Mechanics Of Atherosclerosis Index

As an important part of the body, blood relates to the health of human body, and has a direct relationship with a lot of disease. Blood flow, as one of the biomechanics research direction, gets people’s more and more attention. Fluid-structure interaction as an important research content of the blood flow, applied in various fields. When blood flow in the human body, as the flow blood produce some stress, the blood vessels and organs will have an reaction to the blood. Because the hemal wall is elastic, hemal wall can also produce the corresponding displacement, radial or loop. This paper is studying the fluid-structure interaction effect between the blood and vessel wall, combined with our needs, mainly analysis the deformation and stress changes of hemal wall in different conditions.This paper first establish narrow endovascular blood flow continuity and equation of motion when slecting the blood as the fluid, based on the basic knowledge of fluid mechangics, then establish slastic motion equation of the arteries. Because of the interaction between the blood flow and blood vessel walls, you can build blood flow and wall of fluid-solid coupled equations of motion based on the principle of fluid-structure interaction. Then considering the axial strain is very small, we can hoop stress equation of vessel wall based on the generalized Hooke’s law. According to the actual figure of human body and the blood pressure blood flow velocity waveform figure based it, as well as the change situation of vascular caliber is raised, it can get blood axial and radial velocity equation. Combined with the equations of motion of vessel wall and the coupling equation of motion, and finally can deduce the equation about pressure on the pipe wall.According to the method of separation of variables, combined with some parameters, you can get the pressure solution, and then combined with the concrete examples, you can discuss respectively the vessel wall thickness, radius of blood vessels, blood vessel walls of Poisson’s ratio, hemal wall elasticity modulus, thickness of narrow area and smooth area length between the two or several mechanics parameters change for the vessel wall ring to stress and radial stress and displacement and radial displacement of the vessel wall ring. In this paper, to solve the pressure solution, this paper uses two different algorithms, and the results were compared.Then using finite element software, constructs the intravascular fluid-structure coupling model of blood and blood vessel wall, gives specific parameters, it is concluded that the results of numerical simulation, and comparing with the theoretical solution. Finally, this paper proposes a hardening of the arteries.