Finite Element Analysis of Nonlinear Behavior of FG Cantilever

As a new kind of composite materials, functionally graded (FG) composite material has been introduced to solve numerous practical problem arisen from several applications. Further, in various engineering applications FGM structures can undergo major displacements and withstand significant deformations and large rotations. The goal of this paper is to conduct nonlinear investigation of ceramic/metal FG beam. In this purpose, a user-defined subroutine (UMAT) is created in Abaqus/Standard. The non-linear feedback of the FG beam is supposed elastoplastic based on the isotropic hardening (Ludwik hardening law). The calculation of the effective material properties is based on the Mori–Tanaka scheme as well as self-consistent approach of Suquet. Elastoplastic material properties are evaluated and supposed to change softly over the thickness of the beam. Numerical results obtained show the effect of material allocation on nonlinear responses. It was revealed that power index has a meaningful impact on the nonlinear reply of the FG cantilever subjected to end moment.