed for the coupled thermoelastic responses.

Automated summary

This study focuses on the nonlinear fully-coupled thermoelastic solutions of bidirectional porous functionally graded doubly-curved panels. The effects of curvature ratio, power-law, and porosity indices on the deflections and temperature-profile are demonstrated. Mixed hardening/softening nonlinearity behaviors are observed for the coupled thermoelastic responses of bidirectional FGM curved panels.