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Shakedown and limit analyses for 3-D structures using the linear matching method

Chen, Haofeng and Ponter, Alan R.S. (2001) Shakedown and limit analyses for 3-D structures using the linear matching method. International Journal of Pressure Vessels and Piping, 78. pp. 443-451. ISSN 0308-0161

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A recently developed method for three dimensional shakedown & limit analyses is evaluated in the present paper. The shakedown and limit loads of a holed plate subjected to biaxial loading are calculated by implementing the upper bound linear matching method into the commercial FE code ABAQUS. A defective pipeline under the combined action of internal pressure and axial tension is also analysed for both shakedown and limit capacities and the results compared with a standard programming method. All the numerical examples confirm the applicability of this procedure to complex three dimensional structures.