INTERACTION PROBLEM FOR A BLOOD VESSEL

Abstract eng:
Blood – aortic wall interaction was investigated in a current work using the uncoupled method. The method is based on alternating, relatively independent solutions of two problems – the problem of hydromechanics for a blood flow in the vessel and the problem of elastostatics for a blood vessel wall, with consideration of appropriate conditions, predescribed on their common bound. In order to solve single problems requested for a complex problem solution the Finite Element Method was used. Blood flow is modeled as isothermal laminar steady flow of incompressible Newtonian fluid. Blood vessel is simplified to a thick-walled linear elastic tube, composed of two fiber-reinforced composite layers. The results of the solution of the interaction problem are used later in order to state the failure index for the blood vessel by means of the TsaiHill failure theory obtained for composite structures.

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