To test the capability of the multilayer model, we used previously published layer-specific experimental data relating to the axial pre-stretch, the opening angle, the fiber distribution obtained by polarized light microscopy measurements, and the uniaxial and biaxial response of the porcine descending and abdominal aorta. We fitted the mechanical behavior of each arterial layer using Gasser, Holzapfel and Ogden strain energy function using the dispersion parameter κ as phenomenological parameter obtained during the fitting procedure or computed from the experimental fiber distribution. A multilayer finite element model of the whole aorta with the dimensions of the circumferential and longitudinal strips were then built using layer-specific material parameters previously fitted. This model was used to capture the whole aorta response under uniaxial and biaxial stress states and to reproduce the response of the whole aorta to internal pressure.

Our results show that a model based on a multilayer structure without residual stresses is unable to render the uniaxial and biaxial mechanical response of the aorta ($R^2=0.6954$ and $R^2=0.8582$ for descending thoracic aorta (DTA) and infrarenal abdominal aorta (IAA), respectively). Only an appropriate multilayer model that includes layer-specific residual stresses can reproduce the response of the whole aorta ($R^2=0.9787$ and $R^2=0.9636$ for DTA and IAA respectively). In addition, a multilayer model without residual stresses produces the same stress distribution as a monolayer model without residual stresses where the maximal value of circumferential and longitudinal stresses appears at the inner radius of the intima. Finally, if layer-specific residual stresses are not available, there is less error the stress distribution using a monolayer model with residual stresses that a multilayer model without residual stresses.

为了测试多层模型的功能，我们使用了先前发布的特定于层的实验数据，这些数据与轴向预拉伸，张开角，通过偏振光显微镜测量获得的纤维分布以及猪降落的单轴和双轴响应有关和腹主动脉。我们使用Gasser，Holzapfel和Ogden应变能函数拟合了每个动脉层的机械性能，并使用色散参数κ作为拟合过程中获得的现象参数或从实验纤维分布计算出的现象学参数。然后，使用先前拟合的特定于层的材料参数，构建整个主动脉的多层有限元模型，并具有圆周条和纵向条的尺寸。

我们的结果表明，基于多层结构且没有残余应力的模型无法呈现主动脉的单轴和双轴机械响应（${\mathrm{[R}}^2=0.6954$ 和 ${\mathrm{[R}}^2=0.8582$分别用于降主动脉（DTA）和肾下腹主动脉（IAA）。只有包含特定层残余应力的适当多层模型才能重现整个主动脉的响应（${\mathrm{[R}}^2=0.9787$ 和 ${\mathrm{[R}}^2=0.9636$分别用于DTA和IAA）。另外，没有残余应力的多层模型产生的应力分布与没有残余应力的单层模型产生的应力分布相同，其中在内膜的内半径处出现了圆周应力和纵向应力的最大值。最后，如果没有特定于层的残余应力，则使用具有残余应力的单层模型的应力分布误差会小于没有残余应力的多层模型的误差分布。