An explicit parameterization for casting constraints in gradient driven topology optimization

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Topology Optimization for Additive Manufacturing (2016, background): “The density-based casting constraint suggested by Gersborg and Andreasen (2011) implicitly involves a cavity constraint, which is tightly coupled to the casting constraint.”
Length scale and manufacturability in density-based topology optimization (2016, background): “For the density based formulation, [54] has pro-”
Undercut and overhang angle control in topology optimization: A density gradient based integral approach (2017, background): “Recent work also includes density based explicit constraint for casting [14], projection based constraint for milling [15], and level set based directional constraint in casting [16, 17].”
Current and future trends in topology optimization for additive manufacturing (2018, methodology): “The casting-SIMP (Solid Isotropic Material with Penalty) (Gersborg and Andreasen 2011) was used to remove materials from boundary to surface, so that undercut or interior void was avoided.”