Previous analytical models for studying the response of textile reinfo
rced composite materials have been based on either a homogenization of
the textile architecture or a representation of the architecture with
a type of three-dimensional classical lamination theory. In either ca
se, the analyses are not capable of determining the details of the int
ernal response of these highly complicated materials. Although more co
stly than its predecessors, the present analysis is based on the detai
led architecture developed previously and accounts for many of the geo
metric complexities that other analyses ignore.