Events > Applied and Numerical Analysis Seminar

Comparative numerical analysis of four hyperelastic isotropic constitutive laws for the arterial wall modelling in the case of cerebral aneurysms

28/09/2012 Friday 28th September 2012, 15:00 (Room P3.31, Mathematics Building)  More
Paolo Tricerri, IST-EPFL

In the recent years mathematical models and numerical simulations applied to the vascular system have been increasing due to their applicability in different physiological cases and pathologies such as aneurysms, thrombosis, atherosclerosis, etc. The presentation focuses on the modelling of the coupled fluid-structure interaction (FSI) problem which arises in haemodynamics using different constitutive laws to describe the vessel wall dynamics. The mechanical behaviour of the tissues composing the vessel wall is highly nonlinear. Moreover, it is known that it shows a non-homogeneous composition and anisotropic behaviour. In this work the arterial tissue has been described as an homogeneous isotropic non-linear material. Numerical simulations of the coupled fluid-structure interaction problem have been carried out using the different constitutive laws and analysing the effects of the different arterial modelling on the numerical results. In particular the attention of this work is referred to a anatomically realistic geometry of cerebral aneurysm that developed on the internal carotid artery.