Structure topology optimization: fully coupled level set method via FEMLAB

By Z. Liu, Jan G. Korvink, R. Huang. 2005

102 citations recorded by the source corpus.

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

View Paper: https://www.semanticscholar.org/paper/09a8c459880675ee2f14f90bde298428d4068d6c

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In Civil and Structural Engineering

In Computational Mechanics

In Computational Theory and Mathematics

Citations in the corpus

Adaptive moving mesh level set method for structure topology optimization (2008, methodology): “Since the initial topology does not satisfy the area constraints, a penalty term is added into the functional (7) (Liu et al. 2005)∫ 1 2 γ (H(φ) − V ol∗/V ol )2d (31) where γ is another penalty factor.”
An efficient 3D topology optimization code written in Matlab (2014, unknown): “Some examples of such tools include the topology optimization program by Liu et al. (2005) for Femlab , the shape optimization program by Allaire and Pantz (2006) for FreeFem++ , the open source topology optimization program ToPy by Hunter (2009) for Python , and the 99-line program for…”
Topology optimization involving thermo-elastic stress loads (2010, methodology): “Recently, the level set method was applied by Allaire et al. (2004), Liu et al. (2005) to determine the pressure loading boundary.”
PolyMesher: a general-purpose mesh generator for polygonal elements written in Matlab (2012, methodology): “For instance, in addition to the popular “99 line” code (Sigmund 2001) and its successor (Andreassen et al. 2011), Allaire and Pantz (2006) presented a structural optimization code based on FreeFem++. Liu et al. (2005) introduced a coupled level set method using the FEMLAB package and Challis (2010)”
Topology optimization approaches (2013, background): “In the linear case, for example D = ∇ · ∇φ, one can typically associate a potential with the diffusive term (Allaire et al. 2004; Wang and Wang 2004b; Liu et al. 2005) which is minimized in the course of the updating procedure.”