脉动血压对在体轴向极限强约束血管壁应力分布的影响

本文详细分析正弦脉动压力载荷对动脉管壁应力分布的影响。结果表明，对某确定时刻，包含在运动方程中的惯性项对血管壁应力的影响很小，可忽略不计；在体轴向极限强约束下，血管壁周向应力随时间的变化曲线与压力曲线同相位和同周期，而且振幅不随频率的快慢而改变。一个心动周期内，血管内、外壁处周向应力随时间变化的平均值只与脉动压力载荷的平均值有关，而振幅主要与脉压有关，在内壁处随平均压的改变有一定变化，但在外壁处受平均压的影响很小。

Effects of Pulsatile Pressure on Stress Distributionin Artery Wall at in Vivo Longitudinal Limit Constraint

In this paper, the effects of the sinusoidal pulsatile pressure on the stress distribution in the artery wall will be studied. Results show that the acceleration term in the equation of motion has little influence on the stress in the artery wall, and can be ignored. At in vivo longitudinal limit constraint, the variation of the circumferential stress with time have the same phase and period with the curves of the pulsatile pressure, and the amplitudes have no change with the frequency. During a cardiac cycle, the mean circumferential stress in the inner and outer wall only relates to the mean pressure, and the pulsatile stress value is mainly connected with the pulsatile pressure. The change of mean pressure has some influence to the pulsatile value in the inner wall, and little influence in the outer wall.