Computational formulation of shakedown analysis as a conic quadratic optimization problem

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Formulation and solution of some plasticity problems as conic programs (2007, background): “Applications to smooth problems, where conic programming is less appealing but still applicable, have also been successful (Gilbert and Tyas, 2003; Makrodimopoulos, 2006; Bisbos et al., 2005).”
Mesh adaptive computation of upper and lower bounds in limit analysis (2008, methodology): “More recently, an approach based on second-order cone programming (SOCP) has been followed in [19–21] using simplex elements for displacements and strains.”
Shakedown analysis of engineering structures with limited kinematical hardening (2012, background): “, 2009) gained in importance in the field of limit and shakedown analysis (e.g., Trillat and Pastor, 2005; Bisbos et al., 2005; Makrodimopoulos, 2006; Krabbenhøft et al., 2007b; Pastor et al., 2008), which has been developed for Second Order Conic Problems SOCP.”
Upper bound limit analysis using simplex strain elements and second‐order cone programming (2007, methodology): “Although SOCP has been used in several previous studies involving both shakedown and limit analysis [28, 29, 30, 31, 32, 33], these were all restricted to von Mises-type materials.”