The deliverable reports all relevant information regarding the development of a simplified constitutive model to describe the material behaviour of the vessel wall, which will be used in combination with the virtual device models for preliminary analyses requiring a reduced computational effort. For this purpose, the constitutive framework of the neo-Hookean and the Fung-Demiray model is described, and subsequently the implementation process in the commercial finite element software ANSYS Mechanical APDL and LS-DYNA is detailed. Lastly, two elementary numerical examples are provided. SIMCor (In-Silico testing and validation of Cardiovascular IMplantable devices) has received funding from the European Union's Horizon 2020 research and innovation programme under grant agreement No 101017578.