Computational bifurcation analysis for hyperelastic residually stressed tubes under combined inflation and extension and aneurysms in arterial tissue

In this investigation, the mechanical modelling of a hyperelastic residually stressed thick-walled circular cylindrical tube under inflation and extension is performed from a numerical standpoint. The constitutive relation is derived for residually stressed solids using an invariant-based free energy approach. A three-dimensional residual stress field is introduced in the argument of the free-energy function. This formulation is incorporated...