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