A new approach for the solution of singular optima in truss topology optimization with stress and local buckling constraints

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Optimal design of trusses with geometric imperfections: Accounting for global instability (2011, background): “Guo et al. (2001), for example, describe how this formulation may lead to a division of the feasible domain into disjoint subdomains, with the optimal solutions at the boundaries making them difficult locate with conventional optimizers.”
On an alternative approach to stress constraints relaxation in topology optimization (2008, background): “In these cases, the feasible set may become disconnected, as pointed out in Cheng (1995) or Guo et al. (2001) .”
Optimum design of truss topology under buckling constraints (2005, methodology): “The first is that, because of the existence of local buckling constraints, the feasible domain of the optimization problem may become disjoint and the optimum point may be located at the boundary of a region with zero measure in the design space (Cheng 1995; Cheng et al. 2000; Guo et al. 2001 ).”