Hi
I am studying the mechanical response (behavior) of an FGM ( Functionally Graded Material )material that has a varying properties in the x direction according to the following Young's modulus formula
E(x)=E0*exp(ร*x) for: 0<x<L
with: ร the non-homogeneity parameter of the material
Hello friends,
Here is the Abaqus user subroutine for Functionally Graded Material with direct integration method. This Umat is based on S.H.Song's Umat. Obviously the coefficient AAA in calculating E is the ratio of young moduli of two sides of the plate. With this method, one can change young modulus through the thickness.
But I have problem with changing density through the thickness, meaning from density of ceramic to density of metal.
I would be grateful if anyone can help me. Any help would be appreciated.