Analysis of uniaxial Tension and circumferential Inflation on the Mechanical Property of Arterial Wall

Abstract

Considering the incompressible strain hardening materials, a new strain energy density function is modified from Gent Model, which fulfills the requirement that the modified strain energy function will transform into Gent model with n=1 . When n=1 and Jm goes into infinity ,the modified strain energy density function can be transformed into neo-hooken model. Arterial wall was considered as incompressible hyper-elastic materials. Uniaxial tension and inflation of arterial wall was been researched by utilizing the modified strain energy function. Influence of constitutive parameters on the mechanical property of arterial wall has been researched. In order to verify the theoretical theory, non-linear finite element analysis of arterial wall was proposed. By utilizing the commercial finite element software MSC.Marc, numerical simulation on mechanical property of arterial wall was carried out based on the modified strain energy function, which showed the finite element results agree with the theoretical results properly. The discussions illustrate that new constitutive model describes the finite deformation property of arterial wall reasonably and the applied range has been broadened by using the new constitutive model.

DOI: http://dx.doi.org/10.5755/j01.mech.21.2.8743