TRANSMURAL PRESSURE THROUGHOUT A PRE-STRESSED HOLLOW CONDUIT WHEN SUBMITTED TO COMBINED LARGE SOLID DEFORMATIONS

Abstract

In the human body, water passes continuously from the bloodstream across the walls of the blood vessels to the regional lymphatic as a result of a hydrostatic pressure difference. Then, as an illustrative example, our model involves application of a transmural pressure and the resulting transmural filtration of fluid through a pre-strained hollow cylinder subjected to combined finite deformations. 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 fluid-saturated wall for various mechanical parameters such as the pre-stress/strain, the material parameters ratio and applied or induced twist angle are discussed.