Radial Deformation of Cylinders Due to Torsion

Padhee, Srikant Sekhar and Harursampath, Dineshkumar (2012) Radial Deformation of Cylinders Due to Torsion. In: JOURNAL OF APPLIED MECHANICS-TRANSACTIONS OF THE ASME, 79 (6).

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Abstract

Classical literature on solid mechanics claims existence of radial deformation due to torsion but there is hardly any literature on analytic solutions capturing this phenomenon. This paper tries to solve this problem in an asymptotic sense using the variational asymptotic method (VAM). The method makes no ad hoc assumptions and hence asymptotic correctness is assured. The VAM splits the 3D elasticity problem into two parts: A 1D problem along the length of the cylinder which gives the twist and a 2D cross-sectional problem which gives the radial deformation. This enables closed form solutions, even for some complex problems. Starting with a hollow cylinder, made up of orthotropic but transversely isotropic material, the 3D problem has been formulated and solved analytically despite the presence of geometric nonlinearity. The general results have been specialized for particularly useful cases, such as solid cylinders and/or cylinders with isotropic material. DOI: 10.1115/1.4006803]

Item Type:	Journal Article
Publication:	JOURNAL OF APPLIED MECHANICS-TRANSACTIONS OF THE ASME
Publisher:	ASME
Additional Information:	Copyright for this article belongs to ASME, NEW YORK
Department/Centre:	Division of Mechanical Sciences > Aerospace Engineering(Formerly Aeronautical Engineering)
Date Deposited:	14 Feb 2013 10:55
Last Modified:	14 Feb 2013 10:55
URI:	http://eprints.iisc.ac.in/id/eprint/45792

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