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PROCEEDINGS OF THE TWELFTH INTERNATIONAL CONFERENCE ON COMPUTATIONAL STRUCTURES TECHNOLOGY
Efficient Shakedown Analysis of Reinforced Concrete Three-Dimensional Frames subject to a Large Number of Loads
L. Leonetti, A. Bilotta and G. Garcea
Dipartimento di Informatica, Modellistica, Elettronica e Sistemistica, University of Calabria, Rende, Italy
L. Leonetti, A. Bilotta, G. Garcea, "Efficient Shakedown Analysis of Reinforced Concrete Three-Dimensional Frames subject to a Large Number of Loads", in , (Editors), "Proceedings of the Twelfth International Conference on Computational Structures Technology", Civil-Comp Press, Stirlingshire, UK, Paper 236, 2014. doi:10.4203/ccp.106.236
Keywords: shakedown analysis, direct methods, three-dimensional frames..
Using the static theorem and an algorithm based on dual decomposition, a formulation for the shakedown analysis of three-dimensional frames is proposed. An efficient treatment of the load combinations and an accurate and simple definition of the crosssection yield function are proposed to increase effectiveness and to make shakedown analysis an affordable design tools. In particular, considering only flexural plastic mechanisms, the section yield function is obtained by approximating the true values obtained by exploiting the support function concept, by means of a Minkowski sums of ellipsoids. The return mapping process, coming from the dual decomposition, is solved at the element level by means of an algorithm based again on the dual decomposition. It enables the problem to be decomposed at the ellipsoid level and to use a simple and inexpensive radial return mapping process for its solution. A series of numerical tests are presented to show both the accuracy and the effectiveness of the proposed formulation.
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