Simulation and Analysis of Deep Drawing Process of the Functionally Graded Sheet

Abstract

In this paper, deep drawing process of functionally graded sheet is investigated analytically and using finite element method. Using equations for deep drawing of isotropic sheets and governing equations of functionally graded materials, equations for deep drawing of functionally graded sheets are derived. Mechanical properties of the functionally graded sheet vary through the thickness of it according to the exponential law distribution. Punch force and axial stresses at the wall are calculated by this analytical method. Also, using this force in abaqus software, axial stresses at the wall are determined. The results of two methods were compared with each other and good agreement was obtained.