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)
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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.
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