The projector or its supplement completely determines the properties of a laminate; depends on the normal and the type of the equilibrium (see Table 1)

To compute the local fields, we mention that the fields in the layers
linearly depend on the mean field :

where are the matrix coefficients of magnification of the mean field in the layers.

Conditions 4 and 5 allow for determination of :

** Effective properties tensor**

Knowing the fields in the layers, one easily calculates
the effective properties tensor.
Substituting 6 into 2, one obtains
the formula for
the effective properties tensor
of a
laminate:

Symbolically, we rewrite the representation 8 as a mapping