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A generalized representation of second moment orientation in polymer systems is presented. Orientation is expressed through the asymmetry of the polarizability tensor. The formulation presumes that local symmetry directions differ from macroscopic machine and transverse directions. The formulation leads to a set of biaxial orientation factors (equivalent to those of White and Spruiell) defined relative to symmetry axes I, II, III and a set of angles ϑ I1  ϑ II2  and ϑ III3  representing the directions of the axes relative to the laboratory axes (1, 2, 3) such as the machine (1), transverse (2) and thickness (normal) directions (3). Any two of these angles e γ , Θ I1  and Θ II2  are sufficient. The formulation is applied to interpret orientation developed in simple shear.

Second Moment Specification of Complex States of Polymer Chain Orientation in Fabricated Plastic Parts