A nisotropic nonlinear-elastic model of the large human blood vessels

A mathematical model describing certain deformation processes in the large human blood vessels is proposed on the basis of the theory of large deformations. The strain-energy function W is taken in the form of a sum of exponentials. The material constants in this function are determined from experiments on specimens of the human abdominal aorta in uniaxial tension along the two principal axes of anisotropy. An analytical calculation of the strains in biaxial tension using the function W gives a good description of the experimental data. The age dependence of the distribution of the stresses σ_r, σ_θ{symbol}, and σ_z, and the function W over the thickness of the vessel wall is analyzed.