Finite element evaluation of stresses on closed leaflets of bioprosthetic heart valves with flexible stents

Abstract The purpose of this study is to evaluate the influence of stent flexibility on the magnitude and distribution of stresses on the closed leaflets of a porcine bioprosthetic valve. The finite element technique which incorporated large deformation theory has been used in the analysis. Nonlinearities due to geometry, material and pressure dependent boundary conditions are included in the model. An incremental method has been employed in determining the stresses. The pressure was incremented from 0 to 21.3 kPa. Three separate stent flexibilities were considered and this was achieved by modifying the Young's modulus of the stent material. The calculated radial deflections of the tip of the stent post were in agreement with the results of other investigators. The distribution of stresses in the leaflet of a valve mounted on a flexible stent were compared to the stresses in the leaflet of a valve mounted on a rigid stent. Stent flexibility markedly reduced the stresses in the main body of the leaflet in comparison to a rigid stent, but did not affect the magnitude of stresses near commissures.

[1]  P. Pohlner,et al.  Experimental evaluation of aortic homograft valves mounted on flexible support frames and comparison with glutaraldehyde-treated porcine valves. , 1979, The Journal of thoracic and cardiovascular surgery.

[2]  A. Grimm,et al.  Finite‐Element Model for the Mechanical Behavior of the Left Ventricle: PREDICTION OF DEFORMATION IN THE POTASSIUM-ARRESTED RAT HEART , 1972, Circulation research.

[3]  W. M. Swanson,et al.  Dimensions and Geometric Relationships of the Human Aortic Value as a Function of Pressure , 1974, Circulation research.

[4]  M. Thubrikar,et al.  Stresses of natural versus prosthetic aortic valve leaflets in vivo. , 1980, The Annals of thoracic surgery.

[5]  D. Glancy,et al.  The flexible stent. A new concept in the fabrication of tissue heart valve prostheses. , 1971, The Journal of thoracic and cardiovascular surgery.

[6]  M. S. Hamid,et al.  Large-deformation analysis of aortic valve leaflets during diastole , 1985 .

[7]  A A Sauren,et al.  The mechanical properties of porcine aortic valve tissues. , 1983, Journal of biomechanics.

[8]  J. Oden Finite Elements of Nonlinear Continua , 1971 .

[9]  H. Saunders,et al.  Finite element procedures in engineering analysis , 1982 .

[10]  F. J. Thomson,et al.  The glutaraldehyde-treated heterograft valve: some engineering observations. , 1977, The Journal of thoracic and cardiovascular surgery.

[11]  N. Broom,et al.  Fatigue-induced damage in glutaraldehyde-preserved heart valve tissue. , 1978, The Journal of thoracic and cardiovascular surgery.

[12]  J. Mercer,et al.  The geometry and construction of the aortic leaflet. , 1973, The Journal of thoracic and cardiovascular surgery.

[13]  Aahj Fons Sauren,et al.  A numerical model for the analysis of the mechanical behaviour of a leaflet valve prosthesis , 1983 .

[14]  J. Z. Zhu,et al.  The finite element method , 1977 .