Abstract

This paper is concerned with the modeling of steady radially directed fluid diffusion into a fibrous two-layer thick-walled hollow cylinder undergoing large deformation The approach presented here, based on the mechanics of interacting continua, seems to be a viable framework to better understanding of the coupled interaction between steady fluid flow and solid large deformation in saturated porous soft materials. Taking advantage of a perfect interface hypothesis between the two-layers of the thick-walled hollow cylinder; and a particular properties of rubber–fluid mixture, new results dealing with pressure difference, stress distribution, … at each layer as well as at the interface are obtained when varying stiffness of each layer. Our results could potentially help in understanding de-stiffening therapy, which is appearing as a possible strategy to reduce the occurrence of strokes and enhance the functional prognosis; they also be adopted as an effective aid to improve methods of designing prosthetic conduits for use with living tissue.

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