Shape equilibrium constraint: a strategy for stress-constrained structural topology optimization

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A survey of structural and multidisciplinary continuum topology optimization: post 2000 (2014, background): “More recently, Xia et al. (2012c, 2013) and Wang and Li (2013) have introduced solutions to the stress problems using level sets methods.”
A level set approach for topology optimization with local stress constraints (2014, methodology): “The article in [37] presents a level set/X-FEM approach to reduce the volume of a structure proposing a single stress constraint (called shape equilibrium constraint function) for the optimization problem, relieving the computational expenses.”
Stress-based shape and topology optimization with the level set method (2018, methodology): “Wang and Li [28] formulated stress-constrained topology optimization with a novel shape equilibrium problem of active constraints, removing the intrinsic nondifferentiability introduced by local stress constraints.”