Thickness control in structural optimization via a level set method

By Grégoire Allaire, François Jouve, Georgios-Tsampikos Michailidis. Structural And Multidisciplinary Optimization, 2016

203 citations recorded by the source corpus.

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

View Paper: https://www.semanticscholar.org/paper/3d0737695f9c01add34bb2b19681b2774c88b22c

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In Civil and Structural Engineering

In Computational Mechanics

In Computational Theory and Mathematics

Citations in the corpus

On filter boundary conditions in topology optimization (2017, background): “Local length scale control has also recently been suggested for the level-set approach (Allaire et al, 2016; Wang et al, 2016).”
Minimum length scale in topology optimization by geometric constraints (2015, methodology): “Readers who are interested in maximum length scale in topology optimization are referred to the articles [17, 18, 19, 20, 22].”
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].”
Current and future trends in topology optimization for additive manufacturing (2018, background): “Targeting conventional machining and injection molding, the length scale issue (Allaire et al. 2016; Guest 2009; Guest et al. 2004; Guo et al. 2014a; Poulsen 2003; Zhang et al. 2014) no-undercut restriction (Xia et al.”
Length scale and manufacturability in density-based topology optimization (2016, background): “For level set approaches maximum length scale control is proposed in [106] and [6].”
Topology Optimization for Additive Manufacturing (2016, background): “A recent review paper by Lazarov et al. (2016) covers the topic of length scale and manufacturability in detail.”
A new multi-material level set topology optimization method with the length scale control capability (2018, unknown): “Calculation of (cid:2018) is straightforward [43] but lacks accuracy [57].”
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.”