## 1 Introduction
In addition, databases on the material parameters were presented using the Holzapfel model, a constitutive model that simulates the vessel, and an evaluation method of the damaged tissues, as well as the material nonlinear behavior were proposed. [PERSON] et al. [4] also assessed the risk of abdominal aortic aneurysm ruptures by using the tensile test and finite element methods, which analyzed the circumferentially and axially oriented strips from sixteen abdominal aortic aneurysms. They also proposed the elasto-plastic damage model to predict the failure stress and strain in the arterial wall. [PERSON] et al. [5; 6] performed tensile tests for unruptured and ruptured abdominal aortic aneurysms, and examined wall thickness ranges according to aneurysm diameters. Moreover, they reviewed the failure stress, strain, and tension based on the location of the aneurysm, orientation of fiber, patient's age and smoking preference, and presented the average stress and strain data and relationship between stress and strain in healthy and diseased tissues. [PERSON] et al. [7] provided new insights on the relationships between patients' natural histories, histopathological, and mechanical behavior that may be useful in identifying the rupture risk evaluation method. [PERSON] et al. [8] examined the biaxial extension behavior of the intraluminal thrombus and thrombus-covered wall in abdominal aortic aneurysms according to the patient's age, and compared this with the proposed material models. They measured the behaviors of the ruptured luminal, medial, and abluminal layers in the circumferential and longitudinal directions. [PERSON] et al. [9] proposed an in vitro experimental approach that provided layer-specific failure data of the intraluminal thrombus tissue under static and pulsatile mechanical loads. In addition, they presented various intraluminal thrombus ultimate strength and stiffness across the radial direction using data from the luminal, medial, and abluminal specimens. Despite the performance of these various studies, some limitations, such as the age range, numerical model for material nonlinear-damage modeling, and criterion for rupture in abdominal aortic aneurysms are still observed. The material properties of the fiber direction in the abdominal aorta tend to decrease as age increases, and the tissues have material nonlinearities according to age [18]. Hence, in experimental and computational studies of the abdominal aorta, advanced studies that assess the variation of material properties according to age and develop a numerical model for material nonlinear-damage modeling should be conducted. Therefore, this study examined the information, tensile tests, and numerical theories for abdominal aortic aneurysms, and the material behaviors of the tissues in patients with abdominal aortic aneurysms were simulated using the ABAQUS finite element program. In the simulation step, the Holzapfel model [19; 20] was used to analyze the material model. In addition, in order to determine the reliability of the simulation technique, the numerical simulations under uniaxial tensile loading for the axial and circumferential directions were compared with experimental results. The stress of the tissue was examined according to age from the numerical simulation and the experimental results. Consequently, the material constants of the failure stress and stretch of the tissues in patients with abdominal aortic aneurysms were proposed according to age. Furthermore, the relationship between material constants and age was examined, and the formula used to determine the relationship was also proposed. These results could be used to examine the wall stress of aortas in patients with abdominal aortic aneurysms, and the results are also expected to be used in the simulations that were conducted to predict rupture risks in abdominal aortic aneurysms.