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A Generalized mathematical representation of the shape of the Wheatley heart valve and the associated static stress fields upon opening and closing

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Author(s):
Oliveira, H. L. ; McKee, S. ; Buscaglia, G. C. ; Cuminato, J. A. ; Stewart, I. W. ; Wheatley, D. J.
Total Authors: 6
Document type: Journal article
Source: IMA JOURNAL OF APPLIED MATHEMATICS; v. 87, n. 4, p. 31-pg., 2022-07-31.
Abstract

This note extends previous work of the authors modelling the Wheatley valve by using six intersecting and contiguous ellipses to obtain a generalized mathematical representation of the Wheatley valve: this provides a number of free parameters that could be employed to obtain an optimal design. Since optimality is multi-objective with many of the objectives conflicting we focus on the stresses imposed on the valve by a constant force field. Three distinctly different designs are chosen and an analysis of the stresses is undertaken, conclusions are drawn and results are discussed. (AU)

FAPESP's process: 21/11129-0 - Mathematical modeling and numerical simulation of the Wheatley heart valve
Grantee:Hugo Luiz Oliveira
Support Opportunities: Scholarships in Brazil - Post-Doctoral