Elastic Instability and Buckling of Cylindrical Vessels Immersed in Fluid*

In this work, we develop numerical models to study the deformation of hyperelastic cylindrical vessels immersed in an incompressible fluid. The elasticity of the vessels is described using neo-Hookean elasticity theory and the interaction of the structure and fluid is modeled using the Immersed-Boundary formulation. From numerical simulations, we observed that cylindrical shells under axial compression will experience different buckling and barrelling modes depending on the slenderness and bending rigidity of the shells. Our results can be used to compare with existing theoretical works such as the one by Goriely et al. published in 2008. To expand our study, we construct and analyze other models in which the vessels are deformed under isotropic compression or under the flow of fluid within the shells.