Export Material Data on a Local Coordinate SYstem

Hello,

I have Abaqus file that contains material properties (anisotropic). I need to transform the anisotropic stiffness/compliance matrix to be aligned with a local coordinate system which match my experimental test direction. Please see the image below. The values shown in the image are the stiffness along global coordinate system. I need these values along the local coordinate system. What would be the easiest method to do this?

<?xml version="1.0" encoding="UTF-8"?>

Thanks