Numerical Prediction of Deflection and Stress Responses of Functionally Graded Structure for Grading Patterns (Power-Law, Sigmoid, and Exponential) and Variable Porosity (Even/Uneven)

The finite element solutions of static deflection and stress values are obtained in this article for the functionally graded structure considering variable grading patterns (power-law, sigmoid and exponential) including the porosity effect. The unknown values are obtained computationally via a customized computer code with the help of cubic-order displacement functions considering the varied distribution of porosity (even and uneven) through the panel thickness. Also, the values are simulated through design software (ANSYS) to establish the present numerical solution accuracy. The comparison as well as the element sensitivity behaviour of the present numerical model verified by solving different kinds of numerical examples available in the published domain. Lastly, the effect of several influential geometry relevant parameters (aspect ratio, curvature ratio, thickness ratio, porosity index, type of porosity, power-law exponent, geometrical configuration and support conditions) affecting the structural stiffness and the corresponding outcomes (deflection and stress) of the FG structure are computed through the presently derived numerical model.