Axially sheared and pre-stressed hollow cylinder within the context of the theory of interacting continua

Investigating the effects of altered transmural pressure is of great importance. Indeed, many data obtained from experiments on isolated dog carotid arteries and jugular veins serve to provide a foundation describing the collapse of both arteries and veins for both positive and negative transmural pressures. It has been also reported that transmural pressure induces matrix-degrading activity in porcine arteries ex vivo. An illustrative example dealing with the application of a transmural pressure and the resulting transmural filtration of fluid through a pre-strained hollow conduit subjected to combined finite deformations is investigated here. Some results that can provide additional useful insight can help in improving the method for performing prosthesis conduit material for use with living tissue, understanding problems which involves the diffusion of ideal fluid-saturated wall for various mechanical parameters such as the pre-stress/strain and applied or induced axial shear are discussed.

► Altered transmural pressure is of great importance for applications such as arterial wall.
► Our results enable the construction of the pressure difference–flux relations.
► Our results concern a prototype problem.
► This work will provides a basis for investigating problems involving other types of mixtures.