Minimum length scale in topology optimization by geometric constraints

By Mingdong Zhou, Boyan S. Lazarov, Fengwen Wang, Ole Sigmund. 2015

408 citations recorded by the source corpus.

Subfields: Civil and Structural Engineering, Computational Theory and Mathematics, Mechanics of Materials

View Paper: https://www.semanticscholar.org/paper/89f6240d666dfceacf3da6fe01488179e7128e37

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In Civil and Structural Engineering

In Computational Theory and Mathematics

In Mechanics of Materials

Citations in the corpus

Topology Optimization for Additive Manufacturing (2016, methodology): “More recently, also a method based on the application of geometric constraints has been suggested (Zhou et al., 2015).”
Self-supporting structure design in additive manufacturing through explicit topology optimization (2017, methodology): “In order to control the minimum length scale in topology optimization, both global implicit [9-11] and local explicit [12-17] methods are developed.”
Length scale and manufacturability in density-based topology optimization (2016, methodology): “Minimum length scale ρ ρ {e ρ,∇e ρ} be ρ black and white design with length scale on both phases [166]”
Homogenization-based stiffness optimization and projection of 2D coated structures with orthotropic infill (2019, methodology): “An alternative approach could be to strongly enforce the length-scale of the coating using the method of Zhou et al. (2015). Testing both these ideas will be the topic of future work.”
Undercut and overhang angle control in topology optimization: A density gradient based integral approach (2017, background): “Substantial work has been done in controlling the minimal thickness of topology optimized features [18, 19, 20, 21, 22] and maximal length scale [23, 24, 25].”
On filter boundary conditions in topology optimization (2017, background): “3 Since homogeneous Neumann conditions eliminate spatial gradients at the domain boundary, also the approach of imposing a minimum feature size using explicit constraints based on gradients (Zhou et al, 2015) will need modifications at the boundary.”
Adjoint Method and Inverse Design for Nonlinear Nanophotonic Devices (2018, methodology): “Low-pass spatial filtering and projection techniques [36] were applied during optimization to create binarized (air and chalcogenide) final structures with large, smoothed features.”
Large scale three-dimensional topology optimisation of heat sinks cooled by natural convection (2015, background): “clude projection methods that ensure length scale (to ensure certain thickness of solid members and fluid channels) [54, 55, 56] or interface capturing schemes, such as X-FEM [38] or discrete simplicial complexes (DSC) [57, 58].”