AAR-based decomposition method for limit analysis
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The analysis of the bearing capacity of structures with a rigid-plastic behaviour can be achieved resorting to computational limit analysis. Recent techniques [2],[3] have allowed scientists and engineers to determine upper and lower bounds of the load factor under which the structure will collapse. Despite the attractiveness of these results, their application to practical examples is still hampered by the size of the resulting optimisation process.
[1] Scott W. Sloan,et al. Lower bound limit analysis with adaptive remeshing , 2005 .
[2] Antonio Huerta,et al. Upper and lower bounds in limit analysis: Adaptive meshing strategies and discontinuous loading , 2009 .
[3] Heinz H. Bauschke,et al. Finding best approximation pairs relative to two closed convex sets in Hilbert spaces , 2004, J. Approx. Theory.