# Using ABAQUS subroutine (UMAT,VUMAT) to modeling FGM plate

Hello every body

I am working on modeling FGM plate in abaqus6.8,i know that it's possible to modeling FGP by using UMAT subroutine for definig variation of material's properties,but i don't know how can i use this subroutine,could you tell me please?

### FGM UMAT

I am working on modeling FGM turbine blade in abaqus,if it's possible, please tell me how

thanks

### FGM

Hello,

here are a few links on spatial variation of material properties

1) get this PhD thesis:

DYNAMIC STRESS INTENSITY FACTORS
FOR HOMOGENEOUS AND NONHOMOGENEOUS MATERIALS
USING THE INTERACTION INTEGRAL METHOD
BY
SEONG HYEOK SONG
THESIS
Submitted in partial fulfillment of the requirements
for the degree of Master of Science in Civil Engineering
in the Graduate College of the
University of Illinois at Urbana-Champaign, 2003

The code appears also in
Buttlar, W., Paulino, G., and Song, S. (2006). ”Application of Graded Finite Elements for Asphalt Pavements.” J. Eng. Mech., 132(3), 240–249.
Application of Graded Finite Elements for Asphalt Pavements

2) http://www.imechanica.org/node/9485
Varying material properties spatially in ABAQUS

3) http://www.imechanica.org/node/614

4) SIMULIA Learning Community
Defining Depth Dependent Material Properties in Abaqus
by: Jessica NICHOLSON, 2013-10-17

5) http://paulino.cee.illinois.edu/software.html
Development of user subroutines in commercial software (UMAT and UEL in ABAQUS)

6) a former reply in the ABAQUS mailing list
http://groups.yahoo.com/neo/groups/Abaqus/info

----------------------------------------------------
Changing material property over coordinates

You should be able to define your elastic modulus values as a tabular
function of a field variable (set the number of field variables to "1"
when defining an elastic material in the "Edit Material" dialog box).
In this case, the field variable value will correspond to your
Y-coordinate. Unfortunately, ABAQUS/CAE doesn't currently support the
definition of predefined field variables (even though it has tools to
define discrete and analytical fields which can be used in interaction
and load definitions). So, you'll need to edit the input file to add a
*INITIAL CONDITIONS,TYPE=FIELD,VARIABLE=1 section and/or a
*FIELD,VARIABLE=1 section to actually define the field variable values.
Alternatively, you can use the UFIELD subroutine (this might actually
be easier, since the coordinates of the nodes are passed into the
subroutine, and all you'll have to do is set FIELD(NSECPT,1) = COORDS(2)).

Regards,
Dave

-------------------------
Dave Lindeman
3M Company
3M Center 235-3F-08
St. Paul, MN 55144
651-733-6383

S.M.Ali Tasaloti wrote:
>
>
> Hello to all,
> Maybe my question is easy but I didn't find any answer for it. I want
> for example to change the young modulus of material linearly over
> y-coordinate of the 2D model.
----------------------------------------

Regards

Frank

------------------------------------------
Ruhr-University
Bochum
Germany

### how to model the density as a function of the coordinates?

I want to model a 2D FGM cylinder. for this purpose, the young's modulus and poission's ratio were modeled by vumat. But I do not know how to model the density as a function of the coordinates(x,y).