A geometry projection method for continuum-based topology optimization with discrete elements

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Length scale and manufacturability in density-based topology optimization (2016, background): “The idea is extended in [146] for the design of photonic crystal wave guides and recently it is applied in [111] to density based topology optimized designs consisting of a union of elements with prescribed pattern.”
A geometric projection method for designing three‐dimensional open lattices with inverse homogenization (2017, methodology): “…A full sensitivity analysis of Ch is beyond the scope of this paper, but may be found in, eg, Allaire et al27 or Watts and Tortorelli.31 We use the extension of the geometric projection of Norato et al15 to 3 dimensions to design unit cells for light, stiff materials via inverse homogenization.”
Self-supporting structure design in additive manufacturing through explicit topology optimization (2017, background): “, overhang angle, minimum length scale) are actually geometrical in nature, it seems more appropriate to include more geometry information in the mathematical formulation of the considered problem and perform topology optimization in an geometrically explicit way (it is worth noting that topological”