Appendix A.3 - Principal Material Coordinate System (PDIR)

Helius PFA expresses constitutive relations and computes stress in the principal material coordinate system of the composite material. For unidirectional microstructures, the default principal material coordinate system is oriented with the '1' direction aligned with the fiber direction, while the '2' and '3' directions lie in the composite material's plane of transverse isotropy. However, in situations where it adds convenience or simplicity to the model creation process, you may change the orientation of the product's principal material coordinate system so that the '2' direction is aligned with the fiber direction, while the '1' and '3' directions lie in the composite material's plane of transverse isotropy.

For woven microstructures, the default principal material coordinate system is oriented with the '1' direction aligned with the fill tow direction, while the '2' direction corresponds to the warp tow direction and the '3' direction corresponds with the out-of-plane direction. However, in situations where it adds convenience or simplicity to the model creation process, you may change the orientation of the principal material coordinate system so that the '2' direction is aligned with the fill tow direction, while the '1' direction corresponds to the warp tow direction. Additionally, you may change the orientation of the principal material coordinate system so that the '3' direction is aligned with the fill tow direction while the '2' direction corresponds to the warp tow direction.

The PDIR field is used to specify the orientation of the principal material coordinate system that will be used. The numerical value (1 or 2 for unidirectional materials and 1, 2 or 3 for woven materials) of the PDIR field specifies which of the principal material coordinate axes will be aligned with the fiber direction (for unidirectional composites) or the fill tow direction (for woven composites). The availability of alternative orientations for the principal material coordinate system provides you with more flexibility in specifying the orientation of the material plies within a section definition.

Consider the following MATPFA entry that appears in a Nastran input file representing a unidirectional microstructure.

MATPFA, 1, 9001, 2, MCT, 0.1, 0.01, INSTANT, OFF,
, , , , , 1, 0

Note, the PDIR field is assigned a value of 2. Therefore, this particular material will use a principal material coordinate system where the '2' axis is aligned with the reinforcing fibers, and the '1' and '3' axes lie in the composite material's plane of transverse isotropy.