Post-buckling shapes of a Blood Vessel Embedded in Nonlinear Soft Tissue

Özet

Abstract

Deformation due to pressure variations of human blood vessel embedded in a soft tissue is considered. Due to symmetry it suffices to consider only a cross section subject to a uniform pressure acting normally through the vessel's wall. The nonlinearity of the vessel's wall is modeled by an isotropic hyperelastic Fung type stress strain model. The surrounding soft tissue is modeled by infinitely many nonlinear springs with two parameters. The equations of equilibrium are formulated as nonlinear boundary value problem. A differential correction numerical scheme is used to solve the nonlinear governing equations and the symmetrical post-buckling shapes of the cross section are presented.