Stents have been introduced to treat ischaemic heart disease, a medical condition caused by atherosclerosis which locally narrows the coronary arteries. Stents reside permanently inside the body after placement. However, the need of mechanical support for the blood vessel is only temporary and the prolonged presence of a foreign device inside the blood flow tract poses a risk for e.g. in-stent thrombosis. This is why biodegradable stents are being developed, which only temporarily provide mechanical support and are subsequently gradually absorbed by the human body. Computer simulations are a non-expensive and time efficient way to obtain insights into the mechanical behaviour of medical devices such as stents and can be used to virtually test stents, to optimize stent geometries and to classify different stents for different lesions. During this doctoral research, the existing modelling strategies for metallic stents have been expanded to be applicable to biodegradable stents. This is a non-trivial task because of the complex and time-dependent structural and mechanical properties of biodegradable materials. Material and degradation models for both biocorrodible metals and bioresorbable polymers have been implemented for use with explicit and implicit finite element solvers, and mechanical and degradation experiments were performed to quantify the model parameters.