Optimum structure with homogeneous optimum truss-like material

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Current and future trends in topology optimization for additive manufacturing (2018, background): “Both homogeneous (Wang et al. 2016b; Huang et al. 2013a; Niu et al. 2009; Guo et al. 2015; Deng et al. 2013; Fujii et al. 2001; Zhang and Sun 2006; Liu et al. 2008) and heterogeneous (Coelho et al. 2008, 2011; Rodrigues et al. 2002; Xia and Breitkopf 2014, 2015; Wang et al. 2017c; Sivapuram et al.…”
Concurrent topology optimization of multiscale structures with multiple porous materials under random field loading uncertainty (2017, methodology): “To compare the proposed single interpolation scheme and the interpolation schemes proposed in the concurrent TO framework (Liu et al. 2008), substituting (6) into (5), and by virtue of (1), we have”
Design and Optimization of Graded Cellular Structures With Triply Periodic Level Surface-Based Topological Shapes (2019, methodology): “[48] proposed a porous anisotropic material with penalization topology optimization method.”
Mechanical properties of lattice materials via asymptotic homogenization and comparison with alternative homogenization methods (2013, methodology): “There are a number of RVE approaches for the analysis of heterogeneous materials [60,62]; here, AH is applied to determine the effective mechanical properties of the cell topologies under investigation [38].”