Delfino A, Stergiopulos N, Moore J E, Meister J J
Biomedical Engineering Laboratory, Swiss Federal Institute of Technology Lausanne, Switzerland.
J Biomech. 1997 Aug;30(8):777-86. doi: 10.1016/s0021-9290(97)00025-0.
A three-dimensional finite element model of the carotid artery bifurcation was constructed in order to determine the stress field and assess the modification of the stress field when residual strain is taken into account. Residual strain in the carotid bifurcation was characterized by experimental observations. According to these observations, a geometrical model of the carotid artery was constructed to exhibit a state free of strain. Appropriate boundary conditions were applied to yield the correct geometry in the unloaded state, and physiological levels of pressure and axial stretching were applied. The model took into account the varying thickness of the arterial wall along the bifurcation. For modeling purposes, the material was considered to be hyperelastic, incompressible, homogenous and isotropic. For comparison, a similar model of the carotid artery which does not include the effects of residual strain was also created. The results demonstrate that in the model of the carotid artery bifurcation with residual strain, the distribution of maximum principal stress along the inner wall and the circumferential stress throughout the wall is much more uniform than in the model without residual strain. The ratio between the stress at the inner and the outer walls is highest at the lateral wall of the carotid sinus; this is the same location known to be a site of low and oscillatory fluid wall shear stress, and the principal location of early intimal thickening. These results suggest that the localization of atherosclerosis in the carotid artery may be due to local variations in both fluid wall shear stress and solid wall stress.
构建了颈动脉分叉的三维有限元模型,以确定应力场,并评估考虑残余应变时应力场的变化。通过实验观察对颈动脉分叉处的残余应变进行了表征。根据这些观察结果,构建了一个无应变状态的颈动脉几何模型。施加了适当的边界条件以在未加载状态下产生正确的几何形状,并施加了生理水平的压力和轴向拉伸。该模型考虑了动脉壁沿分叉处厚度的变化。出于建模目的,材料被视为超弹性、不可压缩、均匀且各向同性的。为了进行比较,还创建了一个不包括残余应变影响的类似颈动脉模型。结果表明,在考虑残余应变的颈动脉分叉模型中,沿内壁的最大主应力分布和整个壁的周向应力比不考虑残余应变的模型更加均匀。颈动脉窦侧壁处内外壁应力之比最高;这与已知的低且振荡的流体壁面剪应力部位相同,也是早期内膜增厚的主要部位。这些结果表明,颈动脉粥样硬化的定位可能是由于流体壁面剪应力和固体壁应力的局部变化所致。