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Many aneurysms originate from axisymmetric bifurcation buckling and axisymmetric post-buckling of internally pressurized arterial blood vessels, which are thick long cylindrical “shells”. The next 2 images show results from tests and numerical models.
This and the next 2 images are from:
S.R.X. Lopes, P.B. Gonçalves and D.C. Pamplona (Civil Engineering Department, Pontifical Catholic University, PUC-Rio 22453-900, Rio de Janeiro, Brazil),
“Influence of initial geometric imperfections on the stability of thick cylindrical shells under internal pressure”, Communications in Numerial Methods in Engineering, Vol. 23, pp 577-597, 2007
ABSTRACT: This paper investigates numerically and experimentally the influence of initial geometric imperfections on the critical loads of initially stretched thick hyperelastic cylindrical shells under increasing uniform internal pressure. Imperfections in shells can have a global or local character. First, two types of local imperfections are considered: (1) a local axially symmetric imperfection in the form of a ring and (2) a small rectangular imperfection. The influence of the imperfection thickness, position and size are analysed in detail. Results show that the critical load decreases as the imperfections increase in size or thickness and as they move from the boundaries to the centre of the shell. The influence of multiple local imperfections is also studied in the present paper. Finally, the influence of global imperfections is considered with the imperfections described as a variation of the shell curvature in the axial direction. The results show that thick hyperelastic shells may be sensitive to local and global imperfections. In all cases the experimental results are in good agreement with the numerical ones, corroborating the conclusions.
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