Steady diffusion of an ideal fluid through a two-layer thick walled pre-stressed and fiber-reinforced hollow cylinder within the context of mixture theory

Abstract

Within the context of mixture theory, an attempt is made to solve a particular problem of radially directed fluid diffusion through a two-layer thick-walled pre-stressed fibrous hollow cylinder submitted to combined large deformations. With respect to both limitations due to perfect interface hypothesis and particular properties of rubber-fluid mixture, our investigation exhibit new results, which show interesting effects of both arterial stiffness in each layer as well as stretching and torsion upon applied mass flux as a function of pressure difference, but also upon spatial variations of both radial and tangential stretch ratios. These results could easily be echoed as an effective aid to improve the methods of making prosthetic conduits for use with living tissue; and can potentially help in understanding de-stiffening therapy, which is appearing as a potential strategy to decrease the stroke incidence and enhance the functional prognosis.