Three-dimensional Mohr-Coulomb limit analysis using semidefinite programming

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Limit analysis of masonry vaults by means of curved shell finite elements and homogenization (2008, background): “On the other hand, it is worth noting that recent trends in limit analysis have demonstrated that the linearization of the strength domain can be circumvented using conic/semidefinite programming (e.g. Makrodimopoulos and Martin, 2006; Krabbenhoft et al., 2007; Krabbenhoft et al., in press).”
Lower bound limit analysis of an anisotropic undrained strength criterion using second‐order cone programming (2018, methodology): “For the latter case, a semi‐definite programming, a generalized SOCP technique for a convex optimization, is required and has been shown to be more efficient and robust for large‐scale 3D problems.(18,19) In geotechnical engineering, a variety of stability problems are involved with the undrained be”
Upper and lower bounds in limit analysis: Adaptive meshing strategies and discontinuous loading (2009, unknown): “In 3D analysis, while Drucker-Prager or Von Mises criteria are expressible as second order cones, the membership constraints of other common plasticity models such as Tresca, Mohr-Coulomb or Hoek-Brown are semidefinite cones [ 17 ].”
Remarks on some properties of conic yield restrictions in limit analysis (2010, background): “[3, 5–10] for second-order cone programming and [11, 12] for semi-definite programming (SDP).”