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Torsional rigidity for tangential polygons

Published:2021-07-05 Issue:6 Volume:86 Page:1204-1211
ISSN:0272-4960
Container-title:IMA Journal of Applied Mathematics
language:en
Short-container-title:

Author:

Keady Grant¹

Affiliation:

1. Faculty of Science and Engineering, Curtin University of Technology, Perth, Western Australia 6845, Australia

Abstract

Abstract An inequality on torsional rigidity is established. For tangential polygons, this inequality is stronger than an inequality of Polya and Szego for convex domains.

Publisher

Oxford University Press (OUP)

Subject

Applied Mathematics

Link

https://academic.oup.com/imamat/article-pdf/86/6/1204/41081122/hxab022.pdf

Reference14 articles.

1. A set function defined for convex plane domaines;Aissen;Pacific J. Math.,1958

2. Figures circumscribing circles;Apostol;Amer. Math. Monthly,2004

3. Torsion of uniform bars with polygon cross-section;Hassenpflug;Comput. Math. Appl.,2003

4. Steady slip flow of Newtonian fluids through tangential polygonal microchannels;Keady;IMA J. Appl. Math.,2021

5. Torsional rigidity for tangential polygons.;Keady,2021

Cited by 1 articles. 订阅此论文施引文献订阅此论文施引文献，注册后可以免费订阅5篇论文的施引文献，订阅后可以查看论文全部施引文献

1. Torsional rigidity for regular polygons;Mathematics and Mechanics of Solids;2021-07-27

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