Hierarchical optimization of material and structure

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Multiscale structural topology optimization with an approximate constitutive model for local material microstructure (2015, unknown): “, [4, 5]) where both scale design variables were updated simultaneously and the equilibrium at the structural scale was not enforced.”
Length scale and manufacturability in density-based topology optimization (2016, background): “A non-uniform microstructure can be designed using hierarchical homogenization [118], [35].”
General topology optimization method with continuous and discrete orientation design using isoparametric projection (2015, background): “Alternatively, the most advanced but feasible realization is a two-scale hierarchical optimization strategy [32] that permits virtually any arbitrary microstructure for each design point.”
Current and future trends in topology optimization for additive manufacturing (2018, background): “[94] Rodrigues H, Guedes JM, Bendsoe MP.”
A hierarchical model for concurrent material and topology optimisation of three-dimensional structures (2008, methodology): “This work extends to three-dimensional structural applications, the hierarchical model for simultaneous optimisation of the structural material and topology ( Rodrigues et al. 2002 ).”