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Export Material Data on a Local Coordinate SYstem

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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?





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