Stress Analysis of Mitred Bends by Ring Elements

[+] Author and Article Information
O. Watanabe

Institute of Engineering Mechanics, University of Tsukuba, Sakura, Ibaraki, Japan

H. Ohtsubo

Department of Naval Architecture, University of Tokyo, Hongo, Tokyo, Japan

J. Pressure Vessel Technol 106(1), 54-62 (Feb 01, 1984) (9 pages) doi:10.1115/1.3264309 History: Received April 27, 1983; Revised October 21, 1983; Online November 05, 2009


This paper proposes a ring element for the stress analysis of mitred bends, which is an extension of ring elements for pipe bends proposed by the present authors. Since accurate treatments of continuity conditions on the connecting lines between straight pipe segments are employed and strain-displacement relations derived from the general thin shell theory with shear strains are considered, the present method can be applied to problems of mitred bends of complex configurations under general loading conditions. Shape functions are developed by trigonometric functions and Hermitian polynomials of second order in the circumferential and longitudinal directions, respectively. This finite element method requires fewer number of degrees of freedom for the same accuracy than the conventional shell elements.

Copyright © 1984 by ASME
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