Chen, Haofeng and Ure, James Michael and Li, Tianbai and Chen, Weihang and Mackenzie, Donald (2011) Shakedown and limit analysis of 90° pipe bends under internal pressure, cyclic in-plane bending and cyclic thermal loading. International Journal of Pressure Vessels and Piping, 88 (5-7). pp. 213-222. ISSN 0308-0161
The Linear Matching Method is used to create the shakedown limit and limit load interaction curves of 90 degree pipe bends for a range of bend factors. Two load cases are considered i) internal pressure and inplane bending (which includes opening, closing and reversed bending) and ii) internal pressure and a cyclic through wall temperature difference giving rise to thermal stresses. The effects of the ratios of bend radius to pipe mean radius (R/r) and mean radius to wall thickness (r/t) on the limit load and shakedown behaviour are presented.
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