finiteanalysis

Finite Element Analysis

Assume that the random composite is subjected to a uniform pressure load r_o , in the x-direction. If the elastic properties are taken to be homogeneous, then the distribution of stresses is:

s_xx=r_o
s_yy= 0
t_xy= 0
However, using the local elastic property fields from moving-window GMC we obtain the following distributions of stress (blue corresponds to low stress, red corresponds to high stress).

s_xx(min = .70r_o , max= 1.37r_o )
s_yy(min= -.19r_o , max= .12r_o )
t_xy(min= -.10r_o , max= .11r_o )

Sample s_yy

s_xx t_xy

The next step is to simulate new material property fields, based on a statistical description of the original local material properties

Statistical Description