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
Highlights
Cardiovascular diseases are one of the major death factors in the modern high civilized world
The present work was carried out in order to analyze the uniaxial tension and circumferential inflation on the mechanical property of arterial wall based on the modified strain energy function from Gent
By utilizing the nonlinear finite element software MSC.Marc, numerical simulation on mechanical property of arterial wall was carried out, which illustrate that modified constitutive model describes the finite deformation property of arterial wall reasonably and the applied range has been broadened
Summary
Cardiovascular diseases are one of the major death factors in the modern high civilized world. Based finite deformation theory, research on arterial wall by adopting the method of rubber like materials is rational [5, 6]. The Knowles’ power-law strain-energy is given by: W. where is the shear modulus, b and n are positive material parameters and I1 the first principal invariants of the Cauchy-Green deformation tensor. Gent simplified the Fung’s strain energy function for incompressible materials. The present work was carried out in order to analyze the uniaxial tension and circumferential inflation on the mechanical property of arterial wall based on the modified strain energy function from Gent. By utilizing the nonlinear finite element software MSC.Marc, numerical simulation on mechanical property of arterial wall was carried out, which illustrate that modified constitutive model describes the finite deformation property of arterial wall reasonably and the applied range has been broadened
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