考虑动脉锥形血管为弹性血管,应用流目耦合方法研究锥形血管在人体血液脉动流动状态下变形问题.在运用血液流动连续性方程、血液运动方程、血管壁运动方程和给定的血压波形函数的基础上,根据流固边界耦合条件建立血管壁变形与应力的关系,揭示血管相应参数变化对血管弹性变形的影响:(1)当血管弹性模量增大到一定程度时,血管壁弹性变形将会很小,失去弹性,导致动脉硬化的发生;(2)当血管壁的厚度增大时,血管壁变形与应力就会增大,如果此时血管某处变薄,则会导致血管破裂;(3)当血压越高时,血管壁变形与应力越大,血压增大到一定程度,会导致脑出血等疾病;(4)当血管半径越大时,血管壁变形与应力会变大,且变化幅度很大.反之,血管壁变形与应力会变小,但变化幅度不明显.通过分析锥形血管弹性变形,为医学工作者研究动脉硬化和脑出血等疾病发病机理提供理论参考.%Considering the conical artery as elastic blood vessel,the deformation of conical blood vessels when the human blood was in pulsation flow state is studied by using fluid-structure interaction method.Based on the blood flow continuity equation,blood motion equation,vascular wall motion equation,and given blood pressure waveform function,the relationship between the deformation and stress of vascular wall is established according to the condition of fluid-structure interaction.The effects of the parameters of blood vessels on the elastic deformation of blood vessels are revealed.When the elastic modulus increases to a certain degree,the elastic deformation of the vascular wall will be very small,losing elasticity and leading to atherosclerosis.With the increasing thickness of the vascular wall,the deformation and stress of the vascular wall will increase,and the rupture of the vessel will happen at somewhere that the vessel is thinned.The higher blood pressure is,the more significant the vessel wall deformation and stress become.When the blood pressure increases to a certain extent,cerebral hemorrhage disease will happen.When the radius of the vessel is larger,the deformation and stress of the vessel wall will become more significant,with obvious amplitude of variation.On the contrary,the deformation and stress of the vessel wall will be smaller,but the amplitude is not obvious.The analysis of elastic deformation of conical vessel provides a theoretical reference for the medical researchers in the study of the pathogenesis of atherosclerosis and cerebral hemorrhage disease.
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