Application of discontinuity layout optimization to plane plasticity problems

By Colin C. Smith, Matthew Gilbert. Proceedings of the Royal Society A, 2007

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Computation of limit and shakedown loads using a node‐based smoothed finite element method (2012, background): “Therefore, various numerical methods that involve continuous, semi-continuous [38] or truly discontinuous [39, 40] approximations of the relevant fields have been developed.”
Adaptive element-free Galerkin method applied to the limit analysis of plates (2010, methodology): “using finite element [1–7] or meshless [8–10] methods), semi-continuous [11] or truly discontinuous [12] representations of the relevant field variables.”
Limit Equilibrium and Limit Analysis: Comparison of Benchmark Slope Stability Problems (2015, methodology): “To further verify the applicability of Limit Analysis with DLO in a practical sense, especially in context of complex problems, this study compares the critical failure surfaces determined from limit equilibrium analyses performed by Baker (1980), which used a dynamic programming optimization algori”
A cell‐based smoothed finite element method for kinematic limit analysis (2010, background): “Since the collapse mechanism is not unique, the punch problem has been solved using continuous [1, 4], semicontinuous [9] or truly discontinuous [59] representations of the velocity field.”