This article is cited in 3 papers

Torsion of elliptical composite bars containing neutral coated cavities

Xu Wang^a, Cuiying Wang^a, Peter Schiavone<sup>b

a</sup> School of Mechanical and Power Engineering, East China University of Science and Technology, Shanghai, China
^b Department of Mechanical Engineering, University of Alberta, Alberta, Canada

Abstract: Using complex variable methods and conformal mapping techniques, we establish the existence of coated cavities of various shapes that do not disturb the warping function in a host elliptical bar. These cavities are known as ‘partly neutral cavities’. Our results show that the two axes corresponding to the neutral elliptical coating are parallel to those of the host elliptical bar and that the centre of the elliptical coating can be located arbitrarily on the major axis of the host bar. Examples of neutral coated non-elliptical cavities are provided.

Keywords: Saint-Venant torsion, elliptical bar, neutral coated cavities, complex variable method, conformal mapping.

MSC: 74B05, 74E30, 30E25

Received: 29.10.2015
Revised: 17.11.2015

Language: English

DOI: 10.2298/TAM151029001W

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