LAUSR

Abstract In this paper, a new mathematical model for doubly curved singly ruled functionally graded material moderately thick and deep cone is presented. The mathematical model includes a cubic variation of thickness coordinate along with the inclusion of curvature effect in in-plane displacement fields. Due to second degree polynomial transverse shear strain deformation along the thickness of doubly curved singly ruled functionally graded material cone, shear correction factor need is eliminated. The zero-transverse shear strain at upper and lower surface of doubly curved singly ruled functionally graded material cone is imposed in the formulation. The new feature in the present mathematical model is incorporation of normal curvatures in deformation field and twist curvature inclusion in strain expressions. Due to this new feature, the present 2D model can solve problems of moderately thick doubly curved singly ruled functionally graded material cone. The proposed new mathematical model is coded in finite element code and its results are compared with previous published suitable results. After comparison, the present new mathematical model is used to solve many new static problems of doubly curved singly ruled functionally graded material cone considering different volume fraction indices, boundary conditions, geometric parameters.