Explicit structural topology optimization based on moving morphable components (MMC) with curved skeletons

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Topology optimization with multiple materials via moving morphable component (MMC) method (2018, neutral): “λ 1⁄4 − E(1):ε u(1) ·n 1⁄4 −σ(1) ·n 1⁄4 −σ(2) ·n; (23)”
Self-supporting structure design in additive manufacturing through explicit topology optimization (2017, methodology): “Once the value of χχss on every FE node is calculated, then one can carry out the X-FEM analysis following the same way as in [27, 28].”
A new isogeometric topology optimization using moving morphable components based on R-functions and collocation schemes (2018, methodology): “Actually, the max function used in the calculation of TDF value in conventional MMC-based TO [20,26,27,41] is a specific case of R-functions [54].”
Explicit three dimensional topology optimization via Moving Morphable Void (MMV) approach (2017, methodology): “If, however, fixed mesh is preferable for FEA as in traditional topology optimization methods, the so-called topology description function (TDF) is an appropriate tool to establish the link between the structural topology and FE model of the structure [24].”
Geometrically constrained isogeometric parameterized level-set based topology optimization via trimmed elements (2016, methodology): “[28] presented an explicit structural TO approach based on Moving Morphable Components, in which the topology description function (TDF) is used to describe the geometry of a structural component explicitly.”