With the development of medical science, there is a growing need for knowledge in the field of biomechanics and engineering, in order to assist doctors decide the optimal treatment and increase accuracy while reducing the risk of error in surgical procedures. The technology of additive manufacturing plays an important role, which enables the fast creation of models with complex geometries. Cardiovascular diseases are a leading cause of mortality, and it is the 3D printing of prototype models for experimental testing that contributes to research progress. Since the 3D printed material is a polymer with different mechanical behavior from the blood vessel wall, the aim of this work is to check whether the 3D printed vessel will be able to have a realistic behavior in the physiological pressure range. This work uses the numerical finite element method and computer simulation of the extension-pressure experiment to obtain the material parameters needed to describe the artery model. The experiment was performed for an incompressible artery model loaded with blood pressure in the Abaqus software package. Two hyperelastic material models were used in the simulation: Mooney-Rivlin and Holzapfel-Gasser-Ogden. The model that describes anisotropic behavior and was developed to describe soft tissue behavior is Holzapfel-Gasser-Ogden, while the model used to define isotropic behavior is Mooney-Rivlin. These simulations give measurements of the displacement of the inner wall of the aorta during the cardiac cycle. The data from the change in the inner radii and outer radii of the artery wall for a given pressure range were collected from these simulations. The Octave software package was used to determine the material parameters. The data from the simulations are approximately described by a Neo-Hooke material model that describes the mechanical behavior of 3D printed polymeric materials very well. The results of the numerical simulation of the Neo-Hooke model were compared with the results of the initial models, and an error was calculated. The simulation procedure is described in detail in the work. Also, since the real soft tissue is very heterogeneous, the influence of heterogeneity on the error between the obtained and target displacements was examined.