An anisotropic constitutive model for immersogeometric fluid-structure interaction analysis of bioprosthetic heart valves

作者：Wu Michael C H; Zakerzadeh Rana; Kamensky David; Kiendl Josef; Sacks Michael S; Hsu Ming Chen^*

来源：Journal of Biomechanics, 2018, 74: 23-31.

DOI：10.1016/j.jbiomech.2018.04.012

• Bioprosthetic heart valves
• Fluid-structure interaction
• Immersogeometric analysis
• Isogeometric analysis
• Kirchhoff-Love shells
• Anisotropic constitutive models

This paper considers an anisotropic hyperelastic soft tissue model, originally proposed for native valve tissue and referred to herein as the Lee-Sacks model, in an isogeometric thin shell analysis framework that can be readily combined with immersogeometric fluid-structure interaction (FSI) analysis for high-fidelity simulations of bioprosthetic heart valves (BHVs) interacting with blood flow. We find that the Lee-Sacks model is well-suited to reproduce the anisotropic stress-strain behavior of the cross linked bovine pericardial tissues that are commonly used in BHVs. An automated procedure for parameter selection leads to an instance of the Lee-Sacks model that matches biaxial stress-strain data from the literature more closely, over a wider range of strains, than other soft tissue models. The relative simplicity of the Lee-Sacks model is attractive for computationally-demanding applications such as FSI analysis and we use the model to demonstrate how the presence and direction of material anisotropy affect the FSI dynamics of BHV leaflets.

• 出版日期2018-6-6