Topological derivative-based topology optimization of structures subject to Drucker–Prager stress constraints

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A level set approach for topology optimization with local stress constraints (2014, background): “A different proposal is based on the concept of topological derivative to solve local stress constraint problems with different failure criteria, presenting very satisfactory results [8, 16].”
Topological derivatives applied to fluid flow channel design optimization problems (2016, methodology): “The topological asymptotic analysis was introduced in the fundamental paper [35] and has been successfully applied to the treatment of problems such as topology optimization [9], inverse analysis [27], image processing [26], multi-scale constitutive modeling [8], fracture mechanics sensitivity analy”
Stress-based shape and topology optimization with the level set method (2018, methodology): “Topological derivatives for stress-based functionals were also developed [25,26] and recently applied to topology design of compliant mechanisms [27].”