NURBS based thermoelastic behaviour of thin functionally graded sigmoidal (TFGS) porous plate resting on variable Winkler's foundation

Abstract

In this current study, thermoelastic static and vibration analysis of the thin functionally graded sigmoidal porous plate subjected using higher-order NURBS-based Isogeometric analysis has been performed. The variation of thermomechanical material properties of this plate is using modified power and sigmoid law. To formulate the mathematical model for plate the Kirchhoff–Love theory-based displacement fields with the virtual work principle and high-order continuity of the NURBS basis functions based isogeometric analysis are employed. Convergence and assessment study has been done to verify the effectiveness and precision of the current approach. The effect of the porosity index, material gradient index, boundary conditions, thermal loading and geometry on the deflection, vibration frequency and detailed investigation of mode shapes. From the analysis, it has been noted that normalized frequency decreases and normalized central deflection increase when the gradient index of the material rises. The findings of this analysis can be utilized for members with extremely less thickness, such as turbine plates and blades, nuclear reactor vessels, and many other machine components made of porous functionally graded material materials.