Deformation And Stress Analysis Of Blood Vessel Wall Under The Ifluence Of Blood Flowing

The problem of blood flow in blood vessels is one of more active branchs incurrently development of bio-mechanics and is a major application of the fluid-structureinteraction. Taking into account the elasticity of arterial blood wall and the elasticvascular wall is deformable, so when the blood flow, the wall will product deformationresulting from the role of the pressure, and the wall will have the inherent elasitic forceact on the blood. Base on the fluid-solid coupling method, this article is to solve andanalysis the deformation and stress of vessel wall, through blood vessels and blood flowelastic interactions.Base on the equation of fluid mechanics to establish the continuity equation of bloodflow and the motion equation of axial and radial. Base on the basics of elasticity toestablish the motion equation of axial and radial of vessel wall. As the movement of bloodvessel wall and the blood is tightly coupled together, so apply compatibility Lagrange-Euler to establish coupling equations. Base on the pulse wave waveform and the shape ofblood vessels to derive blood velocity expression in the axial and radial, combine with themotion equation of vessel wall and the coupling equation, derive the pressure expressionof blood vessel wall, with which derive the deformation expression, according to Hooke'slaw to draw the stress expression. As the characteristic impedance of blood, in the processof blood flow will produce the pressure drop. This text through calculates the pipe pulsewave velocity and characteristic impedance, to draw the pipe pressure drop. Throughspecific examples, draw blood vessel wall deformation and stress, plot the curve anddiscusses the different radius, thickness, elastic modulus of blood vessels, changing bloodpressure and pressure drop influence to the deformation and stress of blood vessel wall.Applying finite element software ANSYS FSI module to simulate the correspondingproblem, and compares the numerical simulation results with the theoretical solution.Verified the reliability of the theoretical solution.