Perhaps you can find some help here:

http://www2.myoops.org/cocw/mit/NR/rdonlyres/Nuclear-Engineering/22-314JSpring2004/ACF104D9-8C23-4EEB-B3CD-D350871D8EDE/0/elastic_theory.pdf

Thanks Anton Sir. I got some new things in the text.

I think that the material properties are not dependent on the coordinate system.

https://www.researchgate.net/post/Is_there_a_way_of_transformation_between_polar_and_rectilinear_orthotropic_material_properties_in_composite_structures

Also note that under the same loading the deformation of material with rectilinear orthotropy differs from the deformation of material with cylindrical orthotropy.

Thank you Dr. Jafar for looking into it.