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

IF 1.4 4区数学 Q2 MATHEMATICS, APPLIED

IMA Journal of Applied Mathematics Pub Date : 2022-07-31 DOI:10.1093/imamat/hxac016

H. L. Oliveira, S. McKee, G. Buscaglia, J. Cuminato, I. Stewart, D. Wheatley

引用次数: 1

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.

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Wheatley心脏瓣膜形状和打开和关闭时相关静态应力场的广义数学表示

本注释扩展了作者先前对惠特利阀建模的工作，通过使用六个相交和连续的椭圆来获得惠特利阀的广义数学表示：这提供了许多可用于获得最佳设计的自由参数。由于最优性是多目标的，许多目标相互冲突，我们关注恒定力场施加在阀门上的应力。选择了三种截然不同的设计，并对应力进行了分析，得出了结论，并对结果进行了讨论。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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来源期刊

IMA Journal of Applied Mathematics 数学-应用数学

CiteScore

2.30

自引率

8.30%

发文量

审稿时长

24 months

期刊介绍： The IMA Journal of Applied Mathematics is a direct successor of the Journal of the Institute of Mathematics and its Applications which was started in 1965. It is an interdisciplinary journal that publishes research on mathematics arising in the physical sciences and engineering as well as suitable articles in the life sciences, social sciences, and finance. Submissions should address interesting and challenging mathematical problems arising in applications. A good balance between the development of the application(s) and the analysis is expected. Papers that either use established methods to address solved problems or that present analysis in the absence of applications will not be considered. The journal welcomes submissions in many research areas. Examples are: continuum mechanics materials science and elasticity, including boundary layer theory, combustion, complex flows and soft matter, electrohydrodynamics and magnetohydrodynamics, geophysical flows, granular flows, interfacial and free surface flows, vortex dynamics; elasticity theory; linear and nonlinear wave propagation, nonlinear optics and photonics; inverse problems; applied dynamical systems and nonlinear systems; mathematical physics; stochastic differential equations and stochastic dynamics; network science; industrial applications.