An adaptive approach to limit analysis

By L. Borges, N. Zouain, C. Costa, Raúl A. Feijóo. 2001

75 citations recorded by the source corpus.

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A non‐linear programming method approach for upper bound limit analysis (2007, unknown): “Despite the works already published as regards mesh adaptivity in limit analysis field ([24–26], etc.”
Upper and lower bounds in limit analysis: Adaptive meshing strategies and discontinuous loading (2009, methodology): “Since no a priori error estimates for limit analysis exist, the usual approach is to use a posteriori techniques, such as non-zero strain rates and the proximity of the stresses to the yield surface [20], or alternatively the recovery of a Hessian matrix in order to provide an anisotropic error esti”
Mesh adaptive computation of upper and lower bounds in limit analysis (2008, background): “Adaptive finite element procedures based on solution derivatives have been proposed in [22].”
Adaptive element-free Galerkin method applied to the limit analysis of plates (2010, methodology): “However, the accuracy of numerical limit analysis solutions is highly affected by local singularities arising from localized plastic deformations [13].”
An interior‐point algorithm for elastoplasticity (2007, background): “for plastic limit and shakedown analysis [58–62] where it appears to furnish excellent results.”
Lower bound limit analysis with adaptive remeshing (2005, methodology): “[1] has proved to be convenient for adaptive remeshing procedures that involve element elongation [8].”