Geodesic
Torsion of elliptical composite bars containing neutral coated cavities
Theoretical and applied mechanics, Tome 43 (2016) no. 1, p. 33 .

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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.
DOI : 10.2298/TAM151029001W
Classification : 74B05, 74E30, 30E25
Keywords: Saint-Venant torsion, elliptical bar, neutral coated cavities, complex variable method, conformal mapping 
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Xu Wang; Cuiying Wang; Peter Schiavone. Torsion of elliptical composite bars containing neutral coated cavities. Theoretical and applied mechanics, Tome 43 (2016) no. 1, p. 33 . doi : 10.2298/TAM151029001W. http://geodesic.mathdoc.fr/articles/10.2298/TAM151029001W/

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