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 The linear elastic stress analysis of curved pipes under generalized loads using a reduced integration finite ring element
Please use this identifier to cite or link to this item http://hdl.handle.net/10773/8088

title: The linear elastic stress analysis of curved pipes under generalized loads using a reduced integration finite ring element
authors: Melo, F. J. M. Q.
Castro, P. M. S. T.
keywords: Linear elastic stress
Curved pipes
Ring element
Reduced integration
issue date: Jan-1997
publisher: SAGE Journals
abstract: This paper consists of a linear elastic stress analysis of curved pipes having all the possible boundary conditions in structural engineering and submitted to a generalized in-plane or out-of-plane loading. A semi-analytic displacement formulation ring element was developed, where simple first-degree polynomials were used to interpolate the global shell displacements along the longitudinal direction, and Fourier series were used along the meridional direction. The deformed shape of the curved pipe results from the superposition of the beam-type displacement to that of a toroidal shell. For the first case, the curved pipe was considered as being a short thin-walled straight beam element joining two nodal sections. In this case, as the pipe element is not curved, it is natural to consider that the transverse section undergoes no ovalization or warping. A C0-continuity reduced integration beam element was adopted for this purpose, leading to a simple and economic definition for the stiffness terms. In the second case, the displacement field was assumed to result from a stressed toroidal shell, where the transverse section could ovalize and warp. The stiffness terms following these assumptions are combined with those of the straight beam to give the complete stiffness matrix. This element has the important advantage of generating a zero stress field along the curved centroidal line when submitted to pure in-plane bending and, consequently, to the satisfaction of the ‘patch test’.
URI: http://hdl.handle.net/10773/8088
ISSN: 2041-3130
publisher version/DOI: http://dx.doi.org/10.1243/0309324971513210
source: Journal of Strain Analysis for Engineering Design
appears in collectionsMEC - Artigos

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