Analytical and numerical investigations of thecollapse of blood vessels with nonlinear wallmaterial embedded in nonlinear soft tissues

Abstract

In this paper, shapes of nonlinear blood vessels, surrounded by nonlinear soft tissues,and buckled due to radial pressure are solved for analytically and numerically. The blood flow ratesthrough the bucked shapes are then computed numerically. A Fung-type isotropic hyperelasticstress-strain constitutive equation is used to establish a nonlinear mathematical model for radialbuckling of blood vessels...