Composite material design of two‐dimensional structures using the homogenization design method

By D. Fujii, Bin Chen, N. Kikuchi. 2001

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Three-dimensional convolutional neural network (3D-CNN) for heterogeneous material homogenization (2020, background): “However, when it comes to iterative computational design of composites with desired properties, these numerical approaches are not suitable owing to the huge computational cost [24] and high-dimensional sample space [25–27].”
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.…”
Topology Optimization of Smart Structures Using a Homogenization Approach (2002, methodology): “The design of composite materials was further addressed by Fujii et al. (2001), where a unit cell comprising different conventional materials was used to optimize the microstructure of a composite material.”
Scale‐related topology optimization of cellular materials and structures (2006, methodology): “[12] studied the compliance minimization problem of the macrostructure through topology optimization of material microstructures using the homogenization method.”
Level-set method for design of multi-phase elastic and thermoelastic materials (2004, methodology): “Sigmund and Torquato, 1997; Fujii et al., 2001 ).”