Saturation boundary condition within the context of the theory of interacting media with a certain distribution of fibers

The method for generating additional boundary conditions which are required for solving boundary value problems within the context of the theory of interacting continua has been developed by the pioneer work done by Rajagopal et al. [Int. J. Eng. Sci. 24 (1986) 1453]. In this contribution, this additional condition is extended to the case of mixtures containing a certain distribution of fibers (transverse isotropy). Following the same approach, the additional condition takes the well known form and include the effect of initial fibers distribution.