Prediction of CTEs of orthotropic composites

Hello

Are any analytical solutions for the effective CTEs (coefficent of thermal expansion) of orthotropic composites available?

I am trying to predict the CTEs of a resin matrix with Al reinforced fibers which have a rectangular cross-section (not a square). All the fiber in 90 degree direction. I know the volume fractions and the details of the rectangular cross section as well as the properties of the resin and Al. The CTEs in the two transverse directions are different.

 Thanks and regards

 Yunxin