NONLINEAR ELASTICITY OF BLOOD ARTERIAL DUCT

The paper deals with nonlinear elasticity of blood arterial duct, in which the artery is modeled to bea locally triclinic, transverse isotropic, incorapressible, axisymmetric and thickwalled tube with large deformations, The nonlinear coustitutive relationship of arterial tissues is based on the theorv of Green and Adkins. A nonlinear strain energy density function is introduced for nonlinear stress-strain relationship of second order, in which the coefficient of each term is expressed by means of a Lame’s constant, The elasticity constants are nqcessary to describe such a uonlinear finite strain etastieity of the second order, These constants are determined by means of the stress-strain increment theory.

The paper deals with nonlinear elasticity of blood arterial duct, in which the artery is modeled to be a locally triclinic, transverse isotropic, incompressible, axisymmetric and thickwalled tube with large deformations. The nonlinear constitutive relationship of arterial tissues is hazed on the theory of Green and Adkins. A nonlinear strain energy density function is introduced for nonlinear stress-strain relationship of second order, in which the coefficient of each term is expressed by means of a Lame's constant. The elasticity constants are necessary to describe such a noalincar finite strain elasticity of the second order. These constants are determined by means of the stress-strain increment theory.