Finite elasticity modelling of vascular prostheses mechanics

In this paper, a mathematical model of the mechanical behaviour of prosthet ic blood vascular structures is analysed when taking into account effects o f finite deformations, residual stresses which can be induced by fabricatio n processes and the composite nature of the material constituting those str uctures. The case of particular applied strains, viewed as arising during s urgical manipulation and implying axial and circular shear stresses, is als o studied. The resulting distribution of stresses within the wall shows lar ge gradients which can be reduced when the effects of adequate pre-existing initial stresses are present.