AN ORTHOTROPIC HYPERELASTIC MODEL OF CYLINDRICAL THICK SHELLS UNDER PRESSURE : APPLICATION TO THE MODELING OF ANEURYSM

Abstract eng:
The mechanical behavior of blood vessels has been analyzed considering a thick-walled multilayer cylindrical orthotropic model material undergoing large deformations. We analyze herewith the behavior of thick non-linear shells submitted to a pressure on both their internal and external faces, up to the bifurcation regime. We aim thereby at modeling the aneurysm pathology, when an instability inherent to the vessel is triggered by external factors, leading to a bifurcated shape. In order to model in a as realistic manner as possible the vessel, the material of the shell is assumed to obey an orthotropic hyperelastic behavior, and a single layer model is envisaged first. The response of the material is assumed to be instantaneous, so that time-dependent effects shall not be considered in the present contribution. The case of a Saint-Venant Kirchhoff material is considered with special emphasis. The stability conditions of the shell are being studied, and bifurcation conditions are formulated, in terms of the applied pressure, and the geometrical and mechanical parameters that characterize the shell. Bifurcation points are evidenced and calculated.

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