A level set method for structural topology optimization with multi-constraints and multi-materials

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A new multi-material level set topology optimization method with the length scale control capability (2018, unknown): “Mei and Wang [21] presented a similar idea to perform multi-material level set topology optimization.”
MULTI-PHASE STRUCTURAL OPTIMIZATION VIA A LEVEL SET METHOD ∗, ∗∗ (2014, methodology): “Fortunately, the shape derivative formulas in [33] and [55] coincide with what we called our approximate shape derivatives obtained in Proposition 2.”
Multi-material topology optimization with multiple volume constraints: a general approach applied to ground structures with material nonlinearity (2017, methodology): “2015; Zhou and Wang 2007; Tavakoli and Mohseni 2014) and level set (Wang and Wang 2004; 2005; Wang et al. 2005; Mei and Wang 2004) approaches have also been used for multi-material topology optimization formulations.”
A mass constraint formulation for structural topology optimization with multiphase materials (2011, methodology): “In fact, the phase field method presented by Wang and Zhou [10, 11] is similar to UMMI-1 with the additional term.”