Numerical prediction of deflection and stress responses of functionally graded structure for grading patterns (power-law, sigmoid, and exponential) and variable porosity (even/uneven)

Abstract

This paper introduces the nite element solutions of static deflection and stress values for functionally graded structures by considering variable grading patterns (power-law, sigmoid, and exponential), including porosity e ect. Unknown values are obtained through computations via a customized computer code using cubic-order displacement functions considering the varied distributions 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 and the element sensitivity behavior of the present numerical model are veri ed by solving different kinds of numerical examples available in the published domain. At last, the effects of several geometry-related parameters (aspect ratio, curvature ratio, thickness ratio, porosity index, type of porosity, power-law exponent, geometrical con guration, and support conditions) a ecting the structural sti ness and the corresponding outcomes (deflection and stress) of the Functionally Graded (FG) structure are evaluated and measured using the proposed numerical model.