Imposing maximum length scale in topology optimization

By James K. Guest. 2009

296 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/f92f811024411e5d6a7482ab2e484698237088cb

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In Civil and Structural Engineering

In Computational Theory and Mathematics

In Mechanics of Materials

Citations in the corpus

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].”
A survey of structural and multidisciplinary continuum topology optimization: post 2000 (2014, methodology): “To combat this for situations where crisp boundary definition is important, several schemes have recently been developed to project the filtered densities into 0/1 (void/solid) space via a relaxed Heaviside function (Guest et al. 2004, 2011; Kawamoto et al. 2011) and morphology-based operators (Sigm”
Multi-objective concurrent topology optimization of thermoelastic structures composed of homogeneous porous material (2013, background): “2001), density filters (Bourdin 2001; Wang and Wang 2005), sensitivity filters (Sigmund 1994a), morphologybased operators (Sigmund 2007) and projection schemes (Guest, Prevost et al. 2004; Guest 2009) have been proposed in the past twenty years.”
Reducing dimensionality in topology optimization using adaptive design variable fields (2010, methodology): “Engineering design problems, however, often include local constraints on performance, such as stress constraints [26–28], and/or constraints on geometry, such as minimum length scale [29] or maximum length scale [30] of features.”
Length scale and manufacturability in density-based topology optimization (2016, background): “In [59] maximum length scale is enforced on topology optimized designs by restricting the amount of material in the neighborhood of each point in the design domain.”