Stacking of material phases with respect to shear modes

Direction Stress/El. Flux Density Strain/El. Field Strength 

Since the coupled fields have an agreeing direction, they are subjected to the same kind of assumption of Remark 5.5. Hence, the macroscopic constitutive submatrices Gj, Gf, G2, and G2, where the upper index is associated with the stacking direction and the lower with the agreeing direction of the coupled 

The plane transverse to the fiber direction is always involved with the stacking in the considered directions. Thus, for both directions, the macroscopic stress component T12 of the entirely decoupled shear mode coincides with those of the individual phases and the resulting shear stiffnesses Cgg and Cgg only differ by the participating directional fiber fraction  

So far, the two necessary cases of stacking of constituents have been examined for normal as well as shear modes and macroscopic constitutive relations have been obtained for each of them. In the next step, their integration with the goal to depict the simplified representative volume element needs to be considered. 

Remark 5.6. The macroscopic properties of the composite may be gained by employing the effective constitutive coefficients of one stacking direction as initial constitutive coefficients of the fiber material of the next. 

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Table 5,3, Assumptions for the stacking of material phases with respect to shear modes.

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