title: Non-linear rotation-free shell finite-element models for aortic heart valves.
abstract: Hyperelastic material models have been incorporated in the rotation-free, large deformation, shell finite element (FE) formulation of (Stolarski et al., 2013) and applied to dynamic simulations of aortic heart valve. Two models used in the past in analysis of such problem i.e. the Saint-Venant and May-Newmann-Yin (MNY) material models have been considered and compared. Uniaxial tests for those constitutive equations were performed to verify the formulation and implementation of the models. The issue of leaflets interactions during the closing of the heart valve at the end of systole is considered. The critical role of using non-linear anisotropic model for proper dynamic response of the heart valve especially during the closing phase is demonstrated quantitatively. This work contributes an efficient FE framework for simulating biological tissues and paves the way for high-fidelity flow structure interaction simulations of native and bioprosthetic aortic heart valves.
authors.affiliation: Saint Anthony Falls Laboratory, University of Minnesota, Minneapolis, MN 55414, United States.
authors.forename: Anvar
authors.initials: A
authors.lastname: Gilmanov
authors.affiliation: Department of Civil, Environment and Geo-Engineering, University of Minnesota, Minneapolis, MN 55414, United States.
authors.forename: Henryk
authors.initials: H
authors.lastname: Stolarski
authors.affiliation: College of Engineering and Applied Sciences, Stony Brook University, Stony Brook, NY 11794-2200, United States. Electronic address: fotis.sotiropoulos@stonybrook.edu.
authors.forename: Fotis
authors.initials: F
authors.lastname: Sotiropoulos
mesh_terms: D016880:Anisotropy; D003198:Computer Simulation; D020342:Finite Element Analysis; D006350:Heart Valve Prosthesis; D006351:Heart Valves / Q000502:physiology*; D006801:Humans; D008955:Models, Cardiovascular; D012399:Rotation
keywords: Finite element; Non-linear anisotropic model; Rotation-free approach; Thin shells