Static response of FGM porous rhombic conoidal shell

Abstract

Abstract The porosity effect on static analysis of functionally graded porous doubly curved rhombic conoids was investigated. Porosities inside functionally graded materials can occur due to a technical issue during the fabrication process and lead to the occurrence of micro-voids in the materials. The porosity effect was accounted for using a modified power law. The presented mathematical formulation includes normal curvatures in displacement field, as well as cross curvature in strain-displacement field. The improvement in the 2D mathematical model enables to solve problems of moderately thick FGM porous conoids. The feature that distinguishes the presented shell from other is that the maximum transverse deflexion does not occur at its centre. The improved mathematical model was executed in finite element code. The obtained numerical results were compared with the results available in the literature. Once validated, the current model was employed to study the effect of porosity, skew angle, boundary condition, volume fraction index, loading pattern and other geometric parameters.