Pre-stressed and reinforced hollow cylindrical mixture of non-linearly elastic solid and ideal fluid subjected to combined deformations: A study within the context of the theory of interacting continua

The theoretical result dealing with the saturation boundary condition, first investigated by [On boundary conditions for a certain class of problems in mixture theory, Int. J. Eng. Sci. 24 (1986) 1453-1463], has been recently extended by [On the saturation boundary condition within the context of the theory of interacting continua containing a certain distribution of fibers, Int. J. Eng. Sci. 41 (2003) 2273-2280] to the case of fibers-reinforced solid-ideal fluid mixture. Taking advantage of this new result, the problem of a hollow cylindrical mixture subjected to combined deformations, previously treated by Gandhi et al. [Some non-linear diffusion problems within the context of interacting continua, Int. J. Eng. Sci. 25 (1987) 1441-1457], is revisited in this contribution and improved by introducing the presence of fibers and residual stress (or pre-stress) characterized by the opening angle of the sector-like cross-section.