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

This paper introduces the finite element solutions of static deflection and stress values for functionally graded structures by considering variable grading patterns (power-law, sigmoid, and exponential), including porosity effect. 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 verified 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 configuration, and support conditions) affecting the structural stiffness and the corresponding outcomes (deflection and stress) of the Functionally Graded (FG) structure are evaluated and measured using the proposed numerical model. (C) 2021 Sharif University of Technology. All rights reserved.

Automated summary

This paper introduces the finite element solutions for the static deflection and stress values of functionally graded structures considering variable grading patterns and porosity effect, and verifies the accuracy of the numerical solutions by simulation through design software. The comparison and sensitivity behavior of the numerical model are validated by solving different types of numerical examples in the published domain.