Eliminating beta-continuation from Heaviside projection and density filter algorithms

By James K. Guest, Alireza Asadpoure, Seung-Hyun Ha. 2011

207 citations recorded by the source corpus.

Subfields: Civil and Structural Engineering, Computational Theory and Mathematics, Control and Systems Engineering

View Paper: https://www.semanticscholar.org/paper/3c25aa0b752f10bc1e8e57b43720b1bbd3513b50

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In Civil and Structural Engineering

In Computational Theory and Mathematics

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Citations in the corpus

Length scale and manufacturability in density-based topology optimization (2016, methodology): “A formulation which avoids the continuation and utilizes fixed β is proposed in [60].”
An efficient 3D topology optimization code written in Matlab (2014, unknown): “For example, sensitivity filter (Sigmund 1994, 1997), morphology based black and white (Guest et al. 2004, 2011), and gray scale filter (Groenwold and Etman 2009).”
An efficient approach to reliability-based topology optimization for continua under material uncertainty (2015, methodology): “However, we followed an approach proposed by Guest et al. (2011) and use a constant HPM regularization parameter of 16.”
Robust topology optimization accounting for misplacement of material (2012, background): “Alternatively, a fixed high value of β can be applied combined with an appropriate rescaling of the trust-region for the primal variable ρ in the optimization algorithm (Guest et al. 2011).”
Multi-material topology optimization using ordered SIMP interpolation (2016, methodology): “In order to overcome the well-recognized numerical instabilities to the topology optimization problem, some restriction on the design must be introduced (Díaz and Sigmund 1995; Guest et al. 2011; Sigmund and Petersson 1998).”
A survey of structural and multidisciplinary continuum topology optimization: post 2000 (2014, background): “…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 (Sigmund 2007; Wang et al. 2011c).”