Computational modeling of arterial stents

This thesis deals with computational modeling of self-expandable and balloon-expandable arterial stents. The introductory part of the thesis is devoted to a brief overview of basic medical knowledge related to the circulatory system and cardiovascular diseases. Then, a review of constitutive models of soft tissues and arterial stents is processed, including their historical development, classification, and materials used for their production. An experimental tensile test of a nitinol wire is also included, based on which a constitutive model describing the behavior of shape memory alloys is selected. The main part is focused on the computational modeling of the interaction between an artery affected by an atherosclerotic plaque with a nitinol self-expanding stent and with a steel balloon-expandable stent. An analysis of radial displacements on the artery model wall and resulting stress states is carried out. Finally, these two approaches are compared in terms of the enlargement of the cross-sectional area of the given artery